A bstract We construct supersymmetric field theories on Riemannian three-
manifolds\(\mathcal {M}\), focusing on\(\mathcal {N}\)= 2 theories with a U (1) R symmetry …

A bstract We consider three-dimensional\(\mathcal {N}= 2\) superconformal field theories on
a threesphere and analyze their free energy F as a function of background gauge and …

A bstract We study contact terms of conserved currents and the energy-momentum tensor in
three-dimensional quantum field theory. They are associated with Chern-Simons terms for …

A bstract We consider supersymmetric field theories on compact manifolds\(\mathcal {M}\)
and obtain constraints on the parameter dependence of their partition functions\({Z …

A bstract We study superconformal and supersymmetric theories on Euclidean four-and
three-manifolds with a view toward holographic applications. Preserved supersymmetry for …

Off-shell higher spin N= 2 supermultiplets in three spacetime dimensions (3D) are presented
in this paper. We propose gauge prepotentials for higher spin superconformal gravity and …

A bstract We consider the S 3× S 1 superconformal index ℐ (τ) of 4d\(\mathcal {N}\)= 1
gauge theories. The Hamiltonian index is defined in a standard manner as the Witten index …

We show that the $3 d $ Born-Infeld theory can be generated via an irrelevant deformation of
the free Maxwell theory. The deforming operator is constructed from the energy-momentum …

A bstract We propose a new off-shell formulation for\(\mathcal {N}\)-extended conformal
supergravity in three spacetime dimensions. Our construction is based on the gauging of …

For general off-shell N= 2 supergravity-matter systems in three spacetime dimensions, a
formalism is developed to reduce the corresponding actions from superspace to …