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MY RESEARCH
My primary research interests lie in theoretical physics. Presently I am trying to understand and apply gauge/gravity duality, one of the most interesting aspects of string theory. This duality relates d-dimentional field theories to (d+1)-dimensional gravitational systems. Also this is strong-weak duality which means when theory at its one side is weakly coupled the other side is strongly coupled and generically we have very less understanding about strongly coupled theories. This is why it is so hard to prove the duality and this is the reason what makes it so useful!
Here are some different but related research topics I am recently working on.
Dissipation & Holography
My thesis work is based on studying Brownian motion of heavy quark in strongly coupled medium using holography. The main focus is on dissipation at zero temperature. This has a nice physical interpretation as radiation due to accelerating charged particle (bremsstrahlung function). We have also studied Brownian motion in presence of finite charge density.
2D CFTs, Entanglement Entropy & Holography
Reconstructing bulk geometry from CFT is a fascinating program. It is believed that CFTs with large c and sparse spectrum of operators have gravity duals. There are many evidences in the literature. Recently we have shown that n-point conformal blocks factorize in "heavy-light" limit. The computations are done in the 2D CFT using monodromy method and the results have been reproduced from the 3D bulk world-line configurations. Our result is tailor-made for computing entanglement entropy of n-disjoint intervals in excited state.
MERA & Holography
Multi-scale Entanglement Renormalization Ansatz (MERA) made its first appearance as an economical (numerical) technique for obtaining many-body ground state. There are many hints which suggest that MERA is very closely related to holography. Actually it connects quantum information, many-body physics and quantum gravity - three apparently distinct branches of theoretical physics - together. Recently I am trying to understand MERA analytically which will hopefully be very useful in exploring its connection to holography.
Publications
A list of my publications can be found here : Inspire Arxiv
Writings
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My post M.Sc. project work on AdS Space and Thermal Correlators. PDF
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Some basics of AdS/CFT -- notes based on evening lecture given at Student Talks on Trending Topics in Theory (ST^4) 2017 at CMI. Primarily focused on Maldacena's decoupling argument. PDF
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AdS/CFT : a micro-course -- notes based on a series of informal lectures given at STRinG (String Theory Reading in Group) at IMSc. The aim was to introduce the basic ideas of gauge/gravity duality in a few talks. (write up coming soon!)