2D Seiberg-like dualities for orthogonal gauge groups

A bstract We consider the analogue of Seiberg duality for two-dimensional N = (2, 2) gauge theory with orthogonal gauge groups and with fundamental chiral multiplets proposed by Hori. Following Hori, when we consider O( k ) gauge group as the (semi)-direct product of SO( k ) ⋉ Z 2 , we have to consi...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2019; no. 10; pp. 1 - 72
Main Authors Kim, Hyungchul, Kim, Sungjoon, Park, Jaemo
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2019
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Duality in Gauge Field Theories
Elementary Particles
Field Theories in Lower imensions
Gauge theory
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetric Gauge Theory
Duality in Gauge Field Theories
Field Theories in Lower imensions
Supersymmetric Gauge Theory
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Summary:A bstract We consider the analogue of Seiberg duality for two-dimensional N = (2, 2) gauge theory with orthogonal gauge groups and with fundamental chiral multiplets proposed by Hori. Following Hori, when we consider O( k ) gauge group as the (semi)-direct product of SO( k ) ⋉ Z 2 , we have to consider two kinds of the theories O ± ( k ) depending on the orbifold action of Z 2 . We give the evidences for the proposed dualities by working out the elliptic genus of dual pair. The matching of the elliptic genus is worked out perfectly for the proposed dualities.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2019)079