Non-local charges, Zm gradings and coset space actions

Abstract

The construction of flat currents, and hence conserved non-local charges, for the superstring on AdS_5 x S^5 is generalised. It is shown that such currents exist for sigma-model type actions on all coset (super-)spaces G/H in which, at the level of the Lie algebras, h is the grade-zero subspace of a Zm grading of g. This is true for an essentially unique choice of the Wess-Zumino term, which is determined.

18 pages, LaTeX, extended discussion in section 2, references added

References in corpus (18)

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Cited by in corpus (44)

• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Gauge Theory and Integrability, II
• On T-Duality and Integrability for Strings on AdS Backgrounds
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Integrable Deformations of Sigma Models
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• Conformal Sigma-Models on Supercoset Targets
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Free fermion resolution of supergroup WZNW models
• Assembling integrable sigma-models as affine Gaudin models
• Flat Currents of the Green-Schwarz Superstrings in AdS_5 x S^1 and AdS_3 x S^3 backgrounds
• 4-dimensional Chern-Simons theory and integrable field theories
• Superspace conformal field theory
• Conformal invariance and quantum integrability of sigma models on symmetric superspaces
• Flag manifold sigma models: spin chains and integrable theories
• Local charges in involution and hierarchies in integrable sigma-models
• Sigma models with local couplings: a new integrability -- RG flow connection
• First-principles derivation of the AdS/CFT Y-systems
• New integrable coset sigma models
• Cohomological Reduction of Sigma Models
• Flag manifold sigma-models: the 1/N-expansion and the anomaly two-form
• Complex structure-induced deformations of sigma-models
• Ultralocal Lax connection for para-complex ${\mathbb{Z}}_T$-cosets
• Super Non-Abelian T-Duality
• Construction of Lax Connections by Exponentiation
• Nonlocal charges of T-dual strings
• Universal 1-loop divergences for integrable sigma models
• Sugawara form for AdS superstring
• Algebraic Curves for Integrable String Backgrounds
• Constrained affine Gaudin models and diagonal Yang-Baxter deformations
• Geometry of the spectral parameter and renormalisation of integrable $\sigma$-models
• An elliptic integrable deformation of the Principal Chiral Model
• A Connection between Twistors and Superstring Sigma Models on Coset Superspaces
• Hamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target
• Improvement of a conserved current density versus adding a total derivative to a Lagrangian density
• Lax pairs for new ${\mathbb{Z}}_N$-symmetric coset $\sigma$-models and their Yang-Baxter deformations
• Spectra of Coset Sigma Models
• Conserved Charges in the Principal Chiral Model on a Supergroup
• Integrability of the $\lambda$-deformation of the PCM with spectators
• Constrained WZWN Models on G/{S x U(1)^n} and Exchange Algebra of G-Primaries
• Populations of Solutions to Cyclotomic Bethe Equations
• String Solutions in General Backgrounds
• Spectra of Sigma Models on Semi-Symmetric Spaces
• Solution Transformations for GS String in AdS_5 x S^5 by Conserved Quantities