Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of Lax Connection

Abstract

This short note is devoted to the study of the Hamiltonian formalism and the integrability of the bosonic model introduced in [hep-th/0612079]. We calculate Poisson bracket of spatial components of Lax connection and we argue that its structure implies classical integrability of the theory.

17 pages

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Cited by in corpus (5)

• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
• Near Flat Space limit of strings on AdS_4 x CP^3
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background