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Hamiltonian dynamics and the hidden symmetries of the AdS_5 x S^5 superstring
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We construct the Lax connection of the Green-Schwarz superstring in AdS_5 x S^5 within the Hamiltonian formalism and obtain precisely that used in 0810.4136. It differs in a crucial way from the Bena-Polchinski-Roiban connection by terms proportional to the Hamiltonian constraints. These extra terms ensure firstly that the integrals of motion are all first class and secondly that the Lax connection is flat in the strong sense.
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Cited by 2 Pith papers
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Ultralocal Lax connection for para-complex $\mathbb{Z}_T$-cosets
Classical sigma-models on para-complex Z_T-cosets admit an ultralocal, gauge-invariant Lax connection whose light-cone components Poisson-commute, extending earlier results for hermitian symmetric spaces.
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Classical Spectral Curve of the AdS_5 x S^5 Lambda Superstring
The classical spectral curve of the lambda-deformed AdS5 x S5 superstring is constructed and identified with the semiclassical limit of XXZ-type Bethe ansatz equations for PSU(2,2|4).
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