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A new pentagon identity for the tetrahedron index

Ilmar Gahramanov
(
- Humboldt U., Berlin and
- Inst. Rad. Problems, Baku
)
,
Hjalmar Rosengren
(
- Goteborg, ITP and
- Chalmers U. Tech.
)

Sep 9, 2013

12 pages

Published in:

JHEP 11 (2013) 128

Published: 2013

e-Print:

1309.2195 [hep-th]

DOI:

10.1007/JHEP11(2013)128

Report number:

HU-EP-13-44

View in:

ADS Abstract Service

reference search28 citations

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Abstract: (arXiv)

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.

Note:

13 pages, v2: we added a new section with the proof of the identity, misprints corrected

Supersymmetric gauge theory
Supersymmetry and Duality
Nonperturbative Effects
dimension: 3
supersymmetry: 2
dimension: 4
conformal
partition function
duality

References(56)

Figures(0)

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