# New Kaluza-Klein instantons and the decay of AdS vacua

## Abstract

We construct a generalization of Witten’s Kaluza-Klein instanton, where a higher-dimensional sphere (rather than a circle as in Witten’s instanton) collapses to zero size and the geometry terminates at a bubble of nothing, in a low energy effective theory of M theory. We then use the solution to exhibit the instability of nonsupersymmetric AdS _{5} vacua in M theory compactified on positive Kähler-Einstein spaces, providing further evidence for the recent conjecture that any nonsupersymmetric anti–de Sitter vacuum supported by fluxes must be unstable.

- Authors:

- California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Univ. of Tokyo (Japan). Kavli Inst. for the Physics and Mathematics of the Universe
- California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Landau Inst. for Theoretical Physics, Chernogolovka (Russia)

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Simons Foundation, New York City, NY (United States); World Premier International Research Center Initiative (WPI); Ministry of Education, Culture, Sports, Science and Technology (MEXT); Japan Society for the Promotion of Science (JSPS)

- OSTI Identifier:
- 1425382

- Alternate Identifier(s):
- OSTI ID: 1371958

- Grant/Contract Number:
- sc0011632; C-26400240; 15H05895

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Volume: 96; 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; Gauge-gravity dualities; M-theory; Strings and branes; particles and fields

### Citation Formats

```
Ooguri, Hirosi, and Spodyneiko, Lev. New Kaluza-Klein instantons and the decay of AdS vacua. United States: N. p., 2017.
Web. doi:10.1103/PhysRevD.96.026016.
```

```
Ooguri, Hirosi, & Spodyneiko, Lev. New Kaluza-Klein instantons and the decay of AdS vacua. United States. doi:10.1103/PhysRevD.96.026016.
```

```
Ooguri, Hirosi, and Spodyneiko, Lev. Wed .
"New Kaluza-Klein instantons and the decay of AdS vacua". United States. doi:10.1103/PhysRevD.96.026016. https://www.osti.gov/servlets/purl/1425382.
```

```
@article{osti_1425382,
```

title = {New Kaluza-Klein instantons and the decay of AdS vacua},

author = {Ooguri, Hirosi and Spodyneiko, Lev},

abstractNote = {We construct a generalization of Witten’s Kaluza-Klein instanton, where a higher-dimensional sphere (rather than a circle as in Witten’s instanton) collapses to zero size and the geometry terminates at a bubble of nothing, in a low energy effective theory of M theory. We then use the solution to exhibit the instability of nonsupersymmetric AdS5 vacua in M theory compactified on positive Kähler-Einstein spaces, providing further evidence for the recent conjecture that any nonsupersymmetric anti–de Sitter vacuum supported by fluxes must be unstable.},

doi = {10.1103/PhysRevD.96.026016},

journal = {Physical Review D},

number = 2,

volume = 96,

place = {United States},

year = {2017},

month = {7}

}

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