120 citations · 523 across the 16 of their papers we have counts for
16 papers
On the exact entropy of black holes
João Gomes, Huibert het Lam, Grégoire Mathys
We study the exact entropy of four-dimensional black holes in M-theory both from the brane and supergravity points of view. On the microscopic side the degeneracy i…
Siegel Paramodular Forms and Sparseness in AdS/CFT
Alexandre Belin, Alejandra Castro, Joao Gomes +1
We discuss the application of Siegel paramodular forms to the counting of polar states in symmetric product orbifold CFTs. We present five special examples and provide exact analyt…
U-duality Invariant Quantum Entropy from Sums of Kloosterman Sums
Joao Gomes
U-duality plays a special role in the study of the microscopic degrees of freedom of supersymmetric black holes. To be consistent with duality, the black hole quantum degeneracy mu…
Generalized Kloosterman Sums from M2-branes
Joao Gomes
Kloosterman sums play a special role in analytic number theory, for expressing the integer Fourier coefficients of modular forms as an infinite sum of Bessel functions, also known…
Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
Joao Gomes
Supersymmetric localization has lead to remarkable progress in computing quantum corrections to BPS black hole entropy. The program has been successful especially for computing per…
Siegel Modular Forms and Black Hole Entropy
Alexandre Belin, Alejandra Castro, Joao Gomes +1
We discuss the application of Siegel Modular Forms to Black Hole entropy counting. The role of the Igusa cusp form in the D1D5P system is well-known, and its transformatio…
Exact holography and black hole entropy in N=8 and N=4 string theory
Joao Gomes
We compute the exact entropy of one-eighth and one-quarter BPS black holes in N=8 and N=4 string theory respectively. This includes all the N=4 CHL models in both K3 and T^4 compac…
Localization in Supergravity and Quantum Holography
Atish Dabholkar, Nadav Drukker, Joao Gomes
We compute the quantum gravity partition function of M-theory on by using localization techniques in four-dimensional gauged supergravity obtained by a consiste…
Nonperturbative black hole entropy and Kloosterman sums
Atish Dabholkar, Joao Gomes, Sameer Murthy
Non-perturbative quantum corrections to supersymmetric black hole entropy often involve nontrivial number-theoretic phases called Kloosterman sums. We show how these sums can be ob…
Quantum entropy and exact 4d/5d connection
Joao Gomes
We consider the AdS_2/CFT_1 holographic correspondence near the horizon of rotating five-dimensional black holes preserving four supersymmetries in N=2 supergravity. The bulk parti…
Quantum entropy of supersymmetric black holes
Joao Gomes
We review recent progress concerning the quantum entropy of a large class of supersymmetric black holes in string theory both from the microscopic and macroscopic sides. On the mic…
Localization & Exact Holography
Atish Dabholkar, Joao Gomes, Sameer Murthy
We consider the AdS_2/CFT_1 holographic correspondence near the horizon of big four-dimensional black holes preserving four supersymmetries in toroidally compactified Type-II strin…
Quantum black holes, localization and the topological string
Atish Dabholkar, Joao Gomes, Sameer Murthy
We use localization to evaluate the functional integral of string field theory on AdS_2xS^2 background corresponding to the near horizon geometry of supersymmetric black holes in 4…
Supersymmetric Index from Black Hole Entropy
Atish Dabholkar, Joao Gomes, Sameer Murthy +1
For BPS black holes with at least four unbroken supercharges, we describe how the macroscopic entropy can be used to compute an appropriate index, which can be then compared with t…
Perturbative tests of non-perturbative counting
Atish Dabholkar, Joao Gomes
We observe that a class of quarter-BPS dyons in N=4 theories with charge vector (Q, P) and with nontrivial values of the arithmetic duality invariant I := gcd (Q wedge P) are nonpe…
Counting all dyons in N =4 string theory
Atish Dabholkar, Joao Gomes, Sameer Murthy
For dyons in heterotic string theory compactified on a six-torus, with electric charge vector Q and magnetic charge vector P, the positive integer I = g.c.d.(Q \wedge P) is an inva…