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pro vyhledávání: '"M. Y. Avetisyan"'
Autor:
M. Y. Avetisyan, R. L. Mkrtchyan
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 11, Pp 1-21 (2022)
Abstract We present the partition function of the refined Chern-Simons theory on S 3 with arbitrary A, B, C, D gauge algebra in terms of multiple sine functions. For B and C cases this representation is novel. It allows us to conjecture duality to so
Externí odkaz:
https://doaj.org/article/81a5781c3e8b4036b0ceea4b0b894e41
Autor:
M. Y. Avetisyan, Ruben L. Mkrtchyan
Publikováno v:
Physics of Particles and Nuclei Letters. 17:784-788
We consider formulae for universal (in Vogel’s sense) quantum dimensions and their applications. Universal quantum dimensions of Cartan powers of $${{X}_{2}}$$ and adjoint representations at the points of special type singularities are shown to giv
Autor:
M. Y. Avetisyan, R. L. Mkrtchyan
In his study of finite (Vassiliev's) knot invariants,Vogel introduced the so-called universal parameters, belonging to the projective plane, which particularly parameterize the simple Lie algebras by the Vogel's table. Subsequently a number of quanti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f39c15264cf5129caebabaf9d8b4f9a
http://arxiv.org/abs/2101.08780
http://arxiv.org/abs/2101.08780
Autor:
M. Y. Avetisyan
Motivated by the universal knot polynomials in the gauge Chern-Simons theory, we show that the values of the second Casimir operator on an arbitrary power of Cartan product of $X_2$ and adjoint representations of simple Lie algebras can be represente
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90c9e6ba12c992ed4d8991d12678cd07
Autor:
M. Y. Avetisyan, Ruben L. Mkrtchyan
Publikováno v:
Journal of Mathematical Physics. 61:101701
We present a universal, in Vogel’s sense, expression for the quantum dimension of the Cartan product of arbitrary powers of the adjoint and X2 representations of simple Lie algebras. The same formula mysteriously yields quantum dimensions of some o
Autor:
M. Y. Avetisyan, Ruben L. Mkrtchyan
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 53:045202