N = 1 sigma models in AdS[subscript 4]
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Author(s)
Adams, Allan
Jockers, Hans
Kumar, Vijay
Lapan, Joshua M.
Date Issued
December 2011
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Adams, Allan et al. “$ \mathcal{N} = {1} $ sigma models in AdS4.” Journal of High Energy Physics 2011.12 (2011).
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/jhep12(2011)042
