Flat Currents of Green–Schwarz Superstring in AdS3×S3 under Symmetry Transformations

Flat Currents of Green–Schwarz Superstring in AdS₃×S³ under Symmetry Transformations

¹Institute of Modern Physics, Northwest University, Xi'an 710069
²School of Electronic Engineering, Xi'an Institute of Posts and Telecommunications, Xi'an 710121
³College of Science, Chang'an University, Xi'an 710064
⁴Key Laboratory for Special Area Highway Engineering of Ministry of Education, Chang'an University, Xi'an 710064

Received Date: August 02, 2010

Published Date: February 28, 2011

Abstract

We show that for Green–Schwarz superstring in AdS₃×S³, the one-parameter family of flat currents retains a zero-curvature condition and keeps the variation relations under κ-symmetry, diffeomorphism, local Lorentz SO(1,2)×SO(3) and global PSU(1,1|2)² symmetry transformations respectively. This indicates that the flat currents exist in all the κ-symmetry gauge fixed cases. As a result, we find that the infinite conserved quantities are invariant under these transformations and independent of the gauge choice of the system.

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