Research

Here is an up-to-date list of publications of mine courtesy SPIRES and an atom feed from the arXiv.

I plan on adding notes on various topics that I am currently working on. I will try to make the notes accessible to graduate students though no particular attempt will be made at pedagogy.

  • Ricci-Flat metrics: I have been involved in a project on finding explicit Ricci-Flat metrics for the resolution of singular spaces such as orbifolds of the form \mathbb{C}^3/\Gamma, where \Gamma is any discrete sub-group of SU(3) or cones over spaces such as Y^{p,q} and L^{p,q,r}.
  • Black rings in AdS
  • Counting of BPS states in field theory and string/M theory. In a couple of papers, arXiv:0807.4451 and arXiv:0907.1410, my student Gopala Krishna and I showed the existence of generalized Kac-Moody algebras (some new and some originally discovered by Gritsenko and Nikulin) whose denominator formulae are genus-two modular forms that appearing in the counting of 1/4 BPS dyons in CHL string theory
  • Leigh-Strassler deformed \mathcal{N}=4 SYM theory: Chiral primaries and spin-chains; find the gravity dual to LS theory. Along with my student Pramod, using the spin-chain approach we have verified a conjecture on the spectrum of chiral primaries up to dimension 9 operators. This will be appearing soon.
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