A bstract We decompose sphere partition functions and indices of three-
dimensional\(\mathcal {N}\)= 2 gauge theories into a sum of products involving a universal …

This paper provides a heuristic derivation of how classical gravitational physics in the
AdS/CFT correspondence appears from the strong dynamics of the Script N= 4 SYM theory …

We study supersymmetric gauge theories on a squashed 3-sphere and. Recent studies
have shown that the partition functions in a class of theories have factorized forms in terms of …

This paper summarizes recent developments in the theory of Bogomol'nyi–Prasad–
Sommerfield (BPS) state counting and the wall crossing phenomena, emphasizing in …

The modified elliptic genus for an M5-brane wrapped on a four-cycle of a Calabi-Yau
threefold encodes the degeneracies of an infinite set of BPS states in four dimensions. By …

Abstract We reconsider Chern–Simons gauge theory on a Seifert manifold M, which is the
total space of a non-trivial circle bundle over a Riemann surface Σ, possibly with orbifold …

Motivated by the recent conjecture of Ooguri, Strominger and Vafa, we compute the semi-
canonical partition function of BPS black holes in Script N= 4 and Script N= 8 string theories …

We develop geometric techniques for counting BPS states in five-dimensional gauge
theories engineered by M theory on a toric Calabi–Yau threefold. The problem is …

These lectures provide a pedagogical, introductory review of the so-called Attractor
Mechanism (AM) at work in two different 4-dimensional frameworks: extremal black holes in …

A bstract A well-motivated conjecture states that the open topological string partition function
on toric geometries in the Nekrasov-Shatashvili limit is annihilated by a difference operator …