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 $T\overline T$ deformation. The formulation and proof of this statement in fact extents to more general functions such as $T\overline T$ 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 $T\overline T$ deformation.

John Cardy

Communications in Number Theory and Physics

专注于最广泛意义上的数论在理论物理学中的应用。通过主要发表有关这两个领域之间关系和动态的研究、评论和说明性文章，为数论和理论物理学研究人员之间的交流提供一个论坛。

This journal focuses on the broad applications of number theory in theoretical physics. We primarily publish research, reviews, and expository articles concerning the relationships and dynamics between these two fields, providing a forum for communication among researchers in number theory and theoretical physics.

本期刊专注于数论在理论物理学中的广泛应用。我们主要发表关于这两个领域之间关系和动态的研究、评论和说明性文章，为数论和理论物理学研究人员之间的交流提供一个论坛。

Category	Quartile
数学	3
数学, 数学	3
数学, 应用数学	3
数学, 物理数学物理	3

$T \overline{T}$-deformed modular forms

ivySCI AI Smartly Parses PDF, Answers Researchers' Questions, and Helps You Understand Papers in Seconds

Journal Info

Category	Quartile
PHYSICS, MATHEMATICAL	3