Quantum vortices, M2-branes and black holes

Abstract

We study the partition functions of BPS vortices and magnetic monopole operators, in gauge theories describing $N$ M2-branes. In particular, we explore two closely related methods to study the Cardy limit of the index on $S^2\times \mathbb{R}$. The first method uses the factorization of this index to vortex partition functions, while the second one uses a continuum approximation for the monopole charge sums. Monopole condensation confines most of the $N^2$ degrees of freedom except $N^{\frac{3}{2}}$ of them, even in the high temperature deconfined phase. The resulting large $N$ free energy statistically accounts for the Bekenstein-Hawking entropy of large BPS black holes in $Ad{S}_4\times S^7$. Our Cardy free energy also suggests a finite $N$ version of the $N^{\frac{3}{2}}$ degrees of freedom.

arXiv comment53 pages, 4 figures

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Cited by in corpus (15)

• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Gluing gravitational blocks for AdS black holes
• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• AdS black holes and finite N indices
• Universal 3d Cardy Block and Black Hole Entropy
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Superconformal index of low-rank gauge theories via the Bethe Ansatz
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Exact QFT duals of AdS black holes
• Logarithmic Corrections to the Entropy of Rotating Black Holes and Black Strings in AdS${}_5$
• Universal AdS black holes in theories with sixteen supercharges and their microstates
• Boundary Description of Microstates of the Two-Dimensional Black Hole
• The Yang-Mills duals of small AdS black holes
• The Giant Graviton Expansion
• Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT${}_2$ and Viscosity