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Aramini, Fabrizio; Brizio, Nicolò; Negro, Stefano; Tateo, Roberto (, Journal of High Energy Physics)A bstract The ODE/IM correspondence is an exact link between classical and quantum integrable models. The primary purpose of this work is to show that it remains valid after $$ \textrm{T}\overline{\textrm{T}} $$ T T ¯ perturbation on both sides of the correspondence. In particular, we prove that the deformed Lax pair of the sinh-Gordon model, obtained from the unperturbed one through a dynamical change of coordinates, leads to the same Burgers-type equation governing the quantum spectral flow induced by $$ \textrm{T}\overline{\textrm{T}} $$ T T ¯ . Our main conclusions have general validity, as the analysis may be easily adapted to all the known ODE/IM examples involving integrable quantum field theories.more » « less
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Dorey, Patrick; Dunning, Clare; Negro, Stefano; Tateo, Roberto (, Journal of Physics A: Mathematical and Theoretical)
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Conti, Riccardo; Negro, Stefano; Tateo, Roberto (, Journal of High Energy Physics)
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