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

## Abstract

The topologically twisted index for ABJM theory with gauge group U(N) _{k} × U(N) _{-k} has recently been shown, in the large-N limit, to reproduce the BekensteinHawking entropy of certain magnetically charged asymptotically AdS _{4} black holes. We numerically study the index beyond the large-N limit and provide evidence that it contains a subleading logarithmic term of the form -1/2 log N. On the holographic side, this term naturally arises from a one-loop computation. However, we find that the contribution coming from the near horizon states does not reproduce the field theory answer. Lastly, we give some possible reasons for this apparent discrepancy.

- Authors:

- Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics
- Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics, Randall Lab. of Physics; Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)

- Publication Date:

- Research Org.:
- Univ. of Michigan, Ann Arbor, MI (United States)

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

- OSTI Identifier:
- 1457338

- Grant/Contract Number:
- SC0017808

- Resource Type:
- Journal Article: 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: 1; 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; Supersymmetric Gauge Theory

### Citation Formats

```
Liu, James T., Pando Zayas, Leopoldo A., Rathee, Vimal, and Zhao, Wenli.
```*Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity*. United States: N. p., 2018.
Web. doi:10.1007/JHEP01(2018)026.

```
Liu, James T., Pando Zayas, Leopoldo A., Rathee, Vimal, & Zhao, Wenli.
```*Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity*. United States. doi:10.1007/JHEP01(2018)026.

```
Liu, James T., Pando Zayas, Leopoldo A., Rathee, Vimal, and Zhao, Wenli. Mon .
"Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity". United States.
doi:10.1007/JHEP01(2018)026. https://www.osti.gov/servlets/purl/1457338.
```

```
@article{osti_1457338,
```

title = {Toward microstate counting beyond large N in localization and the dual one-loop quantum supergravity},

author = {Liu, James T. and Pando Zayas, Leopoldo A. and Rathee, Vimal and Zhao, Wenli},

abstractNote = {The topologically twisted index for ABJM theory with gauge group U(N)k × U(N)-k has recently been shown, in the large-N limit, to reproduce the BekensteinHawking entropy of certain magnetically charged asymptotically AdS4 black holes. We numerically study the index beyond the large-N limit and provide evidence that it contains a subleading logarithmic term of the form -1/2 log N. On the holographic side, this term naturally arises from a one-loop computation. However, we find that the contribution coming from the near horizon states does not reproduce the field theory answer. Lastly, we give some possible reasons for this apparent discrepancy.},

doi = {10.1007/JHEP01(2018)026},

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

number = 1,

volume = 2018,

place = {United States},

year = {Mon Jan 08 00:00:00 EST 2018},

month = {Mon Jan 08 00:00:00 EST 2018}

}

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Cited by: 4 works

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