Hamiltonian dynamics and the hidden symmetries of the AdS5 × S5 superstring

B. Vicedo

doi:10.1007/JHEP01(2010)102

Hamiltonian dynamics and the hidden symmetries of the AdS5 × S5 superstring

B. Vicedo

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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Abstract

We construct the Lax connection of the Green-Schwarz superstring in AdS5 × S5 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.

Original language	English
Journal	Journal of High Energy Physics (JHEP)
Volume	2010
Issue number	102
DOIs	https://doi.org/10.1007/JHEP01(2010)102
Publication status	Published - Jan 2010

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10.1007/JHEP01(2010)102

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abstract = "We construct the Lax connection of the Green-Schwarz superstring in AdS5 × S5 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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AB - We construct the Lax connection of the Green-Schwarz superstring in AdS5 × S5 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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DO - 10.1007/JHEP01(2010)102

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JO - Journal of High Energy Physics (JHEP)

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Hamiltonian dynamics and the hidden symmetries of the AdS5 × S5 superstring

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