Macroscopic computation of the degeneracy/index of a BPS black hole requires carrying out
string theory path integral over the near horizon geometry of the black hole. It has been …

A bstract We describe conformal defects of p dimensions in a free scalar theory on a d-
dimensional flat space as boundary conditions on the conformally flat space ℍ p+ 1× 𝕊 d …

Quantum study of supersymmetric theories on Euclidean two dimensional anti–de Sitter
space (AdS 2) is invalid if we use the standard normalizable functional basis due to its …

A bstract We develop the formalism of supersymmetric localization in supergravity using the
deformed BRST algebra defined in the presence of a supersymmetric background as …

A bstract We consider 4d\(\mathcal {N}\)= 1 gauge theories with R-symmetry on a
hemisphere times a torus. We apply localization techniques to evaluate the exact partition …

We introduce the topologically twisted index for four-dimensional N= 1 gauge theories
quantized on AdS 2× S 1. We compute the index by applying supersymmetric localization to …

A bstract We find a one-dimensional protected subsector of\(\mathcal {N}\)= 4 matter theories
on a general class of three-dimensional manifolds. By means of equivariant localization we …

A bstract We continue the effort of defining and evaluating the quantum entropy function for
supersymmetric black holes in 4d\(\mathcal {N}\)= 2 gauged supergravity, initiated in [1]. The …

We derive the partition function of an N= 2 chiral multiplet on topologically twisted H 2× S 1.
The chiral multiplet is coupled to a background vector multiplet encoding a real mass …

A bstract We develop the method of Green's function to evaluate the one loop determinants
that arise in localization of supersymmetric field theories on AdS spaces. The theories we …