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4 papers · 2 filters
S-move matrix in the NS sector of super Liouville field theory
Elena Apresyan, Gor Sarkissian
In this paper we calculate matrix of modular transformations of the one-point toric conformal blocks in the Neveu-Schwarz sector of super Liouville field theory. For this pur…
On correlation functions of higher-spin currents in arbitrary dimensions
Melik Karapetyan, Ruben Manvelyan, Karapet Mkrtchyan
We revisit the problem of classification and explicit construction of the conformal three-point correlation functions of currents of arbitrary integer spin in arbitrary dimensions.…
Dunkl symplectic algebra in generalized Calogero models
Tigran Hakobyan
We study the properties of the symplectic sp(2N) algebra deformed using Dunkl operators, which describe the dynamical symmetry of the generalized N-particle quantum Calogero model.…
Two-fold refinement of non simply laced Chern-Simons theories
M. Y. Avetisyan, R. L. Mkrtchyan
Inspired by the two-parameter Macdonald-Cherednik deformation of the formulae for non simply laced simple Lie algebras, we propose a two-fold refinement of the partition function o…