While the canonical formulation of graviton perturbation theory is
calculationally complex, the freedoms of nonlinear field
redefinition and gauge fixing allow for immense simplification and
the uncovering of new structures in perturbative gravity...
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...
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...
One of the great mysteries in computational condensed matter
physics is the remarkable practical success of the Density Matrix
Renormalization Group (DMRG) algorithm, since its invention a
quarter century ago, for finding low energy states of 1D...
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...
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...
Gauging of bosonic and fermionic symmetry protected topological
(SPT) states with discrete symmetry produces simple yet non-trivial
topological quantum field theories (TQFTs). Some of the natural
observables in such TQFTs are expectation values of...
The traversable wormhole protocol of Gao, Jafferis and Wall gives
us a glimpse behind the horizon of certain black holes. I will
describe this effect and discuss some limited applications to the
black hole information problem. Based on a recent...
