Hot Giant Loop Holography

Abstract

We argue that there is a phase transition in the expectation value of the Polyakov loop operator in the large N limit of the high temperature deconfined phase of N=4 Yang-Mills theory on a spatial S^3. It occurs for large completely symmetric representation of the SU(N) symmetry group. We speculate that this transition is reflected in the string theory dual as a critical behavior of the D3-brane duals of large representation loops.

4 pages, 1 figure, final section updated

References in corpus (10)

• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Wilson Loops as D3-Branes
• Higher rank Wilson loops from a matrix model
• Bubbling Geometries for Half BPS Wilson lines
• Wilson Loops in N=4 SYM and Fermion Droplets
• Multiply wound Polyakov loops at strong coupling
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Operator product expansion of higher rank Wilson loops from D-branes and matrix models
• Computing Wilson lines with dielectric branes

Cited by in corpus (7)

• Thermodynamics of the hot BIon
• Localization and AdS/CFT Correspondence
• Thermal string probes in AdS and finite temperature Wilson loops
• Wilson loops in unitary matrix models at finite $N$
• The Polyakov Loop of Anti-symmetric Representations as a Quantum Impurity Model
• Large $N$ expansion of Wilson loops in the Gross-Witten-Wadia matrix model
• Comments on k-Strings at Large N