Zobrazeno 1 - 10
of 98
pro vyhledávání: '"Vyacheslav P. Spiridonov"'
Autor:
Vyacheslav P. Spiridonov
Publikováno v:
Physics Letters B, Vol 856, Iss , Pp 138889- (2024)
One-dimensional quantum mechanical models obeying Smilga's weak supersymmetry are described in the matrix form. They are related to the parasupersymmetric and higher-order derivative deformations of the standard supersymmetric models discussed earlie
Externí odkaz:
https://doaj.org/article/8570b9d1e069441481e97b061b1fcdbb
Publikováno v:
Nuclear Physics B, Vol 990, Iss , Pp 116170- (2023)
We study properties of a parafermionic generalization of the hyperbolic hypergeometric function appearing as the most important part in the fusion matrix for Liouville field theory and the Racah-Wigner symbols for the Faddeev modular double. We show
Externí odkaz:
https://doaj.org/article/e168842a602344ab9c9aaa3f4c5344e0
Publikováno v:
Journal of High Energy Physics, Vol 2018, Iss 10, Pp 1-15 (2018)
Abstract We consider the rarefied elliptic beta integral in various limiting forms. In particular, we obtain an integral identity for parafermionic hyperbolic gamma functions which describes the star-triangle relation for parafermionic Liouville theo
Externí odkaz:
https://doaj.org/article/367b0f63e0674ffd8be3b1c070bbb512
Publikováno v:
Journal of High Energy Physics, Vol 2018, Iss 3, Pp 1-30 (2018)
Abstract We study the integral Bailey lemma associated with the An-root system and identities for elliptic hypergeometric integrals generated thereby. Interpreting integrals as superconformal indices of four-dimensional N $$ \mathcal{N} $$ = 1 quiver
Externí odkaz:
https://doaj.org/article/df6242eb2c334b368f505dfc3bdc7727
Publikováno v:
Journal of High Energy Physics, Vol 2017, Iss 7, Pp 1-21 (2017)
Abstract We provide a recipe to extract the supersymmetric Casimir energy of theories defined on primary Hopf surfaces directly from the superconformal index. It involves an S L 3 ℤ $$ \mathrm{S}\mathrm{L}\left(3,\mathrm{\mathbb{Z}}\right) $$ trans
Externí odkaz:
https://doaj.org/article/f227f16e7e744cd4a4b1689172d604f9
Publikováno v:
Physics Letters B, Vol 761, Iss C, Pp 261-264 (2016)
We show that applying the Bailey lemma to elliptic hypergeometric integrals on the An root system leads to a large web of dualities for N=1 supersymmetric linear quiver theories. The superconformal index of Seiberg's SQCD with SU(Nc) gauge group and
Externí odkaz:
https://doaj.org/article/d568c1652a3e45c49952af4a7f070a76
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 059 (2007)
We discuss a phase transition of the second order taking place in non-local 1D Ising chains generated by specific infinite soliton solutions of the KdV and BKP equations.
Externí odkaz:
https://doaj.org/article/c654734478944d5481874bd7aa2a6b4e
Publikováno v:
Функциональный анализ и его приложения. 55:91-97
Рассмотрен специальный сингулярный предел $\omega_1/\omega_2 \to 1$ для модулярного квантового дилогарифма Фаддеева (гиперболической гамма-функц
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca40bb92866fc24883a9d02802c34b3c
https://doi.org/10.4213/faa3866
https://doi.org/10.4213/faa3866
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 309:251-270
We consider a univariate beta integral composed from general modular quantum dilogarithm functions and prove its exact evaluation formula. It represents the partition function of a particular $3d$ supersymmetric field theory on the general squashed l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f3ae0e96b868edc9751d8cfd9eaed1a
https://doi.org/10.1134/s0081543820030190
https://doi.org/10.1134/s0081543820030190
Publikováno v:
Russian Mathematical Surveys. 75:575-577
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6586608776c14034ce71661dee7f0208
https://doi.org/10.1070/rm9951
https://doi.org/10.1070/rm9951