Hamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target
arXiv:hep-th/0608146 · doi:10.1088/1126-6708/2006/10/046
Abstract
This paper is devoted to the study of the Hamiltonian formulation of non-linear sigma models on supercoset targets. We calculate the Poisson brackets of left-invariant currents. Then we introduce the Hamiltonian of the system and determine the equations of motion for left-invariant currents. We also determine the charge corresponding to the invariance of the action under global left multiplication.
arXiv comment17. pages,v2: references added, v3: references added, minor corrections
References in corpus (20)
- Hidden Symmetries of the AdS_5 x S^5 Superstring
- Type IIB superstring action in AdS_5 x S^5 background
- Conformal Field Theory of AdS Background with Ramond-Ramond Flux
- Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
- Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions
- Quantum Consistency of the Superstring in AdS_5 x S^5 Background
- gl(N|N) Super-Current Algebras for Disordered Dirac Fermions in Two Dimensions
- Flat Currents in the Classical AdS_5 x S^5 Pure Spinor Superstring
- Sigma Model as a Conformal Field Theory
- Superstrings on AdS_5 x S^5 supertwistor space
- Non-local charges, Zm gradings and coset space actions
- The Algebra of Transition Matrices for the AdS_5 x S^5 Superstring
- One Loop Conformal Invariance of the Superstring in an AdS_5 x S^5 Background
- Conformal Sigma-Models on Supercoset Targets
- The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
- BRST Cohomology and Nonlocal Conserved Charges
- Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
- Classical AdS Superstring Mechanics
- Wess-Zumino term for AdS superstring
- Yangian Symmetry in Integrable Quantum Gravity