Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center BL Feigin, AM Gainutdinov, AM Semikhatov, IY Tipunin
Communications in mathematical physics 265, 47-93, 2006
228 2006 Kazhdan-Lusztig correspondence for the representation category of the triplet W -algebra in logarithmic CFT AM Gainutdinov, AM Semikhatov, IY Tipunin, BL Feigin
Theoretical and mathematical physics 148, 1210-1235, 2006
174 2006 Kazhdan-Lusztig correspondence for the representation category of the triplet W-algebra in logarithmic CFT BL Feigin, AM Gainutdinov, AM Semikhatov, IY Tipunin
arXiv preprint math/0512621, 2005
174 * 2005 Logarithmic extensions of minimal models: characters and modular transformations BL Feigin, AM Gainutdinov, AM Semikhatov, IY Tipunin
Nuclear Physics B 757 (3), 303-343, 2006
168 2006 Kazhdan-Lusztig-dual quantum group for logarithmic extensions of Virasoro minimal models IYT B.L. Feigin, A.M. Gainutdinov, A.M. Semikhatov
Journal of Mathematical Physics 48, 032303, 2007
80 2007 Lattice fusion rules and logarithmic operator product expansions AM Gainutdinov, R Vasseur
Nuclear Physics B 868 (1), 223-270, 2013
67 2013 A quasi-Hopf algebra for the triplet vertex operator algebra T Creutzig, AM Gainutdinov, I Runkel
Communications in Contemporary Mathematics 22 (03), 1950024, 2020
57 2020 Radford, Drinfeld and Cardy boundary states in the (1, p) logarithmic conformal field models AM Gainutdinov, IY Tipunin
Journal of Physics A: Mathematical and Theoretical 42 (31), 315207, 2009
57 2009 Logarithmic conformal field theory: a lattice approach AM Gainutdinov, JL Jacobsen, N Read, H Saleur, R Vasseur
Journal of Physics A: Mathematical and Theoretical 46 (49), 494012, 2013
55 2013 Logarithmic conformal field theory A Gainutdinov, D Ridout, I Runkel
Journal of Physics A: Mathematical and Theoretical 46 (49), 490301, 2013
46 2013 Lusztig limit of quantum sℓ (2) at root of unity and fusion of (1, p) Virasoro logarithmic minimal models PV Bushlanov, BL Feigin, AM Gainutdinov, IY Tipunin
Nuclear Physics B 818 (3), 179-195, 2009
46 2009 Symplectic fermions and a quasi-Hopf algebra structure on U‾ isℓ (2) AM Gainutdinov, I Runkel
Journal of Algebra 476, 415-458, 2017
40 2017 A physical approach to the classification of indecomposable Virasoro representations from the blob algebra AM Gainutdinov, JL Jacobsen, H Saleur, R Vasseur
Nuclear Physics B 873 (3), 614-681, 2013
40 2013 Continuum limit and symmetries of the periodic gℓ (1| 1) spin chain AM Gainutdinov, N Read, H Saleur
Nuclear Physics B 871 (2), 245-288, 2013
39 2013 Puzzle of Bulk Conformal Field Theories at Central Charge R Vasseur, A Gainutdinov, JL Jacobsen, H Saleur
Physical Review Letters 108 (16), 161602, 2012
37 2012 3-dimensional TQFTs from non-semisimple modular categories M De Renzi, AM Gainutdinov, N Geer, B Patureau-Mirand, I Runkel
Selecta Mathematica 28 (2), 42, 2022
35 2022 Projective objects and the modified trace in factorisable finite tensor categories AM Gainutdinov, I Runkel
Compositio Mathematica 156 (4), 770-821, 2020
33 2020 Lattice W-algebras and logarithmic CFTs AM Gainutdinov, H Saleur, IY Tipunin
Journal of Physics A: Mathematical and Theoretical 47 (49), 495401, 2014
33 2014 Associative Algebraic Approach to Logarithmic CFT in the Bulk: The Continuum Limit of the Periodic Spin Chain, Howe Duality and the Interchiral Algebra AM Gainutdinov, N Read, H Saleur
Communications in mathematical physics 341, 35-103, 2016
32 2016 Kazhdan–Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models PV Bushlanov, AM Gainutdinov, IY Tipunin
Nuclear Physics B 862 (1), 232-269, 2012
32 2012