An abiding research interest of mine has been Conformal Field Theory (CFT). CFTs are special quantum field theories (QFTs) possessing scale invariance. They arise as fixed points of Renormalisation Group flow in the space of general QFTs. Because of the enhanced symmetries, and the existence of structures like the Operator Product Expansion, it is possible to constrain/classify possible CFTs using consistency conditions such as crossing symmetry, unitarity and causality – this is the conformal bootstrap program. CFTs also find wide applicability in various areas of theoretical physics including cosmology, particle physics, holography, condensed matter and statistical physics.
I have recently worked on momentum space correlators in 3d CFTs. I am also interested in exploring its connections to cosmological correlators.
- Higher spin 3-point functions in 3d CFT using spinor-helicity variables, with S. Jain, R. R. John, A. Mehta and A. Suresh, published in Journal of High Energy Physics, JHEP 09(2021)041.
- Double Copy structure of parity-violating 3d CFT correlators, with S. Jain,R. R. John, A. Mehta and A. Suresh, JHEP 07(2021)033.
- Momentum space parity-odd CFT 3-point functions, with S. Jain, R. R. John, A. Mehta and A. Suresh, JHEP 08(2021)089.
- Superconformal invariants and spinning correlators in 3d N=2 SCFTs, with PhD student Aditya Jain. [EPJ C 82 (2022) 11, 1065]
I am also interested in topics in quantum many body theory such as quantum chaos. Recent work here includes studies of K-complexity and quantum chaos in Floquet systems:
- Krylov construction and complexity for driven quantum systems, with Ankit W. Shrestha (UG 4th year student) [arXiv: quant-ph/2305.00256]
- Quantum chaos measures for Floquet dynamics, Amin A. Nizami [arXiv: quant-ph/2007.07283]
I intend to take a PhD student in summer 2023. Interested students can apply here.
- Postdoctoral Researcher, (2014-2018) International Centre for Theoretical Sciences (ICTS-TIFR).
- PhD (2010-2014), DAMTP, University of Cambridge.