This is an introductory review to localization techniques in supersymmetric two-dimensional
gauge theories. In particular, we describe how to construct Lagrangians of $\newcommand …

We consider degrees of freedom for a quantum de Sitter spacetime. The problem is studied
from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we …

A bstract We construct two-dimensional supergravity theories endowed with a positive
cosmological constant, that admit de Sitter vacua. We consider the cases of\(\mathcal {N}\) …

A bstract We study 5d supersymmetric black holes which descend from strings of
generic\(\mathcal {N}=\left (1,\kern0. 5em 0\right)\) supergravity in 6d. These strings have an …

What follows is a broad-brush overview of the recent synergistic interactions between
mathematics and theoretical physics of quantum field theory and string theory. The …

A bstract We study the dependence of supersymmetric partition functions on continuous
parameters for the flavor symmetry group, GF, for 2d\(\mathcal {N}\)=(0, 2) and 4d\(\mathcal …

We consider topologically twisted $\mathcal {N}= 2$, $ SU (2) $ gauge theory with a massive
adjoint hypermultiplet on a smooth, compact four-manifold $ X $. A consistent formulation …

Recently, 23 cases of umbral moonshine, relating mock modular forms and finite groups,
have been discovered in the context of the 23 even unimodular Niemeier lattices. One of the …

The study of black holes in string theory has led to the discovery of deep and surprising
connections between black holes and modular forms--which are two classical, a priori …

In this paper, we address the following two closely related questions. First, we complete the
classification of finite symmetry groups of type IIA string theory on K3 * R^ 6 K 3× R 6, where …