Neutralizing topological obstructions to bubbles of nothing

Abstract Theories with compact extra dimensions can exhibit a vacuum instability known as a bubble of nothing. These decay modes can be obstructed if the internal manifold is stabilized by fluxes, or if it carries Wilson lines for background gauge fields, or if the instanton is incompatible with the...

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Main Authors: Patrick Draper, Benjamin Lillard, Carissa Skye
Format: Article
Language:English
Published: SpringerOpen 2023-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2023)049
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author Patrick Draper
Benjamin Lillard
Carissa Skye
author_facet Patrick Draper
Benjamin Lillard
Carissa Skye
author_sort Patrick Draper
collection DOAJ
description Abstract Theories with compact extra dimensions can exhibit a vacuum instability known as a bubble of nothing. These decay modes can be obstructed if the internal manifold is stabilized by fluxes, or if it carries Wilson lines for background gauge fields, or if the instanton is incompatible with the spin structure. In each of these cases the decay can proceed by adding dynamical charged membranes or gauge fields. We give a general, bottom-up procedure for constructing approximate bubble of nothing solutions in models with internal spheres stabilized by flux and study the influence of the brane tension on the tunneling exponent, finding two branches of solutions that merge at a minimal superextremal value of the tension. In the case of Wilson operators and incompatible fermions, the relevant bubble is shown to be the Euclidean Reissner-Nordstrom black hole, and the ordinary decay exponent is modified by 1/g 2 effects. We examine the Dirac operator on this background and comment on the relevance for models of supergravity with gauged R-symmetry.
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spelling doaj.art-67f059ad6fd646039da4a98ea9ce70082024-01-28T12:10:32ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231012810.1007/JHEP10(2023)049Neutralizing topological obstructions to bubbles of nothingPatrick Draper0Benjamin Lillard1Carissa Skye2Department of Physics, University of IllinoisDepartment of Physics, University of IllinoisDepartment of Physics, University of IllinoisAbstract Theories with compact extra dimensions can exhibit a vacuum instability known as a bubble of nothing. These decay modes can be obstructed if the internal manifold is stabilized by fluxes, or if it carries Wilson lines for background gauge fields, or if the instanton is incompatible with the spin structure. In each of these cases the decay can proceed by adding dynamical charged membranes or gauge fields. We give a general, bottom-up procedure for constructing approximate bubble of nothing solutions in models with internal spheres stabilized by flux and study the influence of the brane tension on the tunneling exponent, finding two branches of solutions that merge at a minimal superextremal value of the tension. In the case of Wilson operators and incompatible fermions, the relevant bubble is shown to be the Euclidean Reissner-Nordstrom black hole, and the ordinary decay exponent is modified by 1/g 2 effects. We examine the Dirac operator on this background and comment on the relevance for models of supergravity with gauged R-symmetry.https://doi.org/10.1007/JHEP10(2023)049Field Theories in Higher DimensionsSolitons Monopoles and InstantonsFlux CompactificationsWilson’t Hooft and Polyakov loops
spellingShingle Patrick Draper
Benjamin Lillard
Carissa Skye
Neutralizing topological obstructions to bubbles of nothing
Journal of High Energy Physics
Field Theories in Higher Dimensions
Solitons Monopoles and Instantons
Flux Compactifications
Wilson
’t Hooft and Polyakov loops
title Neutralizing topological obstructions to bubbles of nothing
title_full Neutralizing topological obstructions to bubbles of nothing
title_fullStr Neutralizing topological obstructions to bubbles of nothing
title_full_unstemmed Neutralizing topological obstructions to bubbles of nothing
title_short Neutralizing topological obstructions to bubbles of nothing
title_sort neutralizing topological obstructions to bubbles of nothing
topic Field Theories in Higher Dimensions
Solitons Monopoles and Instantons
Flux Compactifications
Wilson
’t Hooft and Polyakov loops
url https://doi.org/10.1007/JHEP10(2023)049
work_keys_str_mv AT patrickdraper neutralizingtopologicalobstructionstobubblesofnothing
AT benjaminlillard neutralizingtopologicalobstructionstobubblesofnothing
AT carissaskye neutralizingtopologicalobstructionstobubblesofnothing