2d duality for orthogonal gauge theories with 8 supersymmetries

Eran Avraham; Oren Bergman

doi:10.1007/JHEP06(2019)074

2d duality for orthogonal gauge theories with 8 supersymmetries

Eran Avraham, Oren Bergman

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

2 Scopus citations

Abstract

We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with N = (4, 4) supersymmetry, analogous to Hori’s dualities with N = (2, 2) supersymmetry. Here we provide a quantitative test of this conjecture by computing the elliptic genera of the dual pairs and showing that they agree. The elliptic genus of orthogonal gauge theories has multiple topological sectors that depend on the global structure of the group and on the value of a discrete θ parameter. We derive the dependence on the θ parameter by determining whether a given sector has (S)Pin structure or not.

Original language	English
Article number	74
Journal	Journal of High Energy Physics
Volume	2019
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2019)074
State	Published - 1 Jun 2019
Externally published	Yes

Keywords

Duality in Gauge Field Theories
Supersymmetric Gauge Theory
Supersymmetry and Duality

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP06(2019)074

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title = "2d duality for orthogonal gauge theories with 8 supersymmetries",

abstract = "We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with N = (4, 4) supersymmetry, analogous to Hori{\textquoteright}s dualities with N = (2, 2) supersymmetry. Here we provide a quantitative test of this conjecture by computing the elliptic genera of the dual pairs and showing that they agree. The elliptic genus of orthogonal gauge theories has multiple topological sectors that depend on the global structure of the group and on the value of a discrete θ parameter. We derive the dependence on the θ parameter by determining whether a given sector has (S)Pin structure or not.",

keywords = "Duality in Gauge Field Theories, Supersymmetric Gauge Theory, Supersymmetry and Duality",

author = "Eran Avraham and Oren Bergman",

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AU - Bergman, Oren

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N2 - We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with N = (4, 4) supersymmetry, analogous to Hori’s dualities with N = (2, 2) supersymmetry. Here we provide a quantitative test of this conjecture by computing the elliptic genera of the dual pairs and showing that they agree. The elliptic genus of orthogonal gauge theories has multiple topological sectors that depend on the global structure of the group and on the value of a discrete θ parameter. We derive the dependence on the θ parameter by determining whether a given sector has (S)Pin structure or not.

AB - We recently conjectured a set of dualities relating two-dimensional orthogonal gauge theories with N = (4, 4) supersymmetry, analogous to Hori’s dualities with N = (2, 2) supersymmetry. Here we provide a quantitative test of this conjecture by computing the elliptic genera of the dual pairs and showing that they agree. The elliptic genus of orthogonal gauge theories has multiple topological sectors that depend on the global structure of the group and on the value of a discrete θ parameter. We derive the dependence on the θ parameter by determining whether a given sector has (S)Pin structure or not.

KW - Duality in Gauge Field Theories

KW - Supersymmetric Gauge Theory

KW - Supersymmetry and Duality

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DO - 10.1007/JHEP06(2019)074

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VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 6

M1 - 74

ER -

2d duality for orthogonal gauge theories with 8 supersymmetries

Abstract

Keywords

ASJC Scopus subject areas

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