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We present a uniform treatment of rigid supersymmetric field theories in a curved spacetime $\mathcal{M}$, focusing on four-dimensional theories with four supercharges. Our discussion is… (More)

We construct supersymmetric field theories on Riemannian three-manifolds M, focusing on N = 2 theories with a U(1)R symmetry. Our approach is based on the rigid limit of new minimal supergravity in… (More)

We systematically analyze Riemannian manifolds M that admit rigid supersymmetry, focusing on four-dimensional N = 1 theories with a U(1)R symmetry. We find that M admits a single supercharge, if and… (More)

We study contact terms of conserved currents and the energy-momentum tensor in threedimensional quantum field theory. They are associated with Chern-Simons terms for background fields. While the… (More)

We consider supersymmetric field theories on compact manifolds M and obtain constraints on the parameter dependence of their partition functions ZM. Our primary focus is the dependence of ZM on the… (More)

We study black hole singularities in the AdS/CFT correspondence. These singulari-ties show up in CFT in the behavior of finite-temperature correlation functions. We first establish a direct relation… (More)

We consider three-dimensional N = 2 superconformal field theories on a three-sphere and analyze their free energy F as a function of background gauge and supergravity fields. A crucial role is played… (More)

We study N = 1 field theories with a U(1)R symmetry on compact four-manifolds M. Supersymmetry requires M to be a complex manifold. The supersymmetric theory on M can be described in terms of… (More)

Quantum gravity in an AdS spacetime is described by an SU(N) Yang-Mills theory on a sphere, a bounded many-body system. We argue that in the high temperature phase the theory is intrinsically… (More)

We derive a quantization formula of Bohr-Sommerfeld type for computing quasinormal frequencies for scalar perturbations in an AdS black hole in the limit of large scalar mass or spatial momentum. We… (More)