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

References in corpus (4)

• ICTP Lectures on Covariant Quantization of the Superstring
• A Note on the Classical BRST Symmetry of the Pure Spinor String in a Curved Background
• Yang-Mills Theory as an Illustration of the Covariant Quantization of Superstrings
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background

Cited by in corpus (7)

• 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)
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
• Hamiltonian Analysis of Non-Linear Sigma Model on Supercoset Target
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Algebra of Lax Connection for T-Dual Models