摘要
We perform a Hamiltonian analysis of the Green-Schwarz sigma model on a supercoset target with Z4m 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.
We perform a Hamiltonian analysis of the Green-Schwarz sigma model on a supercoset target with Z4m 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.
基金
Supported by National Natural Science Foundation of China (11047179, 11075126, 11031005)
Special Fund for Basic Scientific Research of Central Colleges, Chang’an University, Special Foundation for Basic Research Program of Chang’an University, Open Fund of Key Laboratory for Special Area Highway Engineering (Chang’an University), Ministry of Education (CHD2009JC030)
Xi’an Shiyou University Science and Technology Foundation (2010QN018)
