Quantum integrable models, algebraic and thermodynamic Bethe ansatz. Representation theory of quantum groups and their applications in theoretical physics.
Main publications:
A. G. Bytsko, V. Schomerus, Vertex operators – from toy model to lattice algebras. Commun. Math. Phys. 191 (1998), 87–136.
A. G. Bytsko, Fermionic representations for characters of M(3,t), M(4,5), M(5,6) and M(6,7) minimal models and related Rogers-Ramanujan type and dilogarithm identities. J. Phys. A 32 (1999), 8045–8058.
A. G. Bytsko, A. Fring, Factorized combinations of Virasoro characters. Commun. Math. Phys. 209 (2000), 179–205.
A. Bytsko, J. Teschner, R-operator, co-product and Haar-measure for the modular double of U_q(sl(2,R)). Commun. Math. Phys. 240 (2003), 171–196.
A. G. Bytsko, O Uq(sl_2)-invariantnykh R-matritsakh dlya starshikh spinov. Algebra i analiz, 17 (2005), n. 3, 23–46.
A. G. Bytsko, J. Teschner, Quantization of models with non-compact quantum group symmetry: modular XXZ magnet and lattice sinh-Gordon model. J. Phys. A 39 (2006), 12927–12981.
