Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions-Reference-Cited by-同舟云学术

Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions

Published:2012-06 Issue:6 Volume:2012 Page:
ISSN:1029-8479
Container-title:Journal of High Energy Physics
language:en
Short-container-title:J. High Energ. Phys.

Author:

Spiridonov V. P.,Vartanov G. S.

Abstract

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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Link

https://link.springer.com/content/pdf/10.1007/JHEP06(2012)016.pdf

Reference39 articles.

1. F. Dolan and H. Osborn, Applications of the superconformal index for protected operators and q-hypergeometric identities to N = 1 dual theories, Nucl. Phys. B 818 (2009) 137 [arXiv:0801.4947] [INSPIRE].

2. J. Kinney, J.M. Maldacena, S. Minwalla and S. Raju, An index for 4 dimensional super conformal theories, Commun. Math. Phys. 275 (2007) 209 [hep-th/0510251] [INSPIRE].

3. C. Römelsberger, Counting chiral primaries in N = 1, D = 4 superconformal field theories, Nucl. Phys. B 747 (2006) 329 [hep-th/0510060] [INSPIRE].

4. C. Römelsberger, Calculating the superconformal index and Seiberg duality, arXiv:0707.3702 [INSPIRE].

5. V.P. Spiridonov, On the elliptic beta function, Russ. Math. Surv. 56 (2001) 185 [Usp. Mat. Nauk 56 (2001) 181].

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