Global Properties of Supersymmetric Theories and the Lens Space

Shlomo S. Razamat; Brian Willett

doi:10.1007/s00220-014-2111-0

Global Properties of Supersymmetric Theories and the Lens Space

Research output: Contribution to journal › Article › peer-review

Abstract

We compute the supersymmetric partition function on L(r,1)×S¹ , the lens space index, for 4d gauge theories related by supersymmetric dualities and involving non simply-connected groups. This computation is sensitive to the global properties of the underlying gauge group and to discrete theta angle parameters and thus distinguishes versions of dualities differing by such. We explicitly discuss N = 1 so(N_c) Seiberg dualities and N = 4 su(N_c) S-dualities.

Original language	English
Pages (from-to)	661-696
Number of pages	36
Journal	Communications in Mathematical Physics
Volume	334
Issue number	2
DOIs	https://doi.org/10.1007/s00220-014-2111-0
State	Published - Mar 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-014-2111-0

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abstract = "We compute the supersymmetric partition function on L(r,1)×S1 , the lens space index, for 4d gauge theories related by supersymmetric dualities and involving non simply-connected groups. This computation is sensitive to the global properties of the underlying gauge group and to discrete theta angle parameters and thus distinguishes versions of dualities differing by such. We explicitly discuss N = 1 so(Nc) Seiberg dualities and N = 4 su(Nc) S-dualities.",

author = "Razamat, {Shlomo S.} and Brian Willett",

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year = "2015",

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AB - We compute the supersymmetric partition function on L(r,1)×S1 , the lens space index, for 4d gauge theories related by supersymmetric dualities and involving non simply-connected groups. This computation is sensitive to the global properties of the underlying gauge group and to discrete theta angle parameters and thus distinguishes versions of dualities differing by such. We explicitly discuss N = 1 so(Nc) Seiberg dualities and N = 4 su(Nc) S-dualities.

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DO - 10.1007/s00220-014-2111-0

M3 - مقالة

SN - 0010-3616

VL - 334

SP - 661

EP - 696

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Global Properties of Supersymmetric Theories and the Lens Space

Abstract

All Science Journal Classification (ASJC) codes

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