Heat kernels on cone of $AdS_2$ and $k$-wound circular Wilson loop in $AdS_5 \times S^5$ superstring - INSPIRE

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Heat kernels on cone of $AdS_2$ and $k$ -wound circular Wilson loop in $AdS_5 \times S^5$ superstring

R. Bergamin
(
- Padua U. and
- Padua U., Astron. Dept.
)
,
A.A. Tseytlin
(
- Imperial Coll., London
)

Oct 23, 2015

17 pages

Published in:

J.Phys.A 49 (2016) 14, 14LT01

Published: Feb 23, 2016

e-Print:

1510.06894 [hep-th]

DOI:

10.1088/1751-8113/49/14/14LT01

Report number:

IMPERIAL-TP-AT-2015-07

View in:

reference search22 citations

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Abstract: (IOP)

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 AdS(2) 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.

Note:

16 pages

heat kernels
AdS/CFT
Wilson loops
fluctuation: operator
surface: minimal
anti-de Sitter
superstring
heat kernel
Wilson loop
partition function

References(33)

Figures(0)

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