Modified elliptic gamma functions and 6d superconformal indices

Abstract

We construct a modified double elliptic gamma function which is well defined when one of the base parameters lies on the unit circle. A model consisting of 6d hypermultiplets coupled to a gauge field theory living on a 4d defect is proposed whose superconformal index uses the double elliptic gamma function and obeys W(E7)-group symmetry.

15 pp., v3: version to appear in Lett. Math. Phys

References in corpus (7)

• Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• M5-branes from gauge theories on the 5-sphere
• Essays on the theory of elliptic hypergeometric functions
• Superconformal indices for N=1 theories with multiple duals
• An E7 Surprise

Cited by in corpus (5)

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• The character of the supersymmetric Casimir energy
• Supersymmetric Casimir Energy and $\mathrm{SL}(3,\mathbb{Z})$ Transformations
• Supersymmetric zeta functions and determinants