Integrable structure in supersymmetric gauge theories with massive hypermultiplets

Ahn Changhyun; Nam Soonkeon

doi:10.1016/0370-2693(96)00996-3

Integrable structure in supersymmetric gauge theories with massive hypermultiplets

Ahn Changhyun
, Nam Soonkeon

Department of Physics

Kyung Hee University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We study the quantum moduli space of vacua of N = 2 supersymmetric SU (N_c) gauge theories coupled to N_f flavors of quarks in the fundamental representation. We identify the moduli space of the N_c = 3 and N_f = 2 massless case with the full spectral curve obtained from the Lax representation of the Goryachev-Chaplygin top. For the case with massive quarks, we present an integrable system where the corresponding hyperelliptic curve parametrizing the Laurent solution coincides with that of the moduli space of N_c = 3 with N_f = 0,1,2. We discuss possible generalizations of the integrable systems relevant to gauge theories with N_c ≠ 3 and general N_f.

Original language	English
Pages (from-to)	304-309
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	387
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(96)00996-3
State	Published - 17 Oct 1996

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title = "Integrable structure in supersymmetric gauge theories with massive hypermultiplets",

abstract = "We study the quantum moduli space of vacua of N = 2 supersymmetric SU (Nc) gauge theories coupled to Nf flavors of quarks in the fundamental representation. We identify the moduli space of the Nc = 3 and Nf = 2 massless case with the full spectral curve obtained from the Lax representation of the Goryachev-Chaplygin top. For the case with massive quarks, we present an integrable system where the corresponding hyperelliptic curve parametrizing the Laurent solution coincides with that of the moduli space of Nc = 3 with Nf = 0,1,2. We discuss possible generalizations of the integrable systems relevant to gauge theories with Nc ≠ 3 and general Nf.",

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AU - Changhyun, Ahn

AU - Soonkeon, Nam

PY - 1996/10/17

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N2 - We study the quantum moduli space of vacua of N = 2 supersymmetric SU (Nc) gauge theories coupled to Nf flavors of quarks in the fundamental representation. We identify the moduli space of the Nc = 3 and Nf = 2 massless case with the full spectral curve obtained from the Lax representation of the Goryachev-Chaplygin top. For the case with massive quarks, we present an integrable system where the corresponding hyperelliptic curve parametrizing the Laurent solution coincides with that of the moduli space of Nc = 3 with Nf = 0,1,2. We discuss possible generalizations of the integrable systems relevant to gauge theories with Nc ≠ 3 and general Nf.

AB - We study the quantum moduli space of vacua of N = 2 supersymmetric SU (Nc) gauge theories coupled to Nf flavors of quarks in the fundamental representation. We identify the moduli space of the Nc = 3 and Nf = 2 massless case with the full spectral curve obtained from the Lax representation of the Goryachev-Chaplygin top. For the case with massive quarks, we present an integrable system where the corresponding hyperelliptic curve parametrizing the Laurent solution coincides with that of the moduli space of Nc = 3 with Nf = 0,1,2. We discuss possible generalizations of the integrable systems relevant to gauge theories with Nc ≠ 3 and general Nf.

UR - https://www.scopus.com/pages/publications/13544264905

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2

ER -

Integrable structure in supersymmetric gauge theories with massive hypermultiplets

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