Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions

Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions

A bstract Elliptic hypergeometric integrals describe superconformal indices of 4 d supersymmetric field theories. We show that all ’t Hooft anomaly matching conditions for Seiberg dual theories can be derived from SL(3 , )-modular transformation properties of the kernels of dual indices.

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Veröffentlicht in:The journal of high energy physics 2012-06, Vol.2012 (6), Article 16
Hauptverfasser: Spiridonov, V. P., Vartanov, G. S.
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Integrals
Matching
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
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Zusammenfassung:A bstract Elliptic hypergeometric integrals describe superconformal indices of 4 d supersymmetric field theories. We show that all ’t Hooft anomaly matching conditions for Seiberg dual theories can be derived from SL(3 , )-modular transformation properties of the kernels of dual indices.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2012)016