Superconformal indices of three-dimensional theories related by mirror symmetry

Recently, Kim, and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group theories related by mirror symmetry. The proofs are based on wel...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2011; no. 6
Main Authors Krattenthaler, C., Spiridonov, V. P., Vartanov, G. S.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.06.2011
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Identities
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Symmetry
Supersymmetry and Duality
Supersymmetric gauge theory
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Summary:Recently, Kim, and Imamura and Yokoyama derived an exact formula for superconformal indices in three-dimensional field theories. Using their results, we prove analytically the equality of superconformal indices in some U(1)-gauge group theories related by mirror symmetry. The proofs are based on well-known identities in the theory of q -special functions. We also suggest a general index formula taking into account the U(1) J global symmetry present for abelian theories.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2011)008