The Space of Integrable Systems from Generalised $T\bar{T}$-Deformations

TY - JOUR

T1 - The Space of Integrable Systems from Generalised $T\bar{T}$-Deformations

AU - Doyon, Benjamin

AU - Durnin, Joseph

AU - Yoshimura, Takato

PY - 2022/9/28

Y1 - 2022/9/28

N2 - We introduce an extension of the generalised T\bar{T}TT‾-deformation described by Smirnov-Zamolodchikov, to include the complete set of extensive charges. We show that this gives deformations of S-matrices beyond CDD factors, generating arbitrary functional dependence on momenta. We further derive from basic principles of statistical mechanics the flow equations for the free energy and all free energy fluxes. From this follows, without invoking the microscopic Bethe ansatz or other methods from integrability, that the thermodynamics of the deformed models are described by the integral equations of the thermodynamic Bethe-Ansatz, and that the exact average currents take the form expected from generalised hydrodynamics, both in the classical and quantum realms.

AB - We introduce an extension of the generalised T\bar{T}TT‾-deformation described by Smirnov-Zamolodchikov, to include the complete set of extensive charges. We show that this gives deformations of S-matrices beyond CDD factors, generating arbitrary functional dependence on momenta. We further derive from basic principles of statistical mechanics the flow equations for the free energy and all free energy fluxes. From this follows, without invoking the microscopic Bethe ansatz or other methods from integrability, that the thermodynamics of the deformed models are described by the integral equations of the thermodynamic Bethe-Ansatz, and that the exact average currents take the form expected from generalised hydrodynamics, both in the classical and quantum realms.

KW - General Physics and Astronomy

U2 - 10.21468/scipostphys.13.3.072

DO - 10.21468/scipostphys.13.3.072

M3 - Article

SN - 2542-4653

VL - 13

JO - SciPost Physics

JF - SciPost Physics

IS - 3

M1 - 072

ER -