Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)

Abstract

We perform a Hamiltonian analysis of the classical type IIB superstring on AdS(5) x S(5) in the pure spinor approach. Taking the spatial components of the left-invariant (super)currents and the pure spinor ghosts as canonical variables, we compute the classical graded Poisson brackets of the currents and ghosts and identify the first class constraints associated to the local SO(4,1) x SO(5) symmetry and the pure spinor condition. We then study the properties of the BRST generators and the Hamiltonian along the constraints. For a natural choice of the the Lagrange multipliers, we show equivalence of the canonical equations of motion with the covariant ones. Finally we briefly discuss the (non) local currents, including the ghost contribution, that generate the global PSU(2,2|4) symmetry and its Yangian extension in the present framework.

26 pages, v2:corrected typos

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• The WZNW model on PSU(1,1|2)
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• 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)
• Superstrings in AdS
• Review of AdS/CFT Integrability, Chapter II.3: Sigma Model, Gauge Fixing
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
• One-loop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved Background
• First-principles derivation of the AdS/CFT Y-systems
• Taming the b antighost with Ramond-Ramond flux
• Pure Spinor Strings in TsT Deformed Background
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Quantum Current Algebra for the $Ad{S}_5\times S^5$ Superstring
• Exploring The Lambda Model Of The Hybrid Superstring
• Hamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target
• Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of Lax Connection
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Algebra of Lax Connection for T-Dual Models