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 |
| _version_ | 1811268987906949120 |
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| author | Orlando Alvarez Matthew Haddad |
| author_facet | Orlando Alvarez Matthew Haddad |
| author_sort | Orlando Alvarez |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T21:34:00Z |
| format | Article |
| id | doaj.art-e25aedce09ff44d5a1c5342573337532 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-12T21:34:00Z |
| publishDate | 2019-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-e25aedce09ff44d5a1c53425733375322022-12-22T03:15:58ZengElsevierNuclear Physics B0550-32132019-09-01946Perturbations to generalized kink-like topological defects in AdSOrlando Alvarez0Matthew Haddad1Department of Physics, University of Miami, 1320 Campo Sano Ave, Coral Gables, FL 33146, USACorresponding author.; Department of Physics, University of Miami, 1320 Campo Sano Ave, Coral Gables, FL 33146, USAWe 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.http://www.sciencedirect.com/science/article/pii/S0550321319302020 |
| spellingShingle | Orlando Alvarez Matthew Haddad Perturbations to generalized kink-like topological defects in AdS Nuclear Physics B |
| title | Perturbations to generalized kink-like topological defects in AdS |
| title_full | Perturbations to generalized kink-like topological defects in AdS |
| title_fullStr | Perturbations to generalized kink-like topological defects in AdS |
| title_full_unstemmed | Perturbations to generalized kink-like topological defects in AdS |
| title_short | Perturbations to generalized kink-like topological defects in AdS |
| title_sort | perturbations to generalized kink like topological defects in ads |
| url | http://www.sciencedirect.com/science/article/pii/S0550321319302020 |
| work_keys_str_mv | AT orlandoalvarez perturbationstogeneralizedkinkliketopologicaldefectsinads AT matthewhaddad perturbationstogeneralizedkinkliketopologicaldefectsinads |