Search Results - "Spiridonov, V. P."
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1
The star-triangle relation and 3d superconformal indices
Published in The journal of high energy physics (01-08-2015)“…A bstract Superconformal indices of 3 d N = 2 supersymmetric field theories are investigated from the Yang-Baxter equation point of view. Solutions of the…”
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Superconformal indices of three-dimensional theories related by mirror symmetry
Published in The journal of high energy physics (01-06-2011)“…Recently, Kim, and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove…”
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3
Vanishing superconformal indices and the chiral symmetry breaking
Published in The journal of high energy physics (01-06-2014)“…A bstract Superconformal indices of 4 d = 1 SYM theories with SU( N ) and SP(2 N ) gauge groups are investigated for N f = N and N f = N + 1 flavors,…”
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4
Superpositions of coherent states determined by Gauss sums
Published in Theoretical and mathematical physics (01-09-2022)“…We describe a family of quantum states of the Schrödinger cat type as superpositions of the harmonic oscillator coherent states with coefficients defined by…”
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Elliptic Hypergeometry of Supersymmetric Dualities II. Orthogonal Groups, Knots, and Vortices
Published in Communications in mathematical physics (01-01-2014)“…We consider Seiberg electric-magnetic dualities for 4 d N = 1 SYM theories with SO ( N ) gauge group. For all such known theories we construct superconformal…”
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6
From 4d superconformal indices to 3d partition functions
Published in Physics letters. B (13-10-2011)“…An exact formula for partition functions in 3d field theories was recently suggested by Jafferis, and Hama, Hosomichi, and Lee. These functions are expressed…”
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7
Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions
Published in The journal of high energy physics (01-06-2012)“…A bstract Elliptic hypergeometric integrals describe superconformal indices of 4 d supersymmetric field theories. We show that all ’t Hooft anomaly matching…”
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8
Elliptic and Complex Hypergeometric Integrals in Quantum Field Theory
Published in Physics of particles and nuclei letters (01-06-2023)“…We consider relations between elliptic hypergeometric integrals and complex hypergeometric functions. Taking exactly computable type I elliptic beta integrals,…”
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9
The 6j-Symbols for the SL(2, ℂ) Group
Published in Theoretical and mathematical physics (2019)“…We study 6 j-symbols or Racah coefficients for the tensor products of infinite-dimensional unitary principal series representations of the group SL(2, ℂ)…”
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10
Rational Hypergeometric Identities
Published in Functional analysis and its applications (01-07-2021)“…A special singular limit is considered for the Faddeev modular quantum dilogarithm (hyperbolic gamma function) and the corresponding hyperbolic integrals. It…”
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11
Elliptic hypergeometric function and -symbols for the group
Published in Theoretical and mathematical physics (2022)“…We show that the complex hypergeometric function describing -symbols for the group is a special degeneration of the -function—an elliptic analogue of the…”
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12
An elliptic incarnation of the Bailey chain
Published in International Mathematics Research Notices (2002)“…For the first time a Bailey chain with all entries composed out of the Jacobi theta functions is constructed. This is an elliptic extension of the WP…”
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13
Supersymmetric dualities beyond the conformal window
Published in Physical review letters (06-08-2010)“…Using the superconformal (SC) indices techniques, we construct Seiberg type dualities for N=1 supersymmetric field theories outside the conformal windows…”
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14
Short proofs of the elliptic beta integrals
Published in The Ramanujan journal (01-06-2007)Get full text
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15
Elliptic Selberg integrals
Published in International Mathematics Research Notices (2001)“…We introduce new Selberg-type multidimensional integrals built of Ruijsenaars' elliptic gamma functions. We show that the vanishing of our integrals for a…”
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Viacheslav Borisovich Priezzhev (6 September 1944–31 December 2017)
Published in Theoretical and mathematical physics (01-03-2018)Get full text
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17
Elliptic hypergeometric functions and Calogero-Sutherland-type models
Published in Theoretical and mathematical physics (01-02-2007)“…We consider an elliptic analogue of the Gauss hypergeometric function and two of its multivariate generalizations. We describe their relation to elliptic beta…”
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18
Complex and rational hypergeometric functions on root systems
Published 07-07-2024“…J. Geom. Phys. 203 (2024) 105274 We consider some new limits for the elliptic hypergeometric integrals on root systems. After the degeneration of elliptic beta…”
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19
Introduction to the theory of elliptic hypergeometric integrals
Published 04-09-2020“…"Partition Functions and Automorphic Forms'', Lecture Notes of the Dubna Winter School (Eds. V.A. Gritsenko, V.P. Spiridonov), Moscow Lectures, vol. 5…”
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Self-similar potentials in quantum mechanics and coherent states
Published 04-09-2020“…Physics of Particles and Nuclei, 52, no. 2 (2021) 274-289 A brief description of the relations between the factorization method in quantum mechanics,…”
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