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Integral pentagon relations for 3d superconformal indices

I. Gahramanov ; Hjalmar Rosengren (Institutionen för matematiska vetenskaper, matematik)
String-Math 2014 Vol. 93 (2016), p. 167-175.
[Konferensbidrag, refereegranskat]

The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals. By comparing the indices of dual theories, one can find new integral identities for basic hypergeometric integrals. Some of these integral identities have the form of the pentagon identity which can be interpreted as the 2-3 Pachner move for triangulated 3-manifolds.

Nyckelord: Basic hypergeometric function, q-hypergeometric function, pentagon identity, superconformal index, supersymmetric gauge-theories, elliptic hypergeometry, mirror symmetry, manifolds, 3-manifolds, dimensions, dualities, operators, n=1



Denna post skapades 2016-12-09.
CPL Pubid: 246031

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

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