
This is my webpage. I'm a mathematical physicist, meaning that I study the mathematical structures that underlie my favourite physical theories. These include vertex operator algebras / conformal field theories and their relation with string theory, integrable models, and anything else that I can think of. At the moment, this means logarithmic conformal field theory, string theory on Lie supergroups, TemperleyLieb representations (and its generalisations), and the integrability of nonlinear sigma models. I'm especially interested in the appearance of indecomposable (but reducible) representations in physics, but pretty much anything that involves cool math is fine with me. Currently, I'm studying examples of conformal field theories in which the correlation functions exhibit logarithmic singularities. In representationtheoretic terms, these logarithmic theories are built from representations which are indecomposable but not irreducible. Such theories arise naturally when considering socalled nonlocal observables (crossing probabilities, fractal dimensions) in the conformal limit of many exactly solvable lattice models (percolation, Ising). They are also relevant to stringtheoretic considerations, especially when the target space admits fermionic directions, AdS/CFT, and perhaps even to black hole holography. In mathematics, there is a tantalising suggestion that logarithmic conformal field theory and SchrammLoewner Evolution may be equivalent in some sense. My current research aims to further our knowledge of the algebraic structures underpinning logarithmic conformal field theories. Expected outcomes include an improved understanding of the applications to statistical physics and string theory, as well as developing beautiful connections with pure mathematics. 





A Gainutdinov, D Ridout and I Runkel (Eds). Logarithmic Conformal Field Theory, a special issue of the Journal of Physics, A46:490301, 2013. Preface (5 pages).
T Creutzig, T Liu, D Ridout and S Wood. Unitary and NonUnitary $N=2$ Minimal Models. 2019, arXiv:1902.08370 [mathph] (32 pages).
S Kanade and D Ridout. NGK and HLZ: Fusion for Physicists and Mathematicians. Springer INdAM Series (to appear), 2019, arXiv:1812.10713 [mathph] (32 pages).
T Creutzig, S Kanade, T Liu and D Ridout. Cosets, Characters and Fusion for AdmissibleLevel osp(12) Minimal Models. Nuclear Physics B938:2255, 2018, arXiv:1806.09146 [hepth].
K Kawasetsu and D Ridout. Relaxed HighestWeight Modules I: Rank 1 Cases. Communications in Mathematical Physics (to appear), 2018, arXiv:1803.01989 [math.RT] (26 pages).
D Ridout, S Siu and S Wood. Singular Vectors for the W_N Algebras. Journal of Mathematical Physics, 59:031701, 2018, arXiv:1711.10804 [mathph] (18 pages).
D Ridout, J Snadden and S Wood. An Admissible Level osp(12)Model: Modular Transformations and the Verlinde Formula. Letters in Mathematical Physics, 108:23632423, 2018, arXiv:1705.04006 [hepth].
J Auger, T Creutzig and D Ridout. Modularity of Logarithmic Parafermion Vertex Algebras. Letters in Mathematical Physics, 108:25432587, 2018, arXiv:1704.05168 [math.QA].
T Creutzig, S Kanade, A Linshaw and D Ridout. SchurWeyl Duality for Heisenberg Cosets. Transformation Groups (to appear), 2018, arXiv:1611.00305 [math.QA] (41 pages).
O BlondeauFournier, P Mathieu, D Ridout and S Wood. Superconformal Minimal Models and Admissible Jack Polynomials. Advances in Mathematics, 314:71123, 2017, arXiv:1606.04187 [hepth].
O BlondeauFournier, P Mathieu, D Ridout and S Wood. The SuperVirasoro Singular Vectors and Jack Superpolynomials Relationship Revisited. Nuclear Physics, B913:3463, 2016, arXiv:1605.08621 [mathph].
J Belletête, D Ridout and Y SaintAubin. Restriction and Induction of Indecomposable Modules over the TemperleyLieb Algebras. Journal of Physics, A51:045201, 2018, arXiv:1605.05159 [mathph] (55 pages).
M Canagasabey and D Ridout. Fusion Rules for the Logarithmic N=1 Superconformal Minimal Models II: including the Ramond Sector. Nuclear Physics, B905:132187, 2016, arXiv:1512.05837 [hepth].
M Canagasabey, J Rasmussen and D Ridout. Fusion Rules for the Logarithmic N=1 Superconformal Minimal Models I: the NeveuSchwarz Sector. Journal of Physics, A48:415402, 2015, arXiv:1504.03155 [hepth] (49 pages).
A MorinDuchesne, J Rasmussen and D Ridout. Boundary Algebras and Kac Modules for Logarithmic Minimal Models. Nuclear Physics, B899:677769, 2015, arXiv:1503.07584 [hepth].
D Ridout and S Wood. Relaxed Singular Vectors, Jack Symmetric Functions and Fractional Level sl(2) Models. Nuclear Physics, B894:621664, 2015, arXiv:1501.07318 [hepth].
D Ridout and S Wood. From Jack Polynomials to Minimal Model Spectra. Journal of Physics, A48:045201, 2015, arXiv:1409.4847 [hepth] (17 pages).
D Ridout and S Wood. The Verlinde Formula in Logarithmic CFT. Journal of Physics: Conference Series, 597:012065, 2015, arXiv:1409.0670 [hepth] (11 pages).
D Ridout and S Wood. Bosonic Ghosts at c=2 as a Logarithmic CFT. Letters in Mathematical Physics, 105:279307, 2015, arXiv:1408.4185 [hepth].
D Ridout and S Wood. Modular Transformations and Verlinde Formulae for Logarithmic (p_+,p_)Models. Nuclear Physics, B880:175202, 2014, arXiv:1310.6479 [hepth].
T Creutzig and D Ridout. Modular Data and Verlinde Formulae for Fractional Level WZW Models II. Nuclear Physics, B875:423458, 2013, arXiv:1306.4388 [hepth].
T Creutzig, D Ridout and S Wood. Coset Constructions of Logarithmic (1,p)Models. Letters in Mathematical Physics, 104:553583, 2014, arXiv:1305.2665 [math.QA].
T Creutzig and D Ridout. Logarithmic Conformal Field Theory: Beyond an Introduction. Journal of Physics, A46:494006, 2013, arXiv:1303.0847 [hepth] (72 pages).
A Babichenko and D Ridout. Takiff Superalgebras and Conformal Field Theory. Journal of Physics, A46:125204, 2013, arXiv:1210.7094 [mathph] (26 pages).
T Creutzig and D Ridout. Modular Data and Verlinde Formulae for Fractional Level WZW Models I. Nuclear Physics, B865:83114, 2012, arXiv:1205.6513 [hepth].
D Ridout and Y SaintAubin. Standard Modules, Induction and the TemperleyLieb Algebra. Advances in Theoretical and Mathematical Physics, 18:9571041, 2014, arXiv:1204.4505 [mathph].
D Ridout. NonChiral Logarithmic Couplings for the Virasoro Algebra. Journal of Physics, A45:255203, 2012, arXiv:1203.3247 [hepth] (12 pages).
T Creutzig and D Ridout. WAlgebras Extending gl(11). Springer Proceedings in Mathematics and Statistics, 36:349368, 2013, arXiv:1111.5049 [hepth].
T Creutzig and D Ridout. Relating the Archetypes of Logarithmic Conformal Field Theory. Nuclear Physics, B872:348391, 2013, arXiv:1107.2135 [hepth].
D Ridout and J Teschner. Integrability of a Family of Quantum Field Theories Related to Sigma Models. Nuclear Physics, B853:327378, 2011, arXiv:1102.5716 [hepth].
D Ridout. Fusion in Fractional Level sl(2)Theories with k=1/2. Nuclear Physics, B848:216250, 2011, arXiv:1012.2905 [hepth].
D Ridout. sl(2)_{1/2} and the Triplet Model. Nuclear Physics, B835:314342, 2010, arXiv:1001.3960 [hepth].
K Kytölä and D Ridout. On Staggered Indecomposable Virasoro Modules. Journal of Mathematical Physics, 50:123503, 2009, arXiv:0905.0108 [mathph] (51 pages).
D Ridout. sl(2)_{1/2}: A Case Study. Nuclear Physics, B814:485521, 2009, arXiv:0810.3532 [hepth].
D Ridout. On the Percolation BCFT and the Crossing Probability of Watts. Nuclear Physics, B810:503526, 2009, arXiv:0808.3530 [hepth].
P Mathieu and D Ridout. Logarithmic M(2,p) Minimal Models, their Logarithmic Couplings, and Duality. Nuclear Physics, B801:268295, 2008, arXiv:0711.3541 [hepth].
P Mathieu and D Ridout. From Percolation to Logarithmic Conformal Field Theory. Physics Letters, B657:120129, 2007, arXiv:0708.0802 [hepth].
P Mathieu and D Ridout. The Extended Algebra of the Minimal Models. Nuclear Physics, B776:365404, 2007, arXiv:hepth/0701250 .
P Mathieu and D Ridout. The Extended Algebra of the SU(2) WessZuminoWitten Models. Nuclear Physics, B765:201239, 2007, arXiv:hepth/0609226 .
P Bouwknegt and D Ridout. Presentations of WessZuminoWitten Fusion Rings. Reviews in Mathematical Physics, 18:201232, 2006, arXiv:hepth/0602057 .
P Bouwknegt and D Ridout. A Note on the Equality of Algebraic and Geometric DBrane Charges in WZW Models. Journal of High Energy Physics, 05(2004)029, arXiv:hepth/0312259 (13 pages).
P Bouwknegt, P Dawson, and D Ridout. DBranes on Group Manifolds and Fusion Rings. Journal of High Energy Physics, 12(2002)065, arXiv:hepth/0210302 (22 pages).
D Ridout and K Judd. Convergence Properties of Gradient Descent Noise Reduction. Physica, D165:2647, 2002.
P Bouwknegt, L Chim, and D Ridout. Exclusion Statistics in Conformal Field Theory and the UCPF for WZW models. Nuclear Physics, B572:547573, 2000, arXiv:hepth/9903176.
A higherrank fractionallevel WessZuminoWitten model, ANZAMP Congress, Merimbula, 6/2/2019.
Modularity beyond rationality, Subfactors in Sydney, UNSW, 4/2/2019.
An introduction to logarithmic conformal field theory, International Congress on Mathematical Physics, Montreal, 24/7/2018.
sl_{3} weight modules and higherrank logarithmic CFT, ANZAMP Congress, Auckland, 31/1/2018.
The standard module formalism: modularity and logarithmic CFT, Integrability in LowDimensional Systems, MATRIX Creswick, 29/6/2017.
A (gentle) introduction to logarithmic conformal field theory, Integrability in LowDimensional Systems, MATRIX Creswick, 27/6/2017.
Boundary algebras and scaling limits for logarithmic minimal models, School of Mathematics and Statistics, University of Melbourne, 24/10/2016.
Nonrational CFTs and the Verlinde formula, AustMS Meeting, Flinders University, 30/9/2015.
NonC_{2}cofinite VOAs and the Verlinde formula, Lie Algebras, Vertex Operator Algebras and Related Topics, University of Notre Dame, 16/8/2015.
Classifying Representations for Conformal Field Theory, School of Mathematics and Statistics, University of Melbourne, 6/8/2015.
Beyond Rational Conformal Field Theory, School of Mathematics and Statistics, University of Melbourne, 18/6/2015.
Modular Transformations, Representation Theory and Physics, Department of Mathematics Colloquium, University of New South Wales, 19/5/2015.
TwoDimensional Superconformal Algebras, Institute for Geometry and its Applications, University of Adelaide, 17/4/2015.
Symmetric Jack Polynomials and Fractional Level WZW Models, ANZMP8 Meeting, Melbourne, 10/12/2014.
Parabolic Verma Modules, Bosonic Ghost Systems and Logarithmic CFT, 30th International Colloquium on Group Theoretical Methods in Physics, Ghent, 15/7/2014.
Module Categories for Affine VOAs at Admissible Level, Erwin Schrödinger Institute, Vienna, 17/3/2014.
Modular Properties of NonRational Conformal Field Theory, ANZAMP Congress, Mooloolaba, 27/11/2013.
NonNegative Integer Verlinde Coefficients for Fractional Level WZW Models, AustMS Meeting, University of Sydney, 3/10/2013.
The WessZuminoWitten Model on SL(2;R), Pacific Rim Mathematical Association Congress, Shanghai, 25/6/2013.
Fractional Level WessZuminoWitten Models, Modular Transformations and Verlinde Formulae, Hausdorff Institute for Mathematics, Bonn, 10/12/2012.
Modular Properties of Fractional Level WZW Models, ANZAMP Congress, Lorne, 4/12/2012.
WessZuminoWitten Models on Lie Supergroups, Institute for Geometry and its Applications, University of Adelaide, 17/10/2012.
Conformal Field Theory and the Modular Group, Department of Mathematics Colloquium, University of Queensland, 17/9/2012.
What's New in Critical Lattice Phenomena?, Research School of Physics and Engineering, Australian National University, 1/12/2011.
Lattice Discretisations of Integrable Sigma Models, Mathematical Sciences Institute, Australian National University, 9/11/2011.
Affine sl(2) at k=1/2, beta gamma Ghosts and Logarithmic CFT, Institut Henri Poincaré, Paris, 3/10/2011.
Lattice Discretisations of Integrable Sigma Models, Istituto Nazionale di Fisica Nucleare, Bologna, 15/9/2011.
Indecomposable Modules for the Virasoro Algebra, University of Melbourne, 2/5/2011.
A (Gentle) Introduction to Lie Superalgebras, La Trobe University, 29/4/2011.
DBrane Charges in WessZuminoWitten Models, University of Adelaide, 18/10/2010.
Anything You Can Do..., Founder's Day Talk, Australian National University, 15/10/2010.
Indecomposable Representations in Physics, AustMS Meeting, University of Queensland, Brisbane, 29/9/2010.
Whither Indecomposability?, Lethbridge University, Alberta, 25/8/2010.
Fractional Level WZW Models as Logarithmic CFTs, University of North Carolina at Chapel Hill, 25/2/2010.
Indecomposable Modules for the Virasoro Algebra, Centre de Recherche Mathématiques, Montréal, 15/9/2009.
Quantum Symmetries and Integrable Sigma Models, Albert Einstein Institute, Potsdam, 1/7/2009.
Quantum Symmetries and Lattice Regularisations, DESY, Hamburg, 3/6/2009.
D Ridout. DBrane Charge Groups and Fusion Rings in WessZuminoWitten Models. Doctoral Thesis, University of Adelaide, 2005. [Adelaide Library link]
D Ridout. Convergence Properties of Noise Reduction by Gradient Descent. Masters Thesis, University of Western Australia, 2001.
D Ridout. Applications of Functional Analysis in Quantum Scattering Theory. Honours Thesis, Murdoch University, 1998.
Zachary Fehily. , UMelb, 2018  .
William Stewart. , UMelb, 2018  .
Christopher Raymond. , UQ, 2016  .
Tianshu Liu. Coset construction for the N=2 and osp(12) minimal models, UMelb, 2015  2019.
Steve Siu. , UMelb, 2014  .
Michael Canagasabey. Fusion rules in logarithmic superconformal minimal models, ANU, 2012  2016.
John Snadden. An admissible level osp(12)model, ANU, 2014  2016.
Daniel Tan. , UMelb, 2019  2020.
Tyson Field. WessZuminoWitten Models and the KnizhnikZamolodchikov Equations, UMelb, 2017  2018.
William Stewart. On the twisted sector of WessZuminoWitten models, UMelb, 2016  2017.
Matthew Geleta (Physics). The Coulomb Gas, ANU, 2015.
Tianshu Liu (Physics). The BosonFermion Correspondence, ANU, 2014.
Hiroyuki Nagamine (Physics). An Introduction to String Theory, ANU, 2012  2013.
Steven Xu (Mathematics). UMelb, Jan. 2019  Feb. 2019.
Lukas Anagnostou (Mathematics). UMelb, Jan. 2018  Feb. 2018.
Daniel Tan (Mathematics). UMelb, Jan. 2018  Feb. 2018.
Madeleine Johnson (Mathematics). UMelb, Jan. 2017  Feb. 2017.
Lawrence Dam (Physics). ANU, Dec. 2014  Jan. 2015.
Scott Melville (Physics). ANU, Dec. 2014  Jan. 2015.
Thao Le (Mathematics). ANU, Dec. 2014  Jan. 2015.
Hadleigh Frost (Physics). ANU, Dec. 2013  Jan. 2014.
James Bonifacio (Mathematics). ANU, Dec. 2011  Jan. 2012.
James Fletcher (Mathematics). ANU, Dec. 2011  Jan. 2012.
Elisabeth Kava (Mathematics). ANU, Dec. 2011  Jan. 2012.
Steven Sammut (Physics). ANU, Dec. 2010  Jan. 2011.
Yu Zheng (Mathematics). Introduction to String Theory, ANU, Autumn Term, 2015.
Maxim Jeffs (Mathematics). Lie Algebras and their Representation Theory, ANU, Semester 1, 2015.
Tianshu Liu (Physics). Introduction to String Theory, ANU, Semester 2, 2013.
Clement Schlegel (Mathematics). An Introduction to Lie Theory, ANU, Semester 2, 2013.
Saptarshi Das (Mathematics). Lie Algebras and Applications in Physics, ANU, Semester 2, 2012.
Hao He (Physics). Introduction to String Theory, ANU, Semester 2, 2012.
Sebastian Mueller (Mathematics). Introduction to Lie Algebras, ANU, Semester 1, 2012.
Alan Yin (Mathematics). Introduction to Lie Algebras, ANU, Semester 1, 2012.
Sarama Tonetto (Physics). Introduction to String Theory, ANU, Semester 2, 2011.
Yu Zheng (Mathematics). ANU, 2014  .
Hannah Smith (Physics). ANU, 2011  2013.
Daniel ComberTodd (Physics). ANU, 2011  2014.
I'm an Australian, a sandgroper from Perth. You can tell this by my impeccable spelling. I graduated from Rossmoyne Senior High School before starting a BSc at Murdoch University. A few years later, I found myself burdened with a double degree in mathematics and physics (and 3/4 of a degree in chemistry). Embracing the financial poverty that was now my destiny, I completed an honours degree in operator theory and threebody quantum scattering. I then moved on to the University of Western Australia (who will no doubt complain that I haven't capitalised the "T" in "the") where I occupied myself with a masters degree in the theory of topological chaotic dynamics and its application to noise reduction algorithms.
I then moved to Adelaide to start a PhD at the University of Adelaide. There, I was introduced to the wonderful world of conformal field theory and tried in vain to pick up the rudiments of string theory. With a little Lie theory, algebraic topology, differential geometry, and commutative algebra, I wrote a thesis on Dbrane charges and fusion rings in WessZuminoWitten models. The last two years of my doctoral studies were completed as a guest of the maths department at La Trobe University in Melbourne; without their generosity, things would have been rather difficult.
I then moved to Québec as a postdoc with Pierre Mathieu. There, I worked on extending the chiral algebras of various conformal field theories and made some forays into the world of logarithmic conformal field theory. I also managed to find time to try a bit of skiing and skating, though the intricate art of curling remained elusive. As did a solid grasp of the french language, or at least the local dialect.
Then, I moved to the DESY Theory Group in Hamburg with Jörg Teschner. There, I continued my romping in logarithmic conformal fields and also branched out into the wider world of deformed conformal field theories, integrable models and quantum groups. I tried once again to learn some basic string theory, but it seems that my brain is set on rejecting all such knowledge transplants. Luckily, I had ample opportunity to sample the joys of living in continental Europe, with its myriad of confusing cultures and its myriad of confusing languages. I will miss the cheese most of all...
Well, I ended up back in Canada, this time in Montréal, with Yvan SaintAubin, doing mathematics once again. I also had the luck to get some lecturing in the McGill University maths department while I worked on my French. It certainly wasn't hard to recreate the joy of living in that beautiful country, while simultaneously working very hard on new and interesting problems. And getting fat on the ubiquitous (and cheap!) french patisseries! Plus, Montréal has lots of cheese, lovely lovely cheese (and I don't count that horrible poutine cheese either!).
As luck would have it, my time in Montréal was cut short by a nottoberefused grant application unexpectedly getting funded. I returned to Australia as an Australian Research Fellow at the Australian National University in Canberra. There, I got to wallow in the muddy waters of logarithmic conformal field theories and teach myself some vertex algebra theory for five whole years. Happy times, though I was horrified at how expensive Australia had become. Even the local cheeses exceeded expectations hugely (mmm, Small Cow Farm's Redella).
This saga has a happy ending. The clever sods in the School of Mathematics and Statistics at the University of Melbourne decided to take pity on me and give me a continuing position. This was a dangerous gambit given the University's close proximity to the cheesemongers of the Queen Vic Markets, but so far everyone seems to be happy. Especially me. All I need to do now is a bit of work (and not to think about property prices). Wish me luck! I promise to return the favour someday...