Elliptic Hypergeometry of Supersymmetric Dualities View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-06

AUTHORS

V. P. Spiridonov, G. S. Vartanov

ABSTRACT

We give a full list of known supersymmetric quantum field theories related by the Seiberg electric-magnetic duality conjectures for SU(N), SP(2N) and G2 gauge groups. Many of the presented dualities are new, not considered earlier in the literature. For all these theories we construct superconformal indices and express them in terms of elliptic hypergeometric integrals. This gives a systematic extension of the related Römelsberger and Dolan-Osborn results. Equality of indices in dual theories leads to various identities for elliptic hypergeometric integrals. About half of them were proven earlier, and another half represents new challenging conjectures. In particular, we conjecture a dozen new elliptic beta integrals on root systems extending the univariate elliptic beta integral discovered by the first author. More... »

PAGES

797-874

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  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00220-011-1218-9

    DOI

    http://dx.doi.org/10.1007/s00220-011-1218-9

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1038309539


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