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arXiv · 2104.04355

Hamiltonian integrability of the webs of integrable theories

George Georgiou
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Abstract

We present the Hamiltonian formulation of the recently constructed integrable theories of arXiv:2006.12525. These theories turn out to be canonically equivalent to the sum of an asymmetrically gauged CFT and of the most general $\lambda$-deformed model of arXiv:1812.04033. Using the Hamiltonian formalism, we prove that the full set of conserved charges of the models of arXiv:2006.12525 are in involution, ensuring their Hamiltonian integrability. Finally, we show that the equations of motion of these theories can be put in the form of zero curvature Lax connections.

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George Georgiou. 2021-04-09. Hamiltonian integrability of the webs of integrable theories. https://doi.org/10.1016/j.nuclphysb.2021.115474

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