Flat Currents of Green–Schwarz Superstring in AdS3×S3 under Symmetry Transformations
WANG Zhan-Yun1,2**, KE San-Min3,4, HAO Kun1, SHI Kang-Jie1
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
Flat Currents of Green–Schwarz Superstring in AdS3×S3 under Symmetry Transformations
WANG Zhan-Yun1,2**, KE San-Min3,4, HAO Kun1, SHI Kang-Jie1
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
摘要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.
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.
WANG Zhan-Yun;**;KE San-Min;HAO Kun;SHI Kang-Jie
. Flat Currents of Green–Schwarz Superstring in AdS3×S3 under Symmetry Transformations[J]. 中国物理快报, 2011, 28(3): 31101-031101.
WANG Zhan-Yun, **, KE San-Min, HAO Kun, SHI Kang-Jie
. Flat Currents of Green–Schwarz Superstring in AdS3×S3 under Symmetry Transformations. Chin. Phys. Lett., 2011, 28(3): 31101-031101.
[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)
2011, Vol. 28 
