# Large $N$ phase transitions and the fate of small Schwarzschild-AdS black holes

## Abstract

Sufficiently small Schwarzschild-AdS black holes in asymptotically global $${\mathrm{AdS}}_{5}\times{}{S}^{5}$$ spacetime are known to become dynamically unstable toward deformation of the internal $${S}^{5}$$ geometry. The resulting evolution of such an unstable black hole is related, via holography, to the dynamics of supercooled plasma which has reached the limit of metastability in maximally supersymmetric large-$N$ Yang-Mills theory on $$\mathbb{R}\times{}{S}^{3}$$. Puzzles related to the resulting dynamical evolution are discussed, with a key issue involving differences between the large-$N$ limit in the dual field theory and typical large volume thermodynamic limits.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Washington, Seattle, WA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1418074

- Alternate Identifier(s):
- OSTI ID: 1498661

- Grant/Contract Number:
- SC0011637

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 2; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; finite temperature field theory; gauge-gravity dualities; quark-gluon plasma

### Citation Formats

```
Yaffe, Laurence G. Large N phase transitions and the fate of small Schwarzschild-AdS black holes. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.026010.
```

```
Yaffe, Laurence G. Large N phase transitions and the fate of small Schwarzschild-AdS black holes. United States. doi:10.1103/PhysRevD.97.026010.
```

```
Yaffe, Laurence G. Thu .
"Large N phase transitions and the fate of small Schwarzschild-AdS black holes". United States. doi:10.1103/PhysRevD.97.026010.
```

```
@article{osti_1418074,
```

title = {Large N phase transitions and the fate of small Schwarzschild-AdS black holes},

author = {Yaffe, Laurence G.},

abstractNote = {Sufficiently small Schwarzschild-AdS black holes in asymptotically global ${\mathrm{AdS}}_{5}\times{}{S}^{5}$ spacetime are known to become dynamically unstable toward deformation of the internal ${S}^{5}$ geometry. The resulting evolution of such an unstable black hole is related, via holography, to the dynamics of supercooled plasma which has reached the limit of metastability in maximally supersymmetric large-$N$ Yang-Mills theory on $\mathbb{R}\times{}{S}^{3}$. Puzzles related to the resulting dynamical evolution are discussed, with a key issue involving differences between the large-$N$ limit in the dual field theory and typical large volume thermodynamic limits.},

doi = {10.1103/PhysRevD.97.026010},

journal = {Physical Review D},

number = 2,

volume = 97,

place = {United States},

year = {2018},

month = {1}

}

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DOI: 10.1103/PhysRevD.97.026010

DOI: 10.1103/PhysRevD.97.026010

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Cited by: 4 works

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