Supervisor : Prof. Sachin Jain,IISER Pune
• Reviewing papers on Conformal Bootstrap techinques • Developed an understanding of Spinor Helicity Formalism in context of massless and massive particles • Reproduced results from bootstrap methods in context of anharmonic oscillator
Supervisor: Prof. Pichai Ramadevi,IITB
• Built an understanding of Topology, Differential Geometry and Lie Algebra’s • Referring to the existing literature on Conformal Field Theories such as Ginsparg Notes and Yellow Book for CFT • Reviewing Lie Algebra techniques in solving partial differential equations, with focus on Affine Lie Algebra’s • Learning Conformal Bootstrap techniques, solutions of Minimal Models and W - algebra’s
Black Hole Information loss using time dependent harmonic oscillator
(February 2023)
Supervisor: Prof. Pichai Ramadevi,IITB
• Reviewing existing literature on the topic. • Reproduced results of the von Neumann Entropy for ground state entanglement.
Rigged Hilbert Spaces
(January 2023 - Present)
Supervisor: Dr.Ameeya Bhagwat, Centre for Excellence in Basic Sciences
• Developed and understanding of functional analysis, Hilbert spaces,Banach Spaces, Bounded linear maps, Spectral theorem and Measure theory. • Started reading about Gelfand Triples, Sobolev spaces and Nuclear spaces
Black Hole Information Paradox (December 2022)
Supervisor: Prof.Vikram Rentala,IITB
• Developed notions of manifolds, bundles, differential forms, connections, de Rahm Cohomology groups • Reviewed general literature on Einstein Field equations and its solutions in some standard settings • Derived the various Black Hole solutions, with emphasis on Kerr solution and Schwarzchild solution • Started studying Ads/CFT correspondence in different geometries and CFT’s on a cylinder.