Integrability of AdS3×S3 Superstring

  • From the κ symmetric action of IIB string in AdS3×S3 background given by Rahmfeld and Rajaraman, we derive the equations of motion. Then using the twisted dual transformation which was introduced by Hou et al. We construct the flat currents, and hence conserved non-local charge with one free parameter, for the Green-Schwarz superstring in AdS3×S3. Thus we show the AdS3×S3 string is integrable.
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  • [1] . Maldacena J M. Adv. Theor. Math. Phys., 1998, 2: 2312. Gubser S S, Klebanov I R, Polyakov A M. Phys. Lett.,1998, B428: 1053. Witten E. Adv. Theor. Math. Phys., 1998, 2: 2534. Metsaev R R, Tseytlin A A. Nucl. Phys., 1998, B533: 1095. Bena I, Polchinski J, Roiban R. Phys. Rev., 2004, D69:0460026. Polyakov A M. Mod. Phys. Lett., 2004, A19: 16497. HOU Bo-Yu, PENG Dan-Tao, XIONG Chuan-Hua et al.The Affine Hidden Symmetry and Integrability of Type IIB Superstring in AdSg×Ssup5/sup. arXiv:hep-th/04062398. XIONG Chuan-Hua. Acta Physica Sinica, 2005, 54: 0047(in Chinese)(熊传华.物理学报,2005, 54: 0047)9. Rahmfeld J, Rajaraman A. Phys. Rev., 1999, D60: 06401410. CHEN Bin, HE Ya-Li, ZHANG Peng et al. Phys. Rev.,2005, D71: 086007
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WANG Xiao-Hui and SHI Kang-Jie. Integrability of AdS3×S3 Superstring[J]. Chinese Physics C, 2006, 30(6): 517-521.
WANG Xiao-Hui and SHI Kang-Jie. Integrability of AdS3×S3 Superstring[J]. Chinese Physics C, 2006, 30(6): 517-521. shu
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Received: 2005-09-11
Revised: 1900-01-01
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Integrability of AdS3×S3 Superstring

    Corresponding author: WANG Xiao-Hui,
  • Institute of Modern Physics, Northwest University, Xi'an 710069, China

Abstract: From the κ symmetric action of IIB string in AdS3×S3 background given by Rahmfeld and Rajaraman, we derive the equations of motion. Then using the twisted dual transformation which was introduced by Hou et al. We construct the flat currents, and hence conserved non-local charge with one free parameter, for the Green-Schwarz superstring in AdS3×S3. Thus we show the AdS3×S3 string is integrable.

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