Heat kernels on cone of AdS2 and k-wound circular Wilson loop in AdS5 x S5 superstring
File(s)
Accepted version
Author(s)
Bergamin, R
Tseytlin, AA
Type
Journal Article
Abstract
We compute the one-loop world-sheet correction to partition function of ${\mathrm{AdS}}_{5}\times {{\rm{S}}}^{5}$ superstring that should be representing k-fundamental circular Wilson loop in planar limit. The 2d metric of the minimal surface ending on k-wound circle at the boundary is that of a cone of AdS2 with deficit $2\pi (1-k)$. We compute the determinants of 2d fluctuation operators by first constructing heat kernels of scalar and spinor Laplacians on the cone using the Sommerfeld formula. The final expression for the k-dependent part of the one-loop correction has simple integral representation but is different from earlier results.
Date Issued
2016-02-22
Date Acceptance
2015-12-10
Citation
Journal of Physics A - Mathematical and Theoretical, 2016, 49 (14)
ISSN
1751-8113
Publisher
IOP Publishing
Journal / Book Title
Journal of Physics A - Mathematical and Theoretical
Volume
49
Issue
14
Copyright Statement
© 2016 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at http://dx.doi.org/10.1088/1751-8113/49/14/14LT01.
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics, Mathematical
Physics
heat kernels
AdS/CFT
Wilson loops
YANG-MILLS THEORY
ENTANGLEMENT ENTROPY
HYPERBOLIC SPACES
Mathematical Physics
01 Mathematical Sciences
02 Physical Sciences
Publication Status
Published
Article Number
14LT01