Physics

In this talk I will explore the constraints imposed by conformal invariance on defects in a conformal field theory. Correlation function of a conformal defect with a bulk local operator is fixed by conformal invariance up to an overall constant...

Abstract:The replica trick plays an important role in several considerations of condensed matter physics and statistical physics. Recently, it has also played a role in several contexts in high energy theory and holography. We discuss some of the...

There is an interesting duality in (2+1)d between theories of interacting bosons and U(1) gauge theories with bosonic charge, also known as charge-vortex duality. This duality is very useful for theoretically accessing various strongly interacting...

I will discuss the recent work on the quantum statistics of particle and loop-like string excitations in 3+1D.It is known that the quantum statistics of particles in 2+1D begets

I review the use of maximal unitarity at two loops, and how to phrase it in terms of multivariate contour integrals. I show how to use maximal unitarity to reconstruct the ABDK relation between one- and two-loop amplitudes with four and five...

Some papers:

We consider the question of whether the leading contribution to the entanglement entropy in holographic CFTs is truly given by the expectation value of a linear operator as is suggested by the Ryu-Takayanagi formula. We investigate this property by...

I would like to discuss the problem of categorification of Chern-Simons partition function on closed 3-manifolds. Physics constructions of Khovanov knot homology, which categorifies Jones polynomial, suggests that there should be a generalization to...

We study 2d (0,2) quiver gauge theories on the world-volume of D1-branes probing singular toric Calabi-Yau 4-folds. The gauge theories for arbitrary toric singularities are constructed by means of partial resolution. Each gauge theory is expected to...

Quantum mechanics is distinguished by three essential features: the Hugeness of Hilbert Space, I.e., the capacity for exponential complexity; the phenomenon of Entanglement; and the duality between Wave Function Collapse and Everett's