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
242 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
182 * 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
175 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
85 2007 A quasi-Hopf algebra for the triplet vertex operator algebra T Creutzig, AM Gainutdinov, I Runkel
Communications in Contemporary Mathematics 22 (03), 1950024, 2020
67 2020 Lattice fusion rules and logarithmic operator product expansions AM Gainutdinov, R Vasseur
Nuclear Physics B 868 (1), 223-270, 2013
67 2013 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
59 2013 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
58 2009 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
55 2022 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
47 2009 Logarithmic conformal field theory A Gainutdinov, D Ridout, I Runkel
Journal of Physics A: Mathematical and Theoretical 46 (49), 490301, 2013
46 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
42 2013 Symplectic fermions and a quasi-Hopf algebra structure on U‾ isℓ (2) AM Gainutdinov, I Runkel
Journal of Algebra 476, 415-458, 2017
41 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
41 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
39 2012 Modified trace is a symmetrised integral A Beliakova, C Blanchet, AM Gainutdinov
Selecta Mathematica 27 (3), 31, 2021
36 2021 Projective objects and the modified trace in factorisable finite tensor categories AM Gainutdinov, I Runkel
Compositio Mathematica 156 (4), 770-821, 2020
36 2020 Modularization of small quantum groups AM Gainutdinov, S Lentner, T Ohrmann
arXiv preprint arXiv:1809.02116, 2018
36 2018 Lattice W-algebras and logarithmic CFTs AM Gainutdinov, H Saleur, IY Tipunin
Journal of Physics A: Mathematical and Theoretical 47 (49), 495401, 2014
35 2014 Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity AM Gainutdinov, RI Nepomechie
Nuclear Physics B 909, 796-839, 2016
34 2016