Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z4m grading

KE San-Min; YANG Wen-Li; WANG Chun; WANG Zhan-Yun

doi:10.1088/1674-1137/35/11/004

Chinese Physics C> 2011, Vol. 35> Issue(11) : 1004-1008 DOI: 10.1088/1674-1137/35/11/004

Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z_4m grading

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We perform a Hamiltonian analysis of the Green-Schwarz sigma model on a supercoset target with Z_4m grading. The fundamental Poisson brackets between the spatial component of the flat currents depending on a continuous parameter, which can be thought of as a first step in the complete calculation of the algebra of the transition matrices, are obtained. When m=1, our results are reduced to the results of the type IIB Green-Schwarz superstring on AdS₅ × S⁵ background obtained by Das, Melikyan and Sato.

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KE San-Min, YANG Wen-Li, WANG Chun and WANG Zhan-Yun. Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z_4m grading[J]. Chinese Physics C, 2011, 35(11): 1004-1008. doi: 10.1088/1674-1137/35/11/004

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Received: 2011-04-12
Revised: 2011-06-13

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沈阳化工大学材料科学与工程学院沈阳 110142

Hamiltonian analysis of a Green-Schwarz sigma model on a supercoset target with Z_4m grading

Received Date: 2011-04-12
Accepted Date: 2011-06-13
Available Online: 2011-11-05

Abstract: We perform a Hamiltonian analysis of the Green-Schwarz sigma model on a supercoset target with Z_4m grading. The fundamental Poisson brackets between the spatial component of the flat currents depending on a continuous parameter, which can be thought of as a first step in the complete calculation of the algebra of the transition matrices, are obtained. When m=1, our results are reduced to the results of the type IIB Green-Schwarz superstring on AdS₅ × S⁵ background obtained by Das, Melikyan and Sato.