Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing

TL;DR

This review discusses the classical integrability of the AdS5xS5 superstring theory, covering its action, symmetries, gauge fixing, and aspects of the pure spinor formulation, providing a comprehensive overview of its theoretical structure.

Contribution

It offers a detailed synthesis of the classical integrability properties, gauge fixing procedures, and pure spinor formulation aspects of the AdS5xS5 superstring, consolidating existing knowledge.

Findings

Classical integrability of the superstring is established.

Gauge fixing methods are systematically reviewed.

Connections to pure spinor formulation are briefly discussed.

Abstract

This review is devoted to the classical integrability of the AdS5xS5 superstring theory. It starts with a reminder of the corresponding action as a coset model. The symmetries of this action are then reviewed. The classical integrability is then considered from the lagrangian and hamiltonian points of view. The second part of this review deals with the gauge fixing of this theory. Finally, some aspects of the pure spinor formulation are also briefly reviewed.