# Entropy bounds on effective field theory from rotating dyonic black holes

## Abstract

We derive new bounds on higher-dimension operator coefficients in four-dimensional Einstein-Maxwell theory. Positivity of classically generated corrections to the Wald entropy of thermodynamically stable, rotating dyonic black holes implies a multiparameter family of field basis invariant inequalities that exhibit electromagnetic duality and are satisfied by examples from field and string theory. These bounds imply that effective operators modify the extremality condition of large black holes so as to permit their decay to smaller ones, thus satisfying the weak gravity conjecture.

- Authors:

- Publication Date:

- Research Org.:
- California Institute of Technology (CalTech), Pasadena, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)

- OSTI Identifier:
- 1546827

- Alternate Identifier(s):
- OSTI ID: 1596483

- Grant/Contract Number:
- SC0011632

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 4; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Classical black holes; Effective field theory; Entropy; Quantum aspects of black holes; Quantum field theory

### Citation Formats

```
Cheung, Clifford, Liu, Junyu, and Remmen, Grant N. Entropy bounds on effective field theory from rotating dyonic black holes. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.046003.
```

```
Cheung, Clifford, Liu, Junyu, & Remmen, Grant N. Entropy bounds on effective field theory from rotating dyonic black holes. United States. https://doi.org/10.1103/PhysRevD.100.046003
```

```
Cheung, Clifford, Liu, Junyu, and Remmen, Grant N. Fri .
"Entropy bounds on effective field theory from rotating dyonic black holes". United States. https://doi.org/10.1103/PhysRevD.100.046003.
```

```
@article{osti_1546827,
```

title = {Entropy bounds on effective field theory from rotating dyonic black holes},

author = {Cheung, Clifford and Liu, Junyu and Remmen, Grant N.},

abstractNote = {We derive new bounds on higher-dimension operator coefficients in four-dimensional Einstein-Maxwell theory. Positivity of classically generated corrections to the Wald entropy of thermodynamically stable, rotating dyonic black holes implies a multiparameter family of field basis invariant inequalities that exhibit electromagnetic duality and are satisfied by examples from field and string theory. These bounds imply that effective operators modify the extremality condition of large black holes so as to permit their decay to smaller ones, thus satisfying the weak gravity conjecture.},

doi = {10.1103/PhysRevD.100.046003},

journal = {Physical Review D},

number = 4,

volume = 100,

place = {United States},

year = {2019},

month = {8}

}

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https://doi.org/10.1103/PhysRevD.100.046003

https://doi.org/10.1103/PhysRevD.100.046003

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Cited by: 8 works

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