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Title: 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:
 [1];  [2]
  1. 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
  2. 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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Cited by: 5 works
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Works referenced in this record:

Bubbles of nothing and the fastest decay in the landscape
journal, August 2011


New squashed solutions of d = 11 supergravity
journal, November 1984


Instability of the Kaluza-Klein vacuum
journal, February 1982


Einstein metrics onS 3,R 3 andR 4 bundles
journal, February 1990

  • Gibbons, G. W.; Page, D. N.; Pope, C. N.
  • Communications in Mathematical Physics, Vol. 127, Issue 3
  • DOI: 10.1007/BF02104500

Proof of the positive mass theorem. II
journal, March 1981

  • Schoen, Richard; Yau, Shing-Tung
  • Communications in Mathematical Physics, Vol. 79, Issue 2
  • DOI: 10.1007/BF01942062

Perturbative gauge theory and closed string tachyons
journal, November 2005


Supersymmetric AdS 5 solutions of M-theory
journal, August 2004

  • Gauntlett, Jerome P.; Martelli, Dario; Sparks, James
  • Classical and Quantum Gravity, Vol. 21, Issue 18
  • DOI: 10.1088/0264-9381/21/18/005

A new proof of the positive energy theorem
journal, September 1981

  • Witten, Edward
  • Communications in Mathematical Physics, Vol. 80, Issue 3
  • DOI: 10.1007/BF01208277

Supersymmetric AdS(4) compactifications of IIA supergravity
journal, February 2005


Ads/CFT correspondence and symmetry breaking
journal, September 1999


Perturbative search for fixed lines in large- N gauge theories
journal, August 2005


New string vacua from twistor spaces
journal, August 2008


Nonperturbative instability of AdS 5 × S 5 / Z k
journal, January 2008


Decay of flux vacua to nothing
journal, October 2010

  • Blanco-Pillado, Jose J.; Ramadhan, Handhika S.; Shlaer, Benjamin
  • Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 10
  • DOI: 10.1088/1475-7516/2010/10/029

On the proof of the positive mass conjecture in general relativity
journal, February 1979

  • Schoen, Richard; Yau, Shing-Tung
  • Communications in Mathematical Physics, Vol. 65, Issue 1
  • DOI: 10.1007/BF01940959

Quantentheorie und f�nfdimensionale Relativit�tstheorie
journal, December 1926


Kaluza-Klein supergravity
journal, January 1986


Compactifications ofd=11 supergravity on Kähler manifolds
journal, June 1989

  • Pope, C. N.; van Nieuwenhuizen, P.
  • Communications in Mathematical Physics, Vol. 122, Issue 2
  • DOI: 10.1007/BF01257417

A second look at 𝒩 = 1 supersymmetric AdS 4 vacua of type IIA supergravity
journal, February 2008


4D Conformal Field Theories and Strings on Orbifolds
journal, June 1998


Some stability questions for higher-dimensional theories
journal, July 1984


On the stability and spectrum of non-supersymmetric AdS 5 solutions of M-theory compactified on Kähler-Einstein spaces
journal, March 2009


Type IIA AdS 4 compactifications on cosets, interpolations and domain walls
journal, July 2008


New compactifications of 11-dimensional supergravity
journal, March 2013