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Quantum vortices, M2-branes and black holes

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arxiv 1908.02470 v1 pith:FGZE7C5W submitted 2019-08-07 hep-th

classification hep-th
keywords monopoleblackcardydegreesenergyfracfreefreedom
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $AdS_4\times S^7$. Our Cardy free energy also suggests a finite $N$ version of the $N^{\frac{3}{2}}$ degrees of freedom.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cardy limit of the 3d superconformal index

    hep-th 2025-09 conditional novelty 8.0 of 10

    In the Cardy limit the 3d superconformal index obeys Z ~ beta^{-#} on the first sheet and Z ~ e^{#/beta} on the second, with gauge-enhancing saddles screened for non-chiral theories.

  2. An Airy Tale at Large $N$

    hep-th 2025-02 conditional novelty 6.0 of 10

    The paper presents numerical and analytic evidence that the large-N sphere partition function of five classes of M2-brane SCFTs, with squashing and real masses, takes the form of an Airy function to all orders in 1/N.

  3. The Superconformal Index and Black Hole Instabilities

    hep-th 2025-02 reject novelty 5.0 of 10

    The two-angular-momentum superconformal index of N=4 SYM has degeneracy tails beyond the entropy of the single AdS5 black hole, interpreted as grey galaxy signatures.

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