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T\bar{T} deformations and integrable spin chains

Enrico Marchetto, Alessandro Sfondrini, Zhou Yang

27/11/19 Published in : arXiv:1911.12315

We consider current-current deformations that generalise T\bar{T} ones, and show that they may be also introduced for integrable spin chains. In analogy with the integrable QFT setup, we define the deformation as a modification of the S matrix in the Bethe equations. Using results by Bargheer, Beisert and Loebbert we show that the deforming operator is composite and constructed out of two currents on the lattice; its expectation value factorises like for T\bar{T}. Such a deformation may be considered for any combination of charges that preserve the model's integrable structure.

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Phase I & II research project(s)

  • String Theory

Flow equations for generalised T\bar{T} deformations

Multi-particle finite-volume effects for hexagon tessellations

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