theoretical physics,
mathematical physics,
quantum field theory,
conformal field theory,
representation theory,
affine Lie algebras,
Kac–Moody algebras,
simple Lie algebras.
UDC:
517.9
Subject:
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
A. Nazarov, P. Nikitin, D. Sarafannikov, “Skew Howe duality and $q$-Krawtchouk polynomial ensemble”, Zap. Nauchn. Sem. POMI, 517 (2022), 106–124
2021
2.
A.A. Nazarov, P. P. Nikitin, O. V. Postnova, “Statistics of irreducible components in large tensor powers of the spinor representation for $\mathfrak{so}_{2n+1}$ as $n\to\infty$”, Zap. Nauchn. Sem. POMI, 507 (2021), 99–113
2020
3.
A.A. Nazarov, S. A. Paston, “Finite-size correction to the scaling of free energy in the dimer model on a hexagonal domain”, TMF, 205:2 (2020), 262–283; Theoret. and Math. Phys., 205:2 (2020), 1473–1491
A.A. Nazarov, V. L. Chizhikova, “Probability measure near the boundary of tensor power decomposition for $\mathfrak{so}_{2n+1}$”, Zap. Nauchn. Sem. POMI, 494 (2020), 219–227
2018
5.
A. A. Nazarov, O. V. Postnova, “The limit shape of a probability measure on a tensor product of modules of the $B_n$ algebra”, Zap. Nauchn. Sem. POMI, 468 (2018), 82–97; J. Math. Sci. (N. Y.), 240:5 (2019), 556–566
V. D. Lyakhovsky, A.A. Nazarov, P. I. Kakin, “Splints of root systems for special Lie subalgebras”, TMF, 185:1 (2015), 127–138; Theoret. and Math. Phys., 185:1 (2015), 1471–1480
A. A. Nazarov, “SLE martingales in coset conformal field theory”, Pis'ma v Zh. Èksper. Teoret. Fiz., 96:2 (2012), 93–96; JETP Letters, 96:2 (2012), 90–93
V. D. Lyakhovsky, A. A. Nazarov, “Fan, splint, and branching rules”, Zap. Nauchn. Sem. POMI, 398 (2012), 162–178; J. Math. Sci. (N. Y.), 192:1 (2013), 91–100
V. D. Lyakhovsky, A. A. Nazarov, “Recursive properties of branching and BGG resolution”, TMF, 169:2 (2011), 218–228; Theoret. and Math. Phys., 169:2 (2011), 1551–1560
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