Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in AdS(5) x S-5

Forini, V. ORCID: 0000-0001-9726-1423, Tseytlin, A. A. & Vescovi, E. (2017). Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in AdS(5) x S-5. Journal of High Energy Physics, 2017, 3. doi: 10.1007/JHEP03(2017)003

Abstract

We revisit the computation of the 1-loop string correction to the “latitude” minimal surface in AdS 5 × S 5 representing 1/4 BPS Wilson loop in planar N=4 SYM theory previously addressed in arXiv:1512.00841 and arXiv:1601.04708. We resolve the problem of matching with the subleading term in the strong coupling expansion of the exact gauge theory result (derived previously from localization) using a different method to compute determinants of 2d string fluctuation operators. We apply perturbation theory in a small parameter (angle of the latitude) corresponding to an expansion near the AdS 2 minimal surface representing 1/2 BPS circular Wilson loop. This allows us to compute the corrections to the heat kernels and zeta-functions of the operators in terms of the known heat kernels on AdS 2. We apply the same method also to two other examples of Wilson loop surfaces: generalized cusp and k-wound circle.

Publication Type:	Article
Publisher Keywords:	AdS-CFT Correspondence, Superstrings and Heterotic Strings, Wilson’t Hooft and Polyakov loops
Departments:	School of Science & Technology > Mathematics