PU High Energy Theory Seminar

A Dispersion Relation for Bootstrapping Holographic Defect Correlators

This talk will be held in-person in Jadwin Hall, PCTS Room 407 and on Zoom:
https://princeton.zoom.us/j/97248927011?pwd=SWFiNWFwZWE5SUR4OUxvV0ZacVdWQT09

Abstract: Tremendous progress has been achieved during the last years in bootstrapping conformal correlators at strong coupling using analytical bootstrap methods and the AdS/CFT correspondence. In particular, the development of Lorentzian inversion formulae revealed helpful in reconstructing four-point functions. In this talk I will present how this technology can be adapted to defect setups in order to compute scalar two-point functions in the presence of a conformal defect in the strong-coupling regime. We derived a dispersion relation that allows to efficiently generate elegant closed-form expressions for a variety of setups, and in particular we apply this method to two-point functions of single-trace half-BPS operators in the presence of the supersymmetric Wilson line defect in 4d N=4 SYM, using minimal input from holography.

Date & Time

November 22, 2022 | 2:00pm – 3:00pm

Location

Jadwin Hall, PCTS Room 407 & Zoom

Speakers

Julien Barrat

Affiliation

Humboldt University of Berlin

Categories

Tags