Perturbations to generalized kink-like topological defects in AdS
We explore perturbations to a kink-like (codimension 1) topological defect whose world brane is AdSq embedded into AdSq+1. Previously, we found solutions in the limit the mass of the scalar field vanishes. In this article we extend a calculation previously done in AdS2 to higher-dimensional embeddin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-09-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319302020 |
| Summary: | We explore perturbations to a kink-like (codimension 1) topological defect whose world brane is AdSq embedded into AdSq+1. Previously, we found solutions in the limit the mass of the scalar field vanishes. In this article we extend a calculation previously done in AdS2 to higher-dimensional embedding spaces and find that all perturbations to the mass of the field are stable to first order as expected in a theory with topological defects. We find that the equation of motion to the correction strongly resembles a problem well-known in quantum mechanics. |
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| ISSN: | 0550-3213 |