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EFT and the SUSY Index on the 2nd Sheet
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The counting of BPS states in four-dimensional ${\cal N}=1$ theories has attracted a lot of attention in recent years. For superconformal theories, these states are in one-to-one correspondence with local operators in various short representations. The generating function for this counting problem has branch cuts and hence several Cardy-like limits, which are analogous to high-temperature limits. Particularly interesting is the second sheet, which has been shown to capture the microstates and phases of supersymmetric black holes in AdS$_5$. Here we present a 3d Effective Field Theory (EFT) approach to the high-temperature limit on the second sheet. We use the EFT to derive the behavior of the index at orders $\beta^{-2},\beta^{-1},\beta^0$. We also make a conjecture for $O(\beta)$, where we argue that the expansion truncates up to exponentially small corrections. An important point is the existence of vector multiplet zero modes, unaccompanied by massless matter fields. The runaway of Affleck-Harvey-Witten is however avoided by a non-perturbative confinement mechanism. This confinement mechanism guarantees that our results are robust.
Forward citations
Cited by 13 Pith papers
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Odd-Dimensional Localization in Supergravity
The on-shell action of odd-dimensional supergravity with Chern-Simons terms localizes to fixed points via relative equivariant cohomology, yielding a universal formula matching M5-brane and black ring physics.
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CFTs on Squashed Spheres and the Thermal Effective Action
Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.
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Covariant unification of holographic c-functions
A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-g...
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Indices of M5 and M2 branes at finite $N$ from equivariant volumes, and a new duality
Finite-N indices for M5- and M2-branes are expressed via the same equivariant characteristic classes, generalizing M2/M5 duality through geometry exchange.
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Towards OSV in AdS
Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.
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On non-relativistic integrable models and 4d SCFTs
Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.
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The superconformal index and localizing higher derivative supergravity
Equivariant localization computes the on-shell action of D=5 AdS rotating charged black holes in higher-derivative supergravity, exactly matching the dual superconformal index in the Cardy limit.
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Supersymmetric AdS Solitons, Coulomb Branch Flows and Twisted Compactifications
Constructs holographic supergravity solutions for supersymmetric RG flows from 4D SCFTs to confining 3D SQFTs, with universal factorization of observables.
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Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS$_4$ Black Holes
Multiple microscopic methods confirm universality of AdS4 black hole entropy for non-extremal cases at high temperatures and show Hawking radiation rate proportional to horizon area.
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Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and assoc...
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BMPV black hole at first order in $\alpha'$
Derives analytic α' corrections to the three-charge BMPV black hole geometry and computes its corrected entropy via generalized Wald formula, matching supersymmetric index results.
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Global symmetries: locality, unitarity, and regularity
Authors introduce an observable measuring non-locality properties of symmetry operators that encodes fusion algebra information for a class of examples in QFT.
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Gravitational index, black hole saddle degeneracy, and one-form symmetry
One-form symmetry induces degeneracy in black hole saddles for the superconformal index, realized gravitationally with spontaneous breaking illustrated via black hole to black brane transition in the small chemical po...
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