N = 1 sigma models in AdS[subscript 4]
We study sigma models in AdS4 with global N = 1 supersymmetry and find that they differ significantly from their flat-space cousins — the target space is constrained to be a K¨ahler manifold with an exact K¨ahler form, the superpotential transforms under K¨ahler transformations, the space of supe...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Springer-Verlag
2012
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| Online Access: | http://hdl.handle.net/1721.1/71992 https://orcid.org/0000-0003-0421-4818 |
| _version_ | 1826189185548025856 |
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| author | Adams, Allan Jockers, Hans Kumar, Vijay Lapan, Joshua M. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Adams, Allan Jockers, Hans Kumar, Vijay Lapan, Joshua M. |
| author_sort | Adams, Allan |
| collection | MIT |
| description | We study sigma models in AdS4 with global N = 1 supersymmetry and find
that they differ significantly from their flat-space cousins — the target space is constrained
to be a K¨ahler manifold with an exact K¨ahler form, the superpotential transforms under
K¨ahler transformations, the space of supersymmetric vacua is generically a set of isolated
points even when the superpotential vanishes, and the R-symmetry is classically broken by
the cosmological constant. Remarkably, the exactness of the K¨ahler class is also required
for the sigma model to arise as a decoupling limit of N = 1 supergravity, and ensures
the vanishing of gravitational anomalies. As applications of these results, we argue that
fields with AdS4 scale masses are ubiquitous in, for example, type IIB N = 1 AdS4 vacua
stabilized near large volume; we also present a schematic argument that the Affleck-Dine-
Seiberg runaway of Nf < Nc SQCD can be regulated by considering the theory in AdS4. |
| first_indexed | 2024-09-23T08:11:11Z |
| format | Article |
| id | mit-1721.1/71992 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:11:11Z |
| publishDate | 2012 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/719922022-09-30T08:07:34Z N = 1 sigma models in AdS[subscript 4] Adams, Allan Jockers, Hans Kumar, Vijay Lapan, Joshua M. Massachusetts Institute of Technology. Department of Physics Adams, Allan Adams, Allan We study sigma models in AdS4 with global N = 1 supersymmetry and find that they differ significantly from their flat-space cousins — the target space is constrained to be a K¨ahler manifold with an exact K¨ahler form, the superpotential transforms under K¨ahler transformations, the space of supersymmetric vacua is generically a set of isolated points even when the superpotential vanishes, and the R-symmetry is classically broken by the cosmological constant. Remarkably, the exactness of the K¨ahler class is also required for the sigma model to arise as a decoupling limit of N = 1 supergravity, and ensures the vanishing of gravitational anomalies. As applications of these results, we argue that fields with AdS4 scale masses are ubiquitous in, for example, type IIB N = 1 AdS4 vacua stabilized near large volume; we also present a schematic argument that the Affleck-Dine- Seiberg runaway of Nf < Nc SQCD can be regulated by considering the theory in AdS4. United States. Dept. of Energy (contract DE-FC02-94ER40818) 2012-08-06T19:36:06Z 2012-08-06T19:36:06Z 2011-12 Article http://purl.org/eprint/type/JournalArticle 1126-6708 1029-8479 http://hdl.handle.net/1721.1/71992 Adams, Allan et al. “$ \mathcal{N} = {1} $ sigma models in AdS4.” Journal of High Energy Physics 2011.12 (2011). https://orcid.org/0000-0003-0421-4818 en_US http://dx.doi.org/10.1007/jhep12(2011)042 Journal of High Energy Physics Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Springer-Verlag Prof. Adams via Mat Willmott |
| spellingShingle | Adams, Allan Jockers, Hans Kumar, Vijay Lapan, Joshua M. N = 1 sigma models in AdS[subscript 4] |
| title | N = 1 sigma models in AdS[subscript 4] |
| title_full | N = 1 sigma models in AdS[subscript 4] |
| title_fullStr | N = 1 sigma models in AdS[subscript 4] |
| title_full_unstemmed | N = 1 sigma models in AdS[subscript 4] |
| title_short | N = 1 sigma models in AdS[subscript 4] |
| title_sort | n 1 sigma models in ads subscript 4 |
| url | http://hdl.handle.net/1721.1/71992 https://orcid.org/0000-0003-0421-4818 |
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