Non-relativistic duality and TTbar deformations

Abstract: Starting with some particular physical theory, we are often interested in then exploring the space of all physical theories either by adding deformations or taking limits. I will describe a connection between two seemingly unrelated such explorations. The first is the TTbar deformation of two-dimensional field theories. The second is the non-relativistic limit of string theory. It is well-known that the TTbar deformation of D free bosons leads to the Nambu-Goto action in D+2 dimensions; I will explain how the limit where the deformation parameter returns to zero can be viewed as a non-relativistic limit of the string. In order to describe and generalise this correspondence, I will use intuition gained from the O(D,D) covariant "doubled" formulation of string theory geometry. This is natural here as TTbar deformations can be viewed as TsT or bivector transformations, while non-relativistic limits which are singular in terms of the standard spacetime geometry become well-defined in terms of doubled variables. Time permitting I will say something about possible generalisations using exceptional geometry.

Based on: arxiv.org/abs/2002.12413

HEP - theory

Audience: researchers in the topic

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