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 |
| Published: |
Springer-Verlag
2012
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| Online Access: | http://hdl.handle.net/1721.1/71992 https://orcid.org/0000-0003-0421-4818 |
| Summary: | 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. |
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