Strings as Multi-Particle States of Quantum Sigma-Models - Université Pierre et Marie Curie Accéder directement au contenu
Article Dans Une Revue Nuclear Physics B Année : 2007

Strings as Multi-Particle States of Quantum Sigma-Models

Résumé

We study the quantum Bethe ansatz equations in the O(2n) sigma-model for hysical particles on a circle, with the interaction given by the Zamolodchikovs' S-matrix, in view of its application to quantization of the string on the S^{2n-1} x R_t space. For a finite number of particles, the system looks like an inhomogeneous integrable O(2n) spin chain. Similarly to OSp(2m+n|2m) conformal sigma-model considered by Mann and Polchinski, we reproduce in the limit of large density of particles the finite gap Kazakov-Marshakov-Minahan-Zarembo solution for the classical string and its generalization to the S^5 x R_t sector of the Green-Schwarz-Metsaev-Tseytlin superstring. We also reproduce some quantum effects: the BMN limit and the quantum homogeneous spin chain similar to the one describing the bosonic sector of the one-loop N=4 super Yang-Mills theory. We discuss the prospects of generalization of these Bethe equations to the full superstring sigma-model.

Dates et versions

hal-00256751 , version 1 (17-02-2008)

Identifiants

Citer

Nikolay Gromov, Vladimir Kazakov, Kazuhiro Sakai, Pedro Vieira. Strings as Multi-Particle States of Quantum Sigma-Models. Nuclear Physics B, 2007, 764, pp.15. ⟨hal-00256751⟩
18 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More