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A lattice Poisson algebra for the Pohlmeyer reduction of the AdS_5 × S^5 superstring

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JournalPhysics Letters B
DatePublished - 9 Jul 2012
Issue number3
Volume713
Number of pages3
Pages (from-to)347-349
Original languageEnglish

Abstract

The Poisson algebra of the Lax matrix associated with the Pohlmeyer reduction of the AdS_5 × S^5 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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