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

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Authors

KLUSOŇ Josef BIANCHI Massimo

Year of publication 2006
Type Article in Periodical
Magazine / Source Journal of High Energy Physics
MU Faculty or unit

Faculty of Science

Citation
Field Theoretical physics
Keywords string theory- cft
Description 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.
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