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A new pentagon identity for the tetrahedron index

Ilmar Gahramanov ; Hjalmar Rosengren (Institutionen för matematiska vetenskaper, matematik)
Journal of High Energy Physics (1029-8479). 128, (2013)
[Artikel, refereegranskad vetenskaplig]

Recently Kashaev, Luo and Vartanov, using the reduction from a four-dimensional superconformal index to a three-dimensional partition function, found a pentagon identity for a special combination of hyperbolic Gamma functions. Following their idea we have obtained a new pentagon identity for a certain combination of so-called tetrahedron indices arising from the equality of superconformal indices of dual three-dimensional N=2 supersymmetric theories and give a mathematical proof of it.

Nyckelord: Supersymmetric gauge theory, Supersymmetry and Duality, Nonperturbative Effects


Pre-print freely available on ArXiv: http://arxiv.org/abs/1309.2195



Denna post skapades 2013-12-12. Senast ändrad 2014-09-29.
CPL Pubid: 188992

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik
Fysik

Chalmers infrastruktur