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\( \mathcal{N} = {1} \) sigma models in AdS4

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Abstract

We study sigma models in AdS4 with global \( \mathcal{N} = {1} \) supersymmetry and find that they differ significantly from their flat-space cousins — the target space is constrained to be a Kähler manifold with an exact Kähler form, the superpotential transforms under Kähler 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 Kähler class is also required for the sigma model to arise as a decoupling limit of \( \mathcal{N} = {1} \) 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 \( \mathcal{N} = {1} \) AdS4 vacua stabilized near large volume; we also present a schematic argument that the Affleck-Dine-Seiberg runaway of N f   < N c SQCD can be regulated by considering the theory in AdS4.

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Authors and Affiliations

  1. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Allan Adams

  2. Department of Physics, Stanford University, Stanford, CA, 94305-4060, USA

    Hans Jockers

  3. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93106, USA

    Hans Jockers, Vijay Kumar & Joshua M. Lapan

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  1. Allan Adams
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  2. Hans Jockers
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  3. Vijay Kumar
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Correspondence to Hans Jockers.

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ArXiv ePrint: 1104.3155

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Adams, A., Jockers, H., Kumar, V. et al. \( \mathcal{N} = {1} \) sigma models in AdS4 . J. High Energ. Phys. 2011, 42 (2011). https://doi.org/10.1007/JHEP12(2011)042

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