Thomas T. Dumitrescu

Exploring curved superspace

A bstractWe systematically analyze Riemannian manifolds

Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories

\mathcal{M}

Supersymmetric field theories on three-manifolds

that admit rigid supersymmetry, focusing on four-dimensional

Comments on Chern-Simons contact terms in three dimensions

\mathcal{N} = {1}

The geometry of supersymmetric partition functions

theories with a U(1)R symmetry. We find that

Supercurrents and brane currents in diverse dimensions

\mathcal{M}

Localization techniques in quantum field theories

admits a single supercharge, if and only if it is a Hermitian manifold. The supercharge transforms as a scalar on

Anomalies, Renormalization Group Flows, and the a-Theorem in Six-Dimensional (1,0) Theories

\mathcal{M}

Deformations of Superconformal Theories

. We then consider the restrictions imposed by the presence of additional supercharges. Two supercharges of opposite R-charge exist on certain fibrations of a two-torus over a Riemann surface. Upon dimensional reduction, these give rise to an interesting class of supersymmetric geometries in three dimensions. We further show that compact manifolds admitting two supercharges of equal R-charge must be hyperhermitian. Finally, four supercharges imply that

General Messenger Gauge Mediation

\mathcal{M}