# 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. doi: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. doi: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}

}

Free Publicly Available Full Text

Publisher's Version of Record

DOI: 10.1103/PhysRevD.100.046003

DOI: 10.1103/PhysRevD.100.046003

Other availability

Cited by: 8 works

*Citation information provided by*

Web of Science

Web of Science

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

##
Causality, analyticity and an IR obstruction to UV completion

journal, October 2006

- Adams, Allan; Arkani-Hamed, Nima; Dubovsky, Sergei
- Journal of High Energy Physics, Vol. 2006, Issue 10

##
On the geometry of the string landscape and the swampland

journal, March 2007

- Ooguri, Hirosi; Vafa, Cumrun
- Nuclear Physics B, Vol. 766, Issue 1-3

##
Proof of the weak gravity conjecture from black hole entropy

journal, October 2018

- Cheung, Clifford; Liu, Junyu; Remmen, Grant N.
- Journal of High Energy Physics, Vol. 2018, Issue 10

##
Higher derivative corrections to Kerr black hole thermodynamics

journal, April 2019

- Reall, Harvey S.; Santos, Jorge E.
- Journal of High Energy Physics, Vol. 2019, Issue 4

##
Non-supersymmetric AdS and the swampland

journal, January 2017

- Ooguri, Hirosi; Vafa, Cumrun
- Advances in Theoretical and Mathematical Physics, Vol. 21, Issue 7

##
Thermodynamic instability of rotating black holes

journal, July 2009

- Monteiro, R.; Perry, M. J.; Santos, J. E.
- Physical Review D, Vol. 80, Issue 2

##
On Gauss–Bonnet black hole entropy

journal, June 2004

- Clunan, Tim; Ross, Simon F.; Smith, Douglas J.
- Classical and Quantum Gravity, Vol. 21, Issue 14

##
The quartic effective action for the heterotic string

journal, January 1987

- Gross, David J.; Sloan, John H.
- Nuclear Physics B, Vol. 291

##
Perturbative method to solve fourth-order gravity field equations

journal, May 1994

- Campanelli, M.; Lousto, C. O.; Audretsch, J.
- Physical Review D, Vol. 49, Issue 10

##
Universal upper bound on the entropy-to-energy ratio for bounded systems

journal, January 1981

- Bekenstein, Jacob D.
- Physical Review D, Vol. 23, Issue 2

##
One-loop divergences of quantized Einstein-Maxwell fields

journal, July 1974

- Deser, S.; van Nieuwenhuizen, P.
- Physical Review D, Vol. 10, Issue 2

##
The string landscape, black holes and gravity as the weakest force

journal, June 2007

- Arkani-Hamed, Nima; Motl, Luboš; Nicolis, Alberto
- Journal of High Energy Physics, Vol. 2007, Issue 06

##
A covariant entropy conjecture

journal, July 1999

- Bousso, Raphael
- Journal of High Energy Physics, Vol. 1999, Issue 07

##
Theoretical aspects of massive gravity

journal, May 2012

- Hinterbichler, Kurt
- Reviews of Modern Physics, Vol. 84, Issue 2

##
Infrared consistency and the weak gravity conjecture

journal, December 2014

- Cheung, Clifford; Remmen, Grant N.
- Journal of High Energy Physics, Vol. 2014, Issue 12

##
Generalized second law of thermodynamics in black-hole physics

journal, June 1974

- Bekenstein, Jacob D.
- Physical Review D, Vol. 9, Issue 12

##
Positive signs in massive gravity

journal, April 2016

- Cheung, Clifford; Remmen, Grant N.
- Journal of High Energy Physics, Vol. 2016, Issue 4

##
Causality constraints on corrections to the graviton three-point coupling

journal, February 2016

- Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan
- Journal of High Energy Physics, Vol. 2016, Issue 2

##
On renormalization group flows in four dimensions

journal, December 2011

- Komargodski, Zohar; Schwimmer, Adam
- Journal of High Energy Physics, Vol. 2011, Issue 12

##
Erratum to: Heavy fields and gravity

journal, March 2017

- Goon, Garrett
- Journal of High Energy Physics, Vol. 2017, Issue 3

##
Distance and de Sitter conjectures on the Swampland

journal, January 2019

- Ooguri, Hirosi; Palti, Eran; Shiu, Gary
- Physics Letters B, Vol. 788

##
Heavy fields and gravity

journal, January 2017

- Goon, Garrett
- Journal of High Energy Physics, Vol. 2017, Issue 1

##
Positivity of Curvature-Squared Corrections in Gravity

journal, February 2017

- Cheung, Clifford; Remmen, Grant N.
- Physical Review Letters, Vol. 118, Issue 5

##
Quantum gravity constraints from unitarity and analyticity

journal, March 2016

- Bellazzini, Brando; Cheung, Clifford; Remmen, Grant N.
- Physical Review D, Vol. 93, Issue 6

##
Higher-order corrections to mass-charge relation of extremal black holes

journal, December 2007

- Kats, Yevgeny; Motl, Luboš; Padi, Megha
- Journal of High Energy Physics, Vol. 2007, Issue 12