Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2015)054
Keywords
Large Extra Dimensions; Solitons Monopoles and Instantons; Effective field theories
Categories
Funding
- Natural Sciences and Engineering Research Council (NSERC) of Canada
- National Science Foundation of Belgium (FWO)
- Belgian Federal Science Policy Office through the Inter-University Attraction Pole [P7/37]
- European Science Foundation through the Holograv Network
- COST Action [MP1210]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Information (MRI)
- National Science Foundation [NSF PHY11-25915, PHYS-1066293]
- Abdus Salam International Centre for Theoretical Physics (ICTP)
- Aspen Center for Physics
- Kavli Institute for Theoretical Physics (KITP)
- Ludwig-Maximilian Universitat
- Max-Planck Institute Garsching
- NYU Center for Cosmology and Particle Physics (CCPP)
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We study how codimension-two objects like vortices back-react gravitationally with their environment in theories (such as 4D or higher-dimensional supergravity) where the bulk is described by a dilaton-Maxwell-Einstein system. We do so both in the full theory, for which the vortex is an explicit classical 'fat brane' solution, and in the effective theory of 'point branes' appropriate when the vortices are much smaller than the scales of interest for their back-reaction (such as the transverse Kaluza-Klein scale). We extend the standard Nambu-Goto description to include the physics of flux-localization wherein the ambient flux of the external Maxwell field becomes partially localized to the vortex, generalizing the results of a companion paper [10] to include dilaton-dependence for the tension and localized flux. In the effective theory, such flux-localization is described by the next-to-leading effective interaction, and the boundary conditions to which it gives rise are known to play an important role in how (and whether) the vortex causes supersymmetry to break in the bulk. We track how both tension and localized flux determine the curvature of the space-filling dimensions. Our calculations provide the tools required for computing how scale-breaking vortex interactions can stabilize the extra-dimensional size by lifting the dilaton's flat direction. For small vortices we derive a simple relation between the near-vortex boundary conditions of bulk fields as a function of the tension and localized flux in the vortex action that provides the most efficient means for calculating how physical vortices mutually interact without requiring a complete construction of their internal structure. In passing we show why a common procedure for doing so using a delta-function can lead to incorrect results. Our procedures generalize straightforwardly to general co-dimension objects.
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