A lattice Poisson algebra for the Pohlmeyer reduction of the AdS5 x S5 superstring

Francois Delduc; Marc Magro; Benoit Vicedo

doi:10.1016/j.physletb.2012.06.028

A lattice Poisson algebra for the Pohlmeyer reduction of the AdS5 x S⁵ superstring

Francois Delduc, Marc Magro, Benoit Vicedo

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Abstract

The Poisson algebra of the Lax matrix associated with the Pohlmeyer reduction of the AdS₅×S⁵ superstring is computed from first principles. The resulting non-ultralocality is mild, which enables to write down a corresponding lattice quadratic Poisson algebra, a key step towards the integrable quantization of this theory from first principles

Original language	English
Pages (from-to)	347-349
Journal	Physical Letters B
Volume	713
Issue number	3
DOIs	https://doi.org/10.1016/j.physletb.2012.06.028
Publication status	Published - 9 Jul 2012

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abstract = "The Poisson algebra of the Lax matrix associated with the Pohlmeyer reduction of the AdS5×S5 superstring is computed from first principles. The resulting non-ultralocality is mild, which enables to write down a corresponding lattice quadratic Poisson algebra, a key step towards the integrable quantization of this theory from first principles",

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AB - The Poisson algebra of the Lax matrix associated with the Pohlmeyer reduction of the AdS5×S5 superstring is computed from first principles. The resulting non-ultralocality is mild, which enables to write down a corresponding lattice quadratic Poisson algebra, a key step towards the integrable quantization of this theory from first principles

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A lattice Poisson algebra for the Pohlmeyer reduction of the AdS5 x S5 superstring

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A lattice Poisson algebra for the Pohlmeyer reduction of the AdS5 x S⁵ superstring