N = 1 sigma models in AdS[subscript 4]

• Main Authors: Adams, Allan (Contributor), Jockers, Hans (Author), Kumar, Vijay (Author), Lapan, Joshua M. (Author)
• Other Authors: Massachusetts Institute of Technology. Department of Physics (Contributor)
• Format: Article
• Language: English
• Published: Springer-Verlag, 2012-08-06T19:36:06Z.
• Subjects: Article
• Online Access: Get fulltext

 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.