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Title: Bubbles of nothing and supersymmetric compactifications

Abstract

We investigate the non-perturbative stability of supersymmetric compactifications with respect to decay via a bubble of nothing. We show examples where this kind of instability is not prohibited by the spin structure, i.e., periodicity of fermions about the extra dimension. However, such “topologically unobstructed” cases do exhibit an extra-dimensional analog of the well-known Coleman-De Luccia suppression mechanism, which prohibits the decay of supersymmetric vacua. We demonstrate this explicitly in a four dimensional Abelian-Higgs toy model coupled to supergravity. The compactification of this model to M{sub 3}×S{sub 1} presents the possibility of vacua with different windings for the scalar field. Away from the supersymmetric limit, these states decay by the formation of a bubble of nothing, dressed with an Abelian-Higgs vortex. We show how, as one approaches the supersymmetric limit, the circumference of the topologically unobstructed bubble becomes infinite, thereby preventing the realization of this decay. This demonstrates the dynamical origin of the decay suppression, as opposed to the more familiar argument based on the spin structure. We conjecture that this is a generic mechanism that enforces stability of any topologically unobstructed supersymmetric compactification.

Authors:
 [1];  [2];  [3];  [4];  [5];  [2];  [5]
  1. IKERBASQUE, Basque Foundation for Science, 48011, Bilbao (Spain)
  2. (Spain)
  3. Department of Physics, University of Auckland,Private Bag 92019, Auckland (New Zealand)
  4. (United States)
  5. Department of Theoretical Physics, University of the Basque Country UPV/EHU,48080 Bilbao (Spain)
Publication Date:
Sponsoring Org.:
SCOAP3, CERN, Geneva (Switzerland)
OSTI Identifier:
22572159
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 10; Other Information: PUBLISHER-ID: JCAP10(2016)002; OAI: oai:repo.scoap3.org:17552; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BUBBLES; COMPACTIFICATION; FERMIONS; FOUR-DIMENSIONAL CALCULATIONS; PARTICLE DECAY; QUANTUM COSMOLOGY; SCALAR FIELDS; STRING THEORY; SUPERGRAVITY; SUPERSYMMETRY; VACUUM STATES; VORTICES

Citation Formats

Blanco-Pillado, Jose J., Department of Theoretical Physics, University of the Basque Country UPV/EHU,48080 Bilbao, Shlaer, Benjamin, Institute of Cosmology, Department of Physics and Astronomy,Tufts University, Medford, MA 02155, Sousa, Kepa, Instituto de Fisica Teorica UAM-CSIC, Universidad Autonoma de Madrid,Cantoblanco, 28049 Madrid, and Urrestilla, Jon. Bubbles of nothing and supersymmetric compactifications. United States: N. p., 2016. Web. doi:10.1088/1475-7516/2016/10/002.
Blanco-Pillado, Jose J., Department of Theoretical Physics, University of the Basque Country UPV/EHU,48080 Bilbao, Shlaer, Benjamin, Institute of Cosmology, Department of Physics and Astronomy,Tufts University, Medford, MA 02155, Sousa, Kepa, Instituto de Fisica Teorica UAM-CSIC, Universidad Autonoma de Madrid,Cantoblanco, 28049 Madrid, & Urrestilla, Jon. Bubbles of nothing and supersymmetric compactifications. United States. doi:10.1088/1475-7516/2016/10/002.
Blanco-Pillado, Jose J., Department of Theoretical Physics, University of the Basque Country UPV/EHU,48080 Bilbao, Shlaer, Benjamin, Institute of Cosmology, Department of Physics and Astronomy,Tufts University, Medford, MA 02155, Sousa, Kepa, Instituto de Fisica Teorica UAM-CSIC, Universidad Autonoma de Madrid,Cantoblanco, 28049 Madrid, and Urrestilla, Jon. Mon . "Bubbles of nothing and supersymmetric compactifications". United States. doi:10.1088/1475-7516/2016/10/002.
@article{osti_22572159,
title = {Bubbles of nothing and supersymmetric compactifications},
author = {Blanco-Pillado, Jose J. and Department of Theoretical Physics, University of the Basque Country UPV/EHU,48080 Bilbao and Shlaer, Benjamin and Institute of Cosmology, Department of Physics and Astronomy,Tufts University, Medford, MA 02155 and Sousa, Kepa and Instituto de Fisica Teorica UAM-CSIC, Universidad Autonoma de Madrid,Cantoblanco, 28049 Madrid and Urrestilla, Jon},
abstractNote = {We investigate the non-perturbative stability of supersymmetric compactifications with respect to decay via a bubble of nothing. We show examples where this kind of instability is not prohibited by the spin structure, i.e., periodicity of fermions about the extra dimension. However, such “topologically unobstructed” cases do exhibit an extra-dimensional analog of the well-known Coleman-De Luccia suppression mechanism, which prohibits the decay of supersymmetric vacua. We demonstrate this explicitly in a four dimensional Abelian-Higgs toy model coupled to supergravity. The compactification of this model to M{sub 3}×S{sub 1} presents the possibility of vacua with different windings for the scalar field. Away from the supersymmetric limit, these states decay by the formation of a bubble of nothing, dressed with an Abelian-Higgs vortex. We show how, as one approaches the supersymmetric limit, the circumference of the topologically unobstructed bubble becomes infinite, thereby preventing the realization of this decay. This demonstrates the dynamical origin of the decay suppression, as opposed to the more familiar argument based on the spin structure. We conjecture that this is a generic mechanism that enforces stability of any topologically unobstructed supersymmetric compactification.},
doi = {10.1088/1475-7516/2016/10/002},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 10,
volume = 2016,
place = {United States},
year = {Mon Oct 03 00:00:00 EDT 2016},
month = {Mon Oct 03 00:00:00 EDT 2016}
}
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