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  Integrable lattice spin models from supersymmetric dualities

Gahramanov, I., & Jafarzade, S. (2018). Integrable lattice spin models from supersymmetric dualities. Physics of Particles and Nuclei Letters, 15(6), 650-667. doi:10.1134/S1547477118060079.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-BA83-A Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EBCF-D
Genre: Journal Article

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 Creators:
Gahramanov, Ilmar1, Author              
Jafarzade, Shahriyar, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: Mathematical Physics, math-ph, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP,Nonlinear Sciences, Exactly Solvable and Integrable Systems, nlin.SI,
 Abstract: Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mechanics such that the two-dimensional spin lattice is the quiver diagram, the partition function of the lattice model is the partition function of the gauge theory and the Yang-Baxter equation expresses the identity of partition functions for dual pairs. This correspondence is a powerful tool which enables us to generate new integrable models. The aim of the present paper is to give a short account on a progress in integrable lattice models which has been made due to the relationship with supersymmetric gauge theories.

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 Dates: 2017-12-272018
 Publication Status: Published in print
 Pages: 35 pages, preliminary version
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1712.09651
URI: http://arxiv.org/abs/1712.09651
DOI: 10.1134/S1547477118060079
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Title: Physics of Particles and Nuclei Letters
Source Genre: Journal
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Pages: - Volume / Issue: 15 (6) Sequence Number: - Start / End Page: 650 - 667 Identifier: -