Seminar Announcement
Date: Wednesday, 27 September 2023
Time: 11:30 AM
Venue: Lecture Hall 801
Holographic RG from Exact RG
Pavan Dharanipragada
Institute of Mathematical Sciences, Chennai.
27-09-23

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Abstract

The extra dimension in AdS/CFT, which is the radial direction in the bulk has the interpretation of the scale of the boundary theory. The programme of interpreting the bulk radial equations of motion as the boundary RG equations is called Holographic RG. I will present our work which does not assume the AdS/CFT correspondence, and begins with the boundary Wilsonian action, to obtain the bulk action from the exact RG (or Wilsonian RG) of the boundary. I begin with the boundary theory, which is the free O(N) model in 3 dimensions, the AdS dual of which is the Vasilier higher spin theory in 4 dimensions. Deforming this theory with the scalar, vector current, and the energy momentum tensor, triggers an RG evolution. With the Polchinski equation of this action, an evolution operator can be written and reintrepreted as a 4 dimensional functional integral. I will describe the field redefinition that maps this theory to the AdS theory that is local at quadratic level. Then I will show how a local graviton scalar scalar interaction in the bulk can be obtained by suitable approximation.