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

  • Received Date: August 02, 2010
  • Published Date: February 28, 2011
  • 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.
  • Article Text

  • [1] Maldacena J M 1998 Adv. Theor. Math. Phys. 2 231
    Gubser S S et al 1998 Phys. Lett. B 428 105
    Witten E 1998 Adv. Theor. Math. Phys. 2 253
    [2] Bena I et al 2004 Phys. Rev. D 69 046002
    [3] Hou B Y et al 2004 Preprint arXiv:hep-th/0406239
    Xiong C H 2007 Commun. Theor. Phys. 49 1573
    [4] Metsaev R R et al 1998 Nucl. Phys. B 533 109
    [5] Alday L F et al 2005 J. High Energy Phys. 0507 002
    [6] Beisert N et al 2006 Commun. Math. Phys. 263 659
    [7] Arutyunov G and Frolov S 2009 J. Phys. A: Math. Theor. 42 254003
    [8] Wang X H and Shi K J 2006 High Energ Phys. Nucl. 30 517 (in Chinese)
    [9] Arutyunov G et al 2005 J. High Energy Phys. 0502 059
    [10] Kluson J 2007 J. High Energy Phys. 0707 015
    [11] Das A et al 2005 J. High Energy Phys. 0511 015
    [12] Rahmfeld J et al 1999 Phys. Rev. D 60 064014
    [13] Pesando I 1999 J. High Energy Phys. 9902 007
    Park J and Rey S J 1999 J. High Energy Phys. 9901 001
    Berkovits N, Vafa C and Witten E 1999 J. High Energy Phys. 9903 018
    Metsaev R R and Tseytlin A A 2001 J. Math. Phys. 42 2987
    [14] Chen B, He Y L, Zhang P and Song X C 2005 Phys. Rev. D 71 086007
    [15] Zhang L X 2008 Master Thesis (Xi'an: Northwest University) (in Chinese)
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