Zeta-function Regularization of Holographic Wilson Loops

Abstract

Using $\zeta$-function regularization, we study the one-loop effective action of fundamental strings in $Ad{S}_5\times S^5$ dual to the latitude $\frac{1}{4}$-BPS Wilson loop in $\mathcal{N}=4$ Super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic $\frac{1}{2}$-BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order.

arXiv comment13 pages

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Cited by in corpus (8)

• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• Semiclassical $p$-branes in hyperbolic space
• Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
• Quantum corrections to minimal surfaces with mixed three-form flux
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• Vacuum configuration of winding superstrings from non-standard semiclassical quantization
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory