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$T\bar{T}$-deformation: a lattice approach

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arxiv 2312.12078 v1 pith:GCT4LOV2 submitted 2023-12-19 hep-th nlin.SI

classification hep-thnlin.SI
keywords latticedeformationintegrablemodelfieldintegrabilitylight-conequantum
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abstract

Integrable quantum field theories can be regularized on the lattice while preserving integrability. The resulting theory on the lattice are integrable lattice models. A prototype of such a regularization is the correspondence between sine-Gordon model and 6-vertex model on a light-cone lattice. We propose an integrable deformation of the light-cone lattice model such that in the continuum limit we obtain the $T\bar{T}$-deformed sine-Gordon model. Under this deformation, the cut-off momentum becomes energy dependent while the underlying Yang-Baxter integrability is preserved. Therefore this deformation is integrable but non-local, similar to the $T\bar{T}$-deformation of quantum field theory.

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  1. Symmetries and operators in $T\bar{T}$ deformed CFTs

    hep-th 2025-07 conditional novelty 5.0 of 10

    A new class of local physical operators is constructed in T-bar-deformed CFTs, and their two-point functions reproduce known string theory and field theory results.

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