The Partition Function of a Wilson Loop in a Strongly Coupled $\mathcal{N}=4$ Supersymmetric Yang-Mills Plasma with Fluctuations

Abstract

We examine the one-loop partition function describing the fluctuations of the superstring in a Schwarzschild-AdS${}_5\times S^5$ background. On the bosonic side, we demonstrate the one-loop equivalence of the Nambu-Goto action and the Polyakov action for a general worldsheet, while on the fermionic side, we consider the reduction of the ten-dimensional Green-Schwarz fermion action to a two-dimensional worldsheet action. We derive the partition functions of the worldsheets corresponding to both straight and parallel Wilson lines. We show that the UV divergences of the functional determinants in the thermal AdS background are canceled.

Typos fixed, in Revtex 32 pages, version to appear in Phys. Rev. D

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• Constraints on AdS/CFT Gravity Dual Models of Heavy Ion Collisions
• The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal{N}=4$ Super Yang-Mills Vacuum
• The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal{N}=4$ Super Yang-Mills Plasma
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• Quantum corrections to minimal surfaces with mixed three-form flux
• On quantum corrections to BPS Wilson loops in superstring theory on $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3\times {\mathbf{T}}^4$ with mixed flux