Localization on AdS2 × S1

David, Justin R. ; Gava, Edi ; Gupta, Rajesh Kumar ; Narain, Kumar (2017) Localization on AdS2 × S1 Journal of High Energy Physics, 2017 (3). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP03(2017)050

Related URL: http://dx.doi.org/10.1007/JHEP03(2017)050


Conformal symmetry relates the metric on AdS2 × S1 to that of S 3. This implies that under a suitable choice of boundary conditions for fields on AdS 2 the partition function of conformal field theories on these spaces must agree which makes AdS2 × S1 a good testing ground to study localization on non-compact spaces. We study supersymmetry on AdS2 × S1 and determine the localizing Lagrangian for N = 2 supersymmetric Chern-Simons theory on AdS2 × S1. We evaluate the partition function of N = 2 supersymmetric Chern-Simons theory on AdS2 × S1 using localization, where the radius of S 1 is q times that of AdS2. With boundary conditions on AdS 2 × S 1 which ensure that all the physical fields are normalizable and lie in the space of square integrable wave functions in AdS2, the result for the partition function precisely agrees with that of the theory on the q-fold covering of S 3.

Item Type:Article
Source:Copyright of this article belongs to Springer Nature Switzerland AG.
Keywords:Chern-simons Theories; Conformal Field Theory; Supersymmetric Gauge Theory.
ID Code:117001
Deposited On:14 Apr 2021 08:22
Last Modified:14 Apr 2021 08:22

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