Physics

The vacuum state reduced to a region of the space gives a density matrix which can be written in a thermal-like form. In this "thermal" density matrix the role of the Hamiltonian is played by the so called entanglement or modular Hamiltonian...

Conformal invariance allows additional unique parity-odd tensor-structures for three-point functions involving the stress tensor, T, and a conserved U(1) current, j, in 2+1 dimensional conformal field theories that violate parity, apart from the...

I will give an overview of the integrability-based approach to study correlation functions in planar N=4 SYM. The basic strategy is to "divide and conquer": We decompose the correlators of single-trace operators into fundamental objects called...

I will present a general argument for the local bound on the null-null component of the stress tensor in a QFT called the Quantum Null Energy Condition. The argument involves the study of correlation functions of operators undergoing modular...

The weak gravity conjecture (WGC) is a proposed bound on the mass of a charged particle in a consistent low-energy effective theory. We study quantum corrections to black hole entropy arising from a charged but WGC-violating scalar. In particular...

A complete and universal equivalence between soft theorems inquantum field theories and asymptotic symmetries in flat spacetimes has recently emerged. We review these developments and show that the equivalence also extends to theories with higher...

This talk addresses the problem of counting the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a particular BPS class of AdS2 x S2 near-horizon geometry in N=2 gauged...

I will give an elementary introduction to neural network models commonly used in deep learning. These include feed-forward neural networks, recurrent neural networks and memory models. If time permits, a few open problems in the field will also be...