| THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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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
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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
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| Cite this article: |
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KE San-Min, LI Xin-Ying, WANG Chun et al 2011 Chin. Phys. Lett. 28 101101 |
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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).
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| Keywords:
11.30.Na
02.30.Ik
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Received: 13 June 2011
Published: 28 September 2011
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| PACS: |
11.30.Na
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(Nonlinear and dynamical symmetries (spectrum-generating symmetries))
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02.30.Ik
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(Integrable systems)
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