Integrability of AdS<SUB>3</SUB>×S<SUP>3</SUP> Superstring

WANG Xiao-Hui; SHI Kang-Jie

Chinese Physics C> 2006, Vol. 30> Issue(6) : 517-521

Integrability of AdS₃×S³ Superstring

WANG Xiao-Hui ^, ,
SHI Kang-Jie

Institute of Modern Physics, Northwest University, Xi'an 710069, China

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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.

References

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. 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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沈阳化工大学材料科学与工程学院沈阳 110142

Integrability of AdS₃×S³ Superstring

WANG Xiao-Hui ^,
SHI Kang-Jie

Corresponding author: WANG Xiao-Hui,

Institute of Modern Physics, Northwest University, Xi'an 710069, China

Received Date: 2005-09-11
Accepted Date: 1900-01-01
Available Online: 2006-06-05

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.