N=1 Sigma Models in AdS_4

Abstract

We study sigma models in AdS_4 with global N=1 supersymmetry and find that they differ significantly from their flat-space cousins -- the target space is constrained to be a Kahler manifold with an exact Kahler form, the superpotential transforms under Kahler 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 Kahler 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 simple applications of these results, we argue that fields with AdS_4 scale masses are ubiquitous in, for example, type IIB N=1 AdS_4 vacua stabilized near large volume; we also show that the Affleck-Dine-Seiberg runaway of N_f < N_c SQCD is regulated by considering the theory in AdS_4.

32 pages; v2: minor changes and references added; v3: discussion in sect. 5 extended, version published in JHEP

References in corpus (9)

• Causality, Analyticity and an IR Obstruction to UV Completion
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• New supersymmetric AdS4 type II vacua
• Conformal field theories in anti-de Sitter space
• Classes of AdS4 type IIA/IIB compactifications with SU(3)xSU(3) structure
• N=2 AdS supergravity and supercurrents
• Supersymmetric Multi-trace Boundary Conditions in AdS
• Gaugino mass in AdS space

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• Higher spin supercurrents in anti-de Sitter space
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• Localization of twisted $\mathcal{N}=(0,2)$ gauged linear sigma models in two dimensions
• Extended supersymmetric sigma models in AdS_4 from projective superspace
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• Anomaly Mediation from Unbroken Supergravity
• Gromov-Witten invariants and localization
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• Vector-tensor supermultiplets in AdS and supergravity
• Supersymmetric Field Theories on AdS_p x S^q
• Recent developments in 2d $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Curvature Couplings in $\mathcal{N}=(2,2)$ Nonlinear Sigma Models on $S^2$
• The Holographic Contributions to the Sphere Free Energy
• N=(4,4) Vector Multiplets on Curved Two-Manifolds
• Topics in 3D N=2 AdS supergravity in superspace