Classical Exchange Algebra of the Nonlinear Sigma Model on a Supercoset Target with ℤ2n Grading
KE San-Min1,2**, LI Xin-Ying1, WANG Chun3, YUE Rui-Hong4
1College of Science, Chang'an University, Xi'an 710064 2Key Laboratory for Special Area Highway Engineering of Ministry of Education, Chang'an University, Xi'an 710064 3College of Science, Xi'an Shiyou University, Xi'an 710065 4Faculty of Science, Ningbo University, Ningbo 315211
Classical Exchange Algebra of the Nonlinear Sigma Model on a Supercoset Target with ℤ2n Grading
KE San-Min1,2**, LI Xin-Ying1, WANG Chun3, YUE Rui-Hong4
1College of Science, Chang'an University, Xi'an 710064 2Key Laboratory for Special Area Highway Engineering of Ministry of Education, Chang'an University, Xi'an 710064 3College of Science, Xi'an Shiyou University, Xi'an 710065 4Faculty of Science, Ningbo University, Ningbo 315211
摘要The classical exchange algebra satisfied by the monodromy matrix of the nonlinear sigma model on a supercoset target with ℤ2n grading is derived using a first−order Hamiltonian formulation and by adding to the Lax connection terms proportional to constraints. This enables us to show that the conserved charges of the theory are in involution. When n=2, our results coincide with the results given by Magro for the pure spinor description of AdS5×S5 string theory (when the ghost terms are omitted).
Abstract：The classical exchange algebra satisfied by the monodromy matrix of the nonlinear sigma model on a supercoset target with ℤ2n grading is derived using a first−order Hamiltonian formulation and by adding to the Lax connection terms proportional to constraints. This enables us to show that the conserved charges of the theory are in involution. When n=2, our results coincide with the results given by Magro for the pure spinor description of AdS5×S5 string theory (when the ghost terms are omitted).
KE San-Min;**;LI Xin-Ying;WANG Chun;YUE Rui-Hong
. Classical Exchange Algebra of the Nonlinear Sigma Model on a Supercoset Target with ℤ2n Grading[J]. 中国物理快报, 2011, 28(10): 101101-101101.
KE San-Min, **, LI Xin-Ying, WANG Chun, YUE Rui-Hong
. Classical Exchange Algebra of the Nonlinear Sigma Model on a Supercoset Target with ℤ2n Grading. Chin. Phys. Lett., 2011, 28(10): 101101-101101.
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2011, Vol. 28 
