# Single-centered black hole microstate degeneracies from instantons in supergravity

@article{Murthy2015SinglecenteredBH, title={Single-centered black hole microstate degeneracies from instantons in supergravity}, author={S. K. Narasimha Murthy and Valentin Reys}, journal={Journal of High Energy Physics}, year={2015}, volume={2016}, pages={1-33} }

A bstractWe obtain holographic constraints on the microscopic degeneracies of black holes by computing the exact macroscopic quantum entropy using localization, including the effects of string worldsheet instantons in the supergravity effective action. For 14$$ \frac{1}{4} $$-BPS black holes in type II string theory on K3 × T2, the constraints can be explicitly checked against expressions for the microscopic BPS counting functions that are known in terms of certain mock modular forms. We find…

## 30 Citations

### Mock modularity from black hole scattering states

- PhysicsJournal of High Energy Physics
- 2018

A bstractThe exact degeneracies of quarter-BPS dyons in Type II string theory on K3 × T2 are given by Fourier coefficients of the inverse of the Igusa cusp form. For a fixed magnetic charge invariant…

### Quantum black hole entropy, localization and the stringy exclusion principle

- PhysicsJournal of High Energy Physics
- 2018

A bstractSupersymmetric localization has led to remarkable progress in computing quantum corrections to BPS black hole entropy. The program has been successful especially for computing perturbative…

### The gravitational path integral for $ N=4$ BPS black holes from black hole microstate counting

- Physics
- 2022

We use the exact degeneracy formula of single-centred 14 BPS dyonic black holes with unit torsion in 4D N = 4 toroidally compactified heterotic string theory to improve on the existing formulation of…

### On the quantum entropy function in 4d gauged supergravity

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe analyze BPS black hole attractors in the conformal 4d gauged supergravity formalism and apply the technique known as supergravity localization in order to evaluate Sen’s quantum entropy…

### Higher derivative corrections to BPS black hole attractors in 4d gauged supergravity

- Physics
- 2016

A bstractWe analyze BPS black hole attractors in 4d gauged supergravity in the presence of higher derivative supersymmetric terms, including a Weyl-squared-type action, and determine the resulting…

### Dyonic black hole degeneracies in $$ \mathcal{N} $$ = 4 string theory from Dabholkar-Harvey degeneracies

- Mathematics
- 2019

The degeneracies of single-centered dyonic $\frac14$-BPS black holes (BH) in Type II string theory on K3$\times T^2$ are known to be coefficients of certain mock Jacobi forms arising from the Igusa…

### A glimpse of 2D and 3D quantum field theories through number theory

- Physics
- 2018

The work presented here lies at the intersection between quantum field theory, string theory, and number theory. The latter is the fil rouge connecting extremal conformal field theories,…

### An approach to BPS black hole microstate counting in an N = 2 STU model

- Physics
- 2019

We consider four-dimensional dyonic single-center BPS black holes in the $N=2$ STU model of Sen and Vafa. By working in a region of moduli space where the real part of two of the three complex…

### 4d $$ \mathcal{N} $$ = 2 supergravity observables from Nekrasov-like partition functions

- PhysicsJournal of High Energy Physics
- 2022

Abstract
We reinterpret the OSV formula for the on-shell action/entropy function of asymptotically flat BPS black holes as a fixed point formula that is formally equivalent to a recent gluing…

### U-duality Invariant Quantum Entropy from Sums of Kloosterman Sums

- Mathematics
- 2017

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 must obey special…

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