Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions

V. P. Spiridonov; G. S. Vartanov

doi:10.1007/JHEP06(2012)016

Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions

High Energy Physics - Theory 2015-06-04 v2

Authors: V. P. Spiridonov , G. S. Vartanov

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Abstract

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

Keywords

moduli spaces supersymmetry

Cite

@article{arxiv.1203.5677,
  title  = {Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions},
  author = {V. P. Spiridonov and G. S. Vartanov},
  journal= {arXiv preprint arXiv:1203.5677},
  year   = {2015}
}

Comments

Latex, 18 pages, 1 eps figure. Version 2: a reference added, misprints corrected

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