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

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 2; Related Information: CHORUS Timestamp: 2017-07-19 22:12:11; Journal ID: ISSN 2470-0010
American Physical Society
Country of Publication:
United States

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. 2017. "New Kaluza-Klein instantons and the decay of AdS vacua". United States. doi:10.1103/PhysRevD.96.026016.
title = {New Kaluza-Klein instantons and the decay of AdS vacua},
author = {Ooguri, Hirosi and Spodyneiko, Lev},
abstractNote = {},
doi = {10.1103/PhysRevD.96.026016},
journal = {Physical Review D},
number = 2,
volume = 96,
place = {United States},
year = 2017,
month = 7

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 19, 2018
Publisher's Accepted Manuscript

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  • Magnetic fields in five-dimensional Kaluza-Klein theory compactified on a circle correspond to ``twisted`` identifications of five-dimensional Minkowski space. We show that a five-dimensional generalization of the Kerr solution can be analytically continued to construct an instanton that gives rise to two possible decay modes of a magnetic field. One decay mode is the generalization of the ``bubble decay`` of the Kaluza-Klein vacuum described by Witten. The other decay mode, rarer for weak fields, corresponds in four dimensions to the creation of monopole-antimonopole pairs. An instanton for the latter process is already known and is given by the analytic continuation ofmore » the Kaluza-Klein Ernst metric, which we show is identical to the five-dimensional Kerr solution. We use this fact to illuminate further properties of the decay process. It appears that fundamental fermions can eliminate the bubble decay of the magnetic field, while allowing the pair produciton of Kaluza-Klein monopoles. {copyright} 1995 The American Physical Society.« less
  • We study the consequences of the gravitino decay into dark matter. We suppose that the lightest neutralino is the main component of dark matter. In our framework the gravitino is heavy enough to decay before big bang nucleosynthesis starts. We consider a model coming from a five dimensional supergravity compactified on S{sup 1}/Z{sub 2} with gravity in the bulk and matter localized on tensionless branes at the orbifold fixed points. We require that the dark matter, which is produced thermally and in the decay of Kaluza-Klein modes of the gravitino, has an abundance compatible with observation. We deduce from ourmore » model that there are curves of constraints between the size of the extra dimension and the reheating temperature of the Universe after inflation.« less
  • We study instanton solutions and superpotentials for the large number of vacua of the plane-wave matrix model and a 2+1 dimensional Super Yang-Mills theory on RxS{sup 2} with 16 supercharges. We get the superpotential in the weak-coupling limit from the gauge theory description. We study the gravity description of these instantons. Perturbatively, with respect to a background, they are Euclidean branes wrapping cycles in the dual gravity background. Moreover, the superpotential can be given by the energy of the electric charge system characterizing each vacuum. These charges are interpreted as the eigenvalues of matrices from a reduction for the 1/8more » BPS sector of the gauge theories. We also discuss qualitatively the emergence of the extra spatial dimensions appeared on the gravity side.« less
  • Kaluza-Klein model on M{sup 4} {times} S{sup 1} with SU(N) gauge fields and N{sub f} fermions in fundamental representation is considered. It is noted that on one-loop level the lowest state of this theory corresponds to effective four-dimensional theory which has no massless fermions. This statement does not depend on fermion boundary conditions. The state with massless four-dimensional fermions is metastable. In this paper it is shown that this metastable states can be stabilized by effects of classical gravitation. The same problem of metastability of states with zero fermionic modes can appear in more realistic superstring compactification models and thesemore » effects of classical gravitation can resolve this problem of metastability.« less