BPS Wilson Loops on S**2 at Higher Loops
Apr, 200839 pages
Published in:
- JHEP 05 (2008) 077
e-Print:
- 0804.4098 [hep-th]
Report number:
- HU-EP-08-13
View in:
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Abstract: (arXiv)
We consider supersymmetric Wilson loops of the variety constructed by Drukker, Giombi, Ricci, and Trancanelli, whose spatial contours lie on a two-sphere. Working to second order in the 't Hooft coupling in planar N=4 Supersymmetric Yang-Mills Theory (SYM), we compute the vacuum expectation value of a wavy-latitude and of a loop composed of two longitudes. We evaluate the resulting integrals numerically and find that the results are consistent with the zero-instanton sector calculation of Wilson loops in 2-d Yang-Mills on S^2 performed by Bassetto and Griguolo. We also consider the connected correlator of two distinct latitudes to third order in the 't Hooft coupling in planar N=4 SYM. We compare the result in the limit where the latitudes become coincident to a perturbative calculation in 2-d Yang-Mills on S^2 using a light-cone Wu-Mandelstam-Leibbrandt prescription. We are not able to calculate the SYM result at the required order in the separation between the latitudes necessary for a match with 2-d Yang-Mills; the result, however, does not preclude such a match.Note:
- 39 pages, 15 figures. v2 references added, minor cosmetic changes. v3 minor error in eq. (40) corrected. v4 error in coincident limit of correlator corrected; claims of disagreement with 2-d Yang-Mills retracted
- Wilson loop: supersymmetry
- Wilson loop: BPS
- supersymmetry: 4
- space: sphere
- dimension: 2
- gauge field theory: Yang-Mills: supersymmetry
- field theory: planar
- correlation function
- light cone
- numerical calculations
References(38)
Figures(31)