New Kaluza-Klein instantons and the decay of AdS vacua

Ooguri, Hirosi; Spodyneiko, Lev

doi:10.1103/PhysRevD.96.026016

Title: New Kaluza-Klein instantons and the decay of AdS vacua

Journal Article · Wed Jul 19 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.026016· OSTI ID:1425382

Ooguri, Hirosi ^[1]; Spodyneiko, Lev ^[2]

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)

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); 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)

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

OSTI ID:: 1425382

Alternate ID(s):: OSTI ID: 1371958

Journal Information:: Physical Review D, Vol. 96, Issue 2; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 31 works

Citation information provided by
Web of Science

References (24)

Bubbles of nothing and the fastest decay in the landscape Brown, Adam R.; Dahlen, Alex Physical Review D, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevD.84.043518	journal	August 2011
New squashed solutions of d = 11 supergravity Page, Don N.; Pope, C. N. Physics Letters B, Vol. 147, Issue 1-3 https://doi.org/10.1016/0370-2693(84)90591-4	journal	November 1984
Instability of the Kaluza-Klein vacuum Witten, Edward Nuclear Physics B, Vol. 195, Issue 3 https://doi.org/10.1016/0550-3213(82)90007-4	journal	February 1982
Einstein metrics onS 3,R 3 andR 4 bundles Gibbons, G. W.; Page, D. N.; Pope, C. N. Communications in Mathematical Physics, Vol. 127, Issue 3 https://doi.org/10.1007/BF02104500	journal	February 1990
Proof of the positive mass theorem. II Schoen, Richard; Yau, Shing-Tung Communications in Mathematical Physics, Vol. 79, Issue 2 https://doi.org/10.1007/BF01942062	journal	March 1981
Perturbative gauge theory and closed string tachyons Dymarsky, Anatoly; Klebanov, Igor R.; Roiban, Radu Journal of High Energy Physics, Vol. 2005, Issue 11 https://doi.org/10.1088/1126-6708/2005/11/038	journal	November 2005
Supersymmetric AdS ₅ solutions of M-theory Gauntlett, Jerome P.; Martelli, Dario; Sparks, James Classical and Quantum Gravity, Vol. 21, Issue 18 https://doi.org/10.1088/0264-9381/21/18/005	journal	August 2004
A new proof of the positive energy theorem Witten, Edward Communications in Mathematical Physics, Vol. 80, Issue 3 https://doi.org/10.1007/BF01208277	journal	September 1981
Supersymmetric AdS(4) compactifications of IIA supergravity Lust, D.; Tsimpis, D. Journal of High Energy Physics, Vol. 2005, Issue 02 https://doi.org/10.1088/1126-6708/2005/02/027	journal	February 2005
Ads/CFT correspondence and symmetry breaking Klebanov, Igor R.; Witten, Edward Nuclear Physics B, Vol. 556, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00387-9	journal	September 1999
Perturbative search for fixed lines in large- N gauge theories Dymarsky, Anatoly; Klebanov, Igor R.; Roiban, Radu Journal of High Energy Physics, Vol. 2005, Issue 08 https://doi.org/10.1088/1126-6708/2005/08/011	journal	August 2005
New string vacua from twistor spaces Tomasiello, Alessandro Physical Review D, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevD.78.046007	journal	August 2008
Nonperturbative instability of ${AdS}_{5} \times S^{5} / Z_{k}$ Horowitz, Gary T.; Orgera, Jacopo; Polchinski, Joe Physical Review D, Vol. 77, Issue 2 https://doi.org/10.1103/PhysRevD.77.024004	journal	January 2008
Decay of flux vacua to nothing Blanco-Pillado, Jose J.; Ramadhan, Handhika S.; Shlaer, Benjamin Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 10 https://doi.org/10.1088/1475-7516/2010/10/029	journal	October 2010
On the proof of the positive mass conjecture in general relativity Schoen, Richard; Yau, Shing-Tung Communications in Mathematical Physics, Vol. 65, Issue 1 https://doi.org/10.1007/BF01940959	journal	February 1979
Quantentheorie und f�nfdimensionale Relativit�tstheorie Klein, Oskar Zeitschrift f�r Physik, Vol. 37, Issue 12 https://doi.org/10.1007/BF01397481	journal	December 1926
Kaluza-Klein supergravity Duff, M. Physics Reports, Vol. 130, Issue 1-2 https://doi.org/10.1016/0370-1573(86)90163-8	journal	January 1986
Compactifications ofd=11 supergravity on Kähler manifolds Pope, C. N.; van Nieuwenhuizen, P. Communications in Mathematical Physics, Vol. 122, Issue 2 https://doi.org/10.1007/BF01257417	journal	June 1989
A second look at 𝒩 = 1 supersymmetric AdS ₄ vacua of type IIA supergravity Aldazabal, Gerardo; Font, Anamaría Journal of High Energy Physics, Vol. 2008, Issue 02 https://doi.org/10.1088/1126-6708/2008/02/086	journal	February 2008
4D Conformal Field Theories and Strings on Orbifolds Kachru, Shamit; Silverstein, Eva Physical Review Letters, Vol. 80, Issue 22 https://doi.org/10.1103/PhysRevLett.80.4855	journal	June 1998
Some stability questions for higher-dimensional theories Young, Roberta E. Physics Letters B, Vol. 142, Issue 3 https://doi.org/10.1016/0370-2693(84)91251-6	journal	July 1984
On the stability and spectrum of non-supersymmetric AdS ₅ solutions of M-theory compactified on Kähler-Einstein spaces Martin, Jonathan E.; Reall, Harvey S. Journal of High Energy Physics, Vol. 2009, Issue 03 https://doi.org/10.1088/1126-6708/2009/03/002	journal	March 2009
Type IIA AdS ₄ compactifications on cosets, interpolations and domain walls Koerber, Paul; Lüst, Dieter; Tsimpis, Dimitrios Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/017	journal	July 2008
New compactifications of 11-dimensional supergravity Imaanpur, Ali Classical and Quantum Gravity, Vol. 30, Issue 6 https://doi.org/10.1088/0264-9381/30/6/065021	journal	March 2013

Similar Records

Decay of magnetic fields in Kaluza-Klein theory

Journal Article · Fri Dec 15 00:00:00 EST 1995 · Physical Review, D · OSTI ID:1425382

Dowker, F; Gauntlett, J P; Gibbons, G W; +1 more

Decay of flux vacua to nothing

Journal Article · Fri Oct 01 00:00:00 EDT 2010 · Journal of Cosmology and Astroparticle Physics · OSTI ID:1425382

Blanco-Pillado, Jose J.; Ramadhan, Handhika S.; Shlaer, Benjamin

Consistent Kaluza-Klein reductions and supersymmetric AdS solutions

Journal Article · Tue Nov 20 00:00:00 EST 2007 · AIP Conference Proceedings · OSTI ID:1425382

Gauntlett, Jerome P; Colgain, Eoin O; Varela, Oscar

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Gauge-gravity dualities
M-theory
Strings and branes
particles and fields

Title: New Kaluza-Klein instantons and the decay of AdS vacua

Citation Formats

References (24)

Similar Records

Related Subjects