Current algebra of the pure spinor superstring inAdS5×S5 | Zendy

Massimo Bianchi | Zendy; J. Klusoň | Zendy

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Current algebra of the pure spinor superstring inAdS₅×S₅

Author(s) -

Massimo Bianchi,

J. Klusoň

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/08/030

Subject(s) - pure spinor , superstring theory , yangian , spinor , covariant transformation , poisson bracket , brst quantization , mathematical physics , invariant (physics) , hamiltonian (control theory) , physics , equations of motion , algebra over a field , pure mathematics , mathematics , quantum mechanics , supersymmetry , lie algebra , gauge theory , mathematical optimization

We perform a Hamiltonian analysis of the classical type IIB superstring onAdS(5) x S(5) in the pure spinor approach. Taking the spatial components of theleft-invariant (super)currents and the pure spinor ghosts as canonicalvariables, we compute the classical graded Poisson brackets of the currents andghosts 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 ofthe BRST generators and the Hamiltonian along the constraints. For a naturalchoice of the the Lagrange multipliers, we show equivalence of the canonicalequations of motion with the covariant ones. Finally we briefly discuss the(non) local currents, including the ghost contribution, that generate theglobal PSU(2,2|4) symmetry and its Yangian extension in the present framework.Comment: 26 pages, v2:corrected typo

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