# Mass-deformed ABJM and black holes in AdS _{4}

## Abstract

We find a class of new supersymmetric dyonic black holes in four-dimensional maximal gauged supergravity which are asymptotic to the SU(3) × U(1) invariant AdS _{4} Warner vacuum. These black holes can be embedded in eleven-dimensional supergravity where they describe the backreaction of M2-branes wrapped on a Riemann surface. The holographic dual description of these supergravity backgrounds is given by a partial topological twist on a Riemann surface of a three-dimensional N = 2 SCFT that is obtained by a mass-deformation of the ABJM theory. Lastly, we compute explicitly the topologically twisted index of this SCFT and show that it accounts for the entropy of the black holes.

- Authors:

- Katholieke Univ. Leuven, Leuven (Belgium). Inst. of Theoretical Physics
- Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy

- Publication Date:

- Research Org.:
- Univ. of Southern California, Los Angeles (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1499193

- Grant/Contract Number:
- SC0011687

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 3; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; AdS-CFT Correspondence; Black Holes in String Theory; Conformal Field Theory

### Citation Formats

```
Bobev, Nikolay, Min, Vincent S., and Pilch, Krzysztof. Mass-deformed ABJM and black holes in AdS4. United States: N. p., 2018.
Web. doi:10.1007/jhep03(2018)050.
```

```
Bobev, Nikolay, Min, Vincent S., & Pilch, Krzysztof. Mass-deformed ABJM and black holes in AdS4. United States. doi:10.1007/jhep03(2018)050.
```

```
Bobev, Nikolay, Min, Vincent S., and Pilch, Krzysztof. Thu .
"Mass-deformed ABJM and black holes in AdS4". United States. doi:10.1007/jhep03(2018)050. https://www.osti.gov/servlets/purl/1499193.
```

```
@article{osti_1499193,
```

title = {Mass-deformed ABJM and black holes in AdS4},

author = {Bobev, Nikolay and Min, Vincent S. and Pilch, Krzysztof},

abstractNote = {We find a class of new supersymmetric dyonic black holes in four-dimensional maximal gauged supergravity which are asymptotic to the SU(3) × U(1) invariant AdS4 Warner vacuum. These black holes can be embedded in eleven-dimensional supergravity where they describe the backreaction of M2-branes wrapped on a Riemann surface. The holographic dual description of these supergravity backgrounds is given by a partial topological twist on a Riemann surface of a three-dimensional N = 2 SCFT that is obtained by a mass-deformation of the ABJM theory. Lastly, we compute explicitly the topologically twisted index of this SCFT and show that it accounts for the entropy of the black holes.},

doi = {10.1007/jhep03(2018)050},

journal = {Journal of High Energy Physics (Online)},

number = 3,

volume = 2018,

place = {United States},

year = {2018},

month = {3}

}

*Citation information provided by*

Web of Science

Web of Science

#### Figures / Tables:

_{4}black holes: formal relations between the free energy,

*F*

_{S3}, the twisted topological index,

*I*, and the black hole entropy,

_{M}*S*

_{BH}. The operations along the arrows are: MD - mass deformation, TT - topological twist, CE - constrained extremization.

Works referenced in this record:

##
Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity

journal, January 2018

- Liu, James T.; Pando Zayas, Leopoldo A.; Rathee, Vimal
- Journal of High Energy Physics, Vol. 2018, Issue 1

##
Universal RG flows across dimensions and holography

journal, December 2017

- Bobev, Nikolay; Crichigno, P. Marcos
- Journal of High Energy Physics, Vol. 2017, Issue 12

##
Surface terms as counterterms in the AdS-CFT correspondence

journal, October 1999

- Emparan, Roberto; Johnson, Clifford V.; Myers, Robert C.
- Physical Review D, Vol. 60, Issue 10

##
Exact microstate counting for dyonic black holes in AdS4

journal, August 2017

- Benini, Francesco; Hristov, Kiril; Zaffaroni, Alberto
- Physics Letters B, Vol. 771

##
*AdS* _{4} / *CFT* _{3} squashed, stretched and warped

journal, March 2009

- Klebanov, Igor R.; Klose, Thomas; Murugan, Arvind
- Journal of High Energy Physics, Vol. 2009, Issue 03

##
Some new extrema of the scalar potential of gauged N = 8 supergravity

journal, August 1983

- Warner, N. P.
- Physics Letters B, Vol. 128, Issue 3-4

##
Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory

journal, July 1995

- Leigh, Robert G.; Strassler, Matthew J.
- Nuclear Physics B, Vol. 447, Issue 1

##
Topological quantum field theory

journal, September 1988

- Witten, Edward
- Communications in Mathematical Physics, Vol. 117, Issue 3

##
An supersymmetric membrane flow

journal, May 2002

- Corrado, Richard; Pilch, Krzysztof; Warner, Nicholas P.
- Nuclear Physics B, Vol. 629, Issue 1-3

##
Some properties of the scalar potential in gauged supergravity theories

journal, January 1984

- Warner, N. P.
- Nuclear Physics B, Vol. 231, Issue 2

##
Membranes wrapped on holomorphic curves

journal, December 2001

- Gauntlett, Jerome P.; Kim, Nakwoo; Pakis, Stathis
- Physical Review D, Vol. 65, Issue 2

##
Supersymmetric black holes in AdS4 from very special geometry

journal, April 2014

- Gnecchi, Alessandra; Halmagyi, Nick
- Journal of High Energy Physics, Vol. 2014, Issue 4

##
Comments on twisted indices in 3d supersymmetric gauge theories

journal, August 2016

- Closset, Cyril; Kim, Heeyeon
- Journal of High Energy Physics, Vol. 2016, Issue 8

##
The SU(3)×U(1) invariant breaking of gauged N = 8 supergravity

journal, September 1985

- Nicolai, H.; Warner, N. P.
- Nuclear Physics B, Vol. 259, Issue 2-3

##
Supergravity instabilities of non-supersymmetric quantum critical points

journal, November 2010

- Bobev, Nikolay; Halmagyi, Nick; Pilch, Krzysztof
- Classical and Quantum Gravity, Vol. 27, Issue 23

##
The symplectic structure of N=2 supergravity and its central extension

journal, March 1996

- Ceresole, A.; D'Auria, R.; Ferrara, S.
- Nuclear Physics B - Proceedings Supplements, Vol. 46, Issue 1-3

##
BPS black holes in AdS 4 from M-theory

journal, August 2013

- Halmagyi, Nick; Petrini, Michela; Zaffaroni, Alberto
- Journal of High Energy Physics, Vol. 2013, Issue 8

##
The consistency of the S7 truncation in d=11 supergravity

journal, January 1987

- De Wit, B.; Nicolai, H.
- Nuclear Physics B, Vol. 281, Issue 1-2

##
$\mathrm{STU}$ black holes and string triality

journal, November 1996

- Behrndt, Klaus; Kallosh, Renata; Rahmfeld, Joachim
- Physical Review D, Vol. 54, Issue 10

##
Nonextremal black holes in gauged supergravity and the real formulation of special geometry

journal, January 2013

- Klemm, Dietmar; Vaughan, Owen
- Journal of High Energy Physics, Vol. 2013, Issue 1

##
Embedding of gauged STU supergravity in eleven dimensions

journal, September 2016

- Azizi, Arash; Godazgar, Hadi; Godazgar, Mahdi
- Physical Review D, Vol. 94, Issue 6

##
Holographic Uniformization

journal, February 2013

- Anderson, Michael T.; Beem, Christopher; Bobev, Nikolay
- Communications in Mathematical Physics, Vol. 318, Issue 2

##
N = 8 supergravity

journal, November 1982

- De Wit, B.; Nicolai, H.
- Nuclear Physics B, Vol. 208, Issue 2

##
Localization techniques in quantum field theories

journal, October 2017

- Pestun, Vasily; Zabzine, Maxim; Benini, Francesco
- Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 44

##
BPS black hole horizons from massive IIA

journal, August 2017

- Guarino, Adolfo
- Journal of High Energy Physics, Vol. 2017, Issue 8

##
Holographic microstate counting for AdS4 black holes in massive IIA supergravity

journal, October 2017

- Hosseini, Seyed Morteza; Hristov, Kiril; Passias, Achilleas
- Journal of High Energy Physics, Vol. 2017, Issue 10

##
Renormalization group running of the entanglement entropy of a circle

journal, June 2012

- Casini, H.; Huerta, M.
- Physical Review D, Vol. 85, Issue 12

##
General matter coupled N = 2 supergravity

journal, September 1996

- Andrianopoli, L.; Bertolini, M.; Ceresole, A.
- Nuclear Physics B, Vol. 476, Issue 3

##
Anti-de Sitter black holes in gauged N = 8 supergravity

journal, August 1999

- Duff, M. J.; Liu, James T.
- Nuclear Physics B, Vol. 554, Issue 1-2

##
Three-dimensional SCFTs, supersymmetric domain wall and renormalization group flow

journal, February 2001

- Ahn, Changhyun; Paeng, Jinsub
- Nuclear Physics B, Vol. 595, Issue 1-2

##
A new supersymmetric compactification of chiral IIB supergravity

journal, August 2000

- Pilch, Krzysztof; Warner, Nicholas P.
- Physics Letters B, Vol. 487, Issue 1-2

##
Dyonic AdS black holes in maximal gauged supergravity

journal, March 2014

- Chow, David D. K.; Compère, Geoffrey
- Physical Review D, Vol. 89, Issue 6

##
Embedding AdS black holes in ten and eleven dimensions

journal, October 1999

- Cveticˇ, M.; Duff, M. J.; Hoxha, P.
- Nuclear Physics B, Vol. 558, Issue 1-2

##
Supersymmetry of anti-de Sitter black holes

journal, April 1999

- Caldarelli, Marco M.; Klemm, Dietmar
- Nuclear Physics B, Vol. 545, Issue 1-3

##
New vacua of gauged supergravity in five dimensions

journal, August 2000

- Khavaev, Alexei; Pilch, Krzysztof; Warner, Nicholas P.
- Physics Letters B, Vol. 487, Issue 1-2

##
Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem

journal, February 2001

- Maldacena, Juan; NuÑEz, Carlos
- International Journal of Modern Physics A, Vol. 16, Issue 05

##
N = 2 supergravity and N = 2 super Yang-Mills theory on general scalar manifolds: Symplectic covariance gaugings and the momentum map

journal, September 1997

- Andrianopoli, L.; Bertolini, M.; Ceresole, A.
- Journal of Geometry and Physics, Vol. 23, Issue 2

##
Logarithmic corrections to entropy of magnetically charged AdS 4 black holes

journal, November 2017

- Jeon, Imtak; Lal, Shailesh
- Physics Letters B, Vol. 774

##
Supersymmetric black holes and attractors in gauged supergravity with hypermultiplets

journal, June 2015

- Chimento, Samuele; Klemm, Dietmar; Petri, Nicolò
- Journal of High Energy Physics, Vol. 2015, Issue 6

##
Gauge symmetry and supersymmetry of multiple M2-branes

journal, March 2008

- Bagger, Jonathan; Lambert, Neil
- Physical Review D, Vol. 77, Issue 6

##
Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory

journal, September 1992

- Romans, L. J.
- Nuclear Physics B, Vol. 383, Issue 1-2

##
Supersymmetric domain wall and RG flow from 4-dimensional gauged supergravity

journal, April 2001

- Ahn, Changhyun; Woo, Kyungsung
- Nuclear Physics B, Vol. 599, Issue 1-2

##
From Weak to Strong Coupling in ABJM Theory

journal, May 2011

- Drukker, Nadav; Mariño, Marcos; Putrov, Pavel
- Communications in Mathematical Physics, Vol. 306, Issue 2

Figures / Tables found in this record:

*Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.*