RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2024, Volume 532

| General information | Contents |


Questions of quantum field theory and statistical physics. Part 30


Reflection operator and hypergeometry I: $SL(2,\mathbb{R})$ spin chain
P. V. Antonenko, N. M. Belousov, S. È. Derkachov, S. M. Khoroshkin
5
Reflection operator and hypergeometry II: $SL(2,\mathbb{C})$ spin chain
P. V. Antonenko, N. M. Belousov, S. È. Derkachov, P. A. Valinevich
47
Random ordered lattice paths generated by operators satisfying the Cuntz algebra
N. M. Bogoliubov
80
Semi-infinite Heisenberg XX0 chain and random walks
N. M. Bogoliubov, C. L. Malyshev
91
Correlation functions of two $3$-dimensional transverse potentials with power singularities
T. A. Bolokhov
109
The Weyl groupoid and its action on the affine super-Yangian
V. D. Volkov, V. A. Stukopin
119
Local heat kernel
A. V. Ivanov
136
Applicability condition of a cutoff in two-dimensional models
A. V. Ivanov
153
Asymptotics of solutions of the degenerate third Painlevé equation in the neighbourhood of the regular singular point: the isomonodromy deformation approach
A. V. Kitaev, A. Vartanian
169
Root vectors in quantum groups
N. V. Kryazhevskikh, A. I. Mudrov
212
Gelfand–Tsetlin basis for irreducible representations of the infinite-dimensional general linear group
E. A. Movchan
235
Quantum L-operator of the critical Ising model
A. G. Pronko, S. K. Syrygina
257
Three-loop renormalization with a cutoff in a sextic model
N. V. Kharuk
273


© Steklov Math. Inst. of RAS, 2025