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$T\bar{T}$ deformed scattering happens within matrices

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arxiv 2209.11753 v2 pith:K3EIPQLJ submitted 2022-09-23 hep-th

classification hep-th
keywords deformationdependencematricestwo-dimensionalactionarbitrarychalmers-siegelcorrelation
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abstract

We show the $T\bar{T}$ deformation of two-dimensional quantum field theories is equivalent to replacing the spacetime dependence of the fields with dependence on the indices of infinitely large matrices. We show how this correspondence explains the CDD phase dressing of the $S$-matrix and the general formula for the deformation of arbitrary correlation functions. We also describe how the Moyal deformation of self-dual gravity is a $T\bar{T}$ deformation of the theory described by the Chalmers-Siegel action, where the $T\bar{T}$ deformation is defined on the two-dimensional plane of interactions.

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  1. Holography with Null Boundaries

    hep-th 2025-06 conditional novelty 7.0 of 10

    D1-D5-F1 string theory in a non-commutative decoupling limit yields a holographic correspondence for spacetimes with a null boundary, interpolating between AdS3 and a six-dimensional asymptotic metric.

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