theoretical physics, mathematical physics, quantum field theory, conformal field theory, representation theory, affine Lie algebras, Kac–Moody algebras, simple Lie algebras
Main publications:
VD Lyakhovsky, AA Nazarov, “Recursive algorithm and branching for nonmaximal embeddings”, Journal of Physics A: Mathematical and Theoretical, 44:7 (2011), 075205
VD Lyakhovsky, AA Nazarov, “Fan, splint and branching rules”, Zap. Nauchn. Sem. POMI, 398 (2012), 162–179
VD Lyakhovsky, AA Nazarov, “Recursive properties of branching and BGG resolution”, Theoretical and Mathematical Physics, 169:2 (2011), 1551–1560
AA Nazarov, “Affine. m-Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras”, Computer Physics Communications, 183:11 (2012), 2480–2493
AA Nazarov, “Schramm–Loewner evolution martingales in coset conformal field theory”, JETP letters, 96:2 (2012), 90–93
