PU High Energy Theory Seminar

TTbar-deformed Modular Forms

This talk will be held on Zoom:
https://princeton.zoom.us/j/97195348538?pwd=bEhjczRmbnNIZjNydFpYQXN0bXZWQT09

Abstract: Certain objects of conformal field theory, for example partition functions on the rectangle and the torus, and one-point functions on the torus, are either invariant or transform simply under the modular group, properties which should be preserved under the TTbar deformation. The formulation and proof of this statement in fact extends to more general functions such as TTbar-deformed modular and Jacobi forms. We show that the deformation acts simply on their Mellin transform, multiplying it by a universal entire function. Finally we show that Maass forms on the torus are eigenfunctions of the TTbar deformation.

Date & Time

April 11, 2022 | 2:30pm – 4:00pm

Location

via Zoom

Speakers

John Cardy

Affiliation

University of California, Berkeley

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