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

For 3-dimensional field theories with\(\mathcal {N}= 2\) supersymmetry the Euclidean path
integrals on the three-sphere can be calculated using the method of localization; they …

Abstract We study Euclidean 3D\(\mathcal {N}= 2\) supersymmetric gauge theories on
squashed three-spheres preserving isometries SU (2)× U (1) or U (1)× U (1). We show that …

A bstract Many three-dimensional\(\mathcal {N}= 2\) SCFTs admit a universal partial
topological twist when placed on hyperbolic Riemann surfaces. We exploit this fact to derive …

We investigate a squashing deformation of 3D N= 2 supersymmetric theories on three-
sphere, which have four supercharges. The deformation preserves SU (2) L× U (1) r …

A bstract We study the logarithmic corrections to various CFT partition functions in the
context of the AdS 4/CFT 3 correspondence for theories arising on the worldvolume of M2 …

A bstract In this paper, we calculate the topological free energy for a number of\(\mathcal
{N}\)≥ 2 Yang-Mills-Chern-Simons-matter theories at large N and fixed Chern-Simons …

A bstract We study the S 1×\({\Sigma} _ {\mathfrak {g}}\) topologically twisted index and the
squashed sphere partition function of various 3d\(\mathcal {N}\)≥ 2 holographic …

The thermodynamics and weak cosmic censorship conjecture in extended phase spaces of
charged anti-de Sitter black holes describing the massive gravity are investigated by the …

We present the gravity dual to a class of three-dimensional N= 2 supersymmetric gauge
theories on a U (1)× U (1)-invariant squashed three-sphere, with a non-trivial background …