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

@article{Murthy2015SinglecenteredBH, title={Single-centered black hole microstate degeneracies from instantons in supergravity}, author={Sameer 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…

## 42 Citations

### Mock modularity from black hole scattering states

- PhysicsJournal of High Energy Physics
- 2018

The 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 m, the…

### 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…

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

- Materials ScienceJournal of High Energy Physics
- 2018

Supersymmetric 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…

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

- PhysicsJournal of High Energy Physics
- 2018

We 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 function…

### 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…

### Twisting and localization in supergravity: equivariant cohomology of BPS black holes

- PhysicsJournal of High Energy Physics
- 2019

A bstractWe develop the formalism of supersymmetric localization in supergravity using the deformed BRST algebra defined in the presence of a supersymmetric background as recently formulated in [1].…

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

- PhysicsJournal of High Energy Physics
- 2016

We 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 corrections…

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