{ "id": "1203.5677", "version": "v2", "published": "2012-03-26T14:22:48.000Z", "updated": "2012-03-30T15:11:06.000Z", "title": "Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions", "authors": [ "V. P. Spiridonov", "G. S. Vartanov" ], "comment": "Latex, 18 pages, 1 eps figure. Version 2: a reference added, misprints corrected", "journal": "J. High Energy Phys. 06 (2012) 016", "categories": [ "hep-th" ], "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.", "revisions": [ { "version": "v2", "updated": "2012-03-30T15:11:06.000Z" } ], "analyses": { "keywords": [ "hooft anomaly matching conditions", "elliptic hypergeometric integrals", "4d supersymmetric field theories", "seiberg dual theories", "modular transformation properties" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Journal of High Energy Physics", "doi": "10.1007/JHEP06(2012)016", "year": 2012, "month": "Jun", "volume": 2012, "pages": 16 }, "note": { "typesetting": "LaTeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1094907, "adsabs": "2012JHEP...06..016S" } } }