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We systematically study various sub-leading structures in the superconformal index of ${\cal N}=4$ supersymmetric Yang-Mills theory with SU($N$) gauge group. We concentrate in the superconformal index description as a matrix model of…

High Energy Physics - Theory · Physics 2022-05-20 Alfredo González Lezcano , Junho Hong , James T. Liu , Leopoldo A. Pando Zayas

The counting of microstates of supersymmetric black holes with anti-de Sitter or flat asymptotics is obtained by computing a supersymmetric index in a weakly coupled string theory or a dual superconformal field theory. These indices are…

High Energy Physics - Theory · Physics 2026-02-17 Enrico Turetta

The superconformal index is a grand-canonical partition function that counts the 1/16-BPS states in the theory, and its Legendre transform with respect to reduced chemical potentials accounts for the Bekenstein-Hawking entropy of…

High Energy Physics - Theory · Physics 2026-05-05 Minwoo Suh

The superconformal index of the $\mathcal{N}=4$ SU(N) supersymmetric Yang-Mills theory counts the 1/16-BPS states in this theory, and has been used via the AdS/CFT correspondence to count black hole microstates of 1/16-BPS black holes. On…

High Energy Physics - Theory · Physics 2022-09-09 Ofer Aharony , Francesco Benini , Ohad Mamroud , Elisa Milan

We compute the superconformal index of 3d $\mathcal{N}=2$ superconformal theories obtained from $N$ M5-branes wrapped on a hyperbolic 3-manifold. Exploiting the 3d-3d correspondence, we use perturbative invariants of $SL(N,\mathbb{C})$…

High Energy Physics - Theory · Physics 2020-03-30 Francesco Benini , Dongmin Gang , Leopoldo A. Pando Zayas

We study complex saddles of the Lorentzian path integral for 4D axion gravity and its dual description in terms of a 3-form flux, which include the Giddings-Strominger Euclidean wormhole. Transition amplitudes are computed using the…

High Energy Physics - Theory · Physics 2022-08-24 Gregory J. Loges , Gary Shiu , Nidhi Sudhir

We examine the black hole solutions of dS$_3$ gravity by applying the explicit dS$_3$/CFT$_2$ correspondence. The gravity theory is described by Chern-Simons theory with complex gauge group SL$(2,\mathbb{C})$, and the complexified theory is…

High Energy Physics - Theory · Physics 2023-08-31 Heng-Yu Chen , Yasuaki Hikida , Yusuke Taki , Takahiro Uetoko

We systematically analyze the large-$N$ limit of the superconformal index of $\mathcal{N}=1$ superconformal theories having a quiver description. The index of these theories is known in terms of unitary matrix integrals, which we calculate…

High Energy Physics - Theory · Physics 2020-12-30 Alejandro Cabo-Bizet , Davide Cassani , Dario Martelli , Sameer Murthy

We analyze a set of contributions to the superconformal index of 4d $\mathcal{N} = 4$ $SU(N)$ super Yang-Mills using the Bethe Ansatz approach. These contributions dominate at the large $N$ limit, where their leading order in $N$ reproduces…

High Energy Physics - Theory · Physics 2023-10-31 Ohad Mamroud

We construct new classes of supersymmetric AdS$_2 \times {\Sigma}$ solutions of 4d gauged supergravity in presence of charged hypermultiplet scalars, with ${\Sigma}$ the complex weighted projective space known as a spindle. These solutions…

High Energy Physics - Theory · Physics 2023-10-31 Kiril Hristov , Minwoo Suh

We extend previous investigations on the construction of extremal supersymmetric and non-supersymmetric solutions in the H-FGK formalism to "unconventional" solutions with anharmonic terms. We show how the use of "fake" charge vectors…

High Energy Physics - Theory · Physics 2015-06-16 P. Bueno , P. Galli , P. Meessen , T. Ortin

By exploiting the role of the horizontal symmetry SL(2,R), we extend the analysis and classification of two-centered extremal black hole charge configurations to the case of "small" single-centered constituents. These latter are seen to…

High Energy Physics - Theory · Physics 2015-05-28 Anna Ceresole , Sergio Ferrara , Alessio Marrani , Armen Yeranyan

The explanation of black hole entropy as statistical entropy is one of the big successes of string theory. In this article we review recent progress in this subject, focussing on understanding quantum effects on black hole entropy.…

High Energy Physics - Theory · Physics 2025-02-24 Davide Cassani , Sameer Murthy

We establish a precise correspondence between the giant graviton expansion of the superconformal index of field theories in $D\leq 4$, and the master volume formalism of Gauntlett, Martelli and Sparks (GMS) which determines the near horizon…

High Energy Physics - Theory · Physics 2025-11-04 Heng-Yu Chen , Nick Dorey , Sanefumi Moriyama , Rishi Mouland , Canberk Sanli

In this paper, we consider the Euclidean partition function of uncharged and charged $AdS_{d+1}$ black hole geometries in canonical and grand canonical ensemble for $d\geq3$. It is seen that the partition function can be reduced to a…

High Energy Physics - Theory · Physics 2026-02-12 Manishankar Ailiga , Shubhashis Mallik , Gaurav Narain

We construct solutions in the form of $AdS_2\times\Sigma$, where $\Sigma$ denotes a spindle geometry, within a particular 4d $\mathcal{N}=2$ gauged supergravity with vector multiplets and a charged hypermultiplet stemming from a consistent…

High Energy Physics - Theory · Physics 2024-08-08 Kiril Hristov , Minwoo Suh

Motivated by multi-centered black hole solutions of Maxwell-Einstein theories of (super)gravity in D=4 space-time dimensions, we develop some general methods, that can be used to determine all homogeneous invariant polynomials on the…

Mathematical Physics · Physics 2015-06-12 Sergio L. Cacciatori , Alessio Marrani , Bert van Geemen

The motion of a particle near the Reissner-Nordstrom black hole horizon is described by conformal mechanics. In this paper we present an extended one-dimensional analysis of the N=4 superconformal mechanics coupled to n copies of N=8, d=1…

High Energy Physics - Theory · Physics 2008-12-18 S. Bellucci , S. Krivonos , A. Shcherbakov , A. Sutulin

We resolve a puzzle associated with the spherically-symmetric sector of the AdS$_4$ Einstein-Maxwell partition function with inverse temperature $\beta$. Since charge is quantized, the semiclassical limit of the partition function is…

High Energy Physics - Theory · Physics 2026-04-23 Maciej Kolanowski , Donald Marolf

In the near-horizon region, black holes exhibit an infinite-dimensional symmetry reminiscent of the Bondi-Metzner-Sachs (BMS) supertranslations. The conserved charges associated with this symmetry can be computed in gravitational theories…

High Energy Physics - Theory · Physics 2025-06-30 Mariano Chernicoff , Gaston Giribet , Julio Oliva
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