Physics

I will briefly review our current experimental knowledge of dark matter and then discuss recent developments in model building. In particular I will show that dark matter can be a thermal relic exponentially lighter than the weak scale without being...

In this talk I will argue that a systematic classification of 4d N=2 superconformal field theories is possible through a careful analysis of the geometry of their Coulomb branches. I will carefully describe this general framework and then carry out...

I will fill in a few details concerning part three of my talk at Natifest.

We discuss the exact determination of correlation functions of local operators in four-dimensional N=2 superconformal field theories.

Phases of quantum many particle systems can have low energy effective field theoretic descriptions in terms of gauge theories in their deconfined phase.
Such emergent gauge theories play a central role in modern theoretical work in condensed matter...

The Ryu-Takayanagi formula and its quantum-corrected version are useful in understanding many aspects of quantum gravity such as subregion duality, emergence of the radial direction, and the generalized second law. In this talk, I will first...

3d {\cal N} = 4 SCFTs have two protected topological sectors, one associated to the Higgs branch and one to the Coulomb branch. I will use supersymmetric localization to derive a Lagrangian description for the 1d sector associated with the Higgs...

I will introduce a technique in studying the analytic structure of perturbative S-matrix of QFTs. The main idea is to associate Feynman integrals to objects in a projective space: polytopes and hypersurfaces. At one loop, this reveals a universal...