A Categorification of Quantum sl2
- ISSN号:0253-6102
- 期刊名称:《理论物理通讯:英文版》
- 时间:0
- 分类:O413.1[理学—理论物理;理学—物理] TP393[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
- 作者机构:[1]College of Science, Chang'an University, Xi'an 710064, China, [2]Key Laboratory for Special Area Highway Engineering of Ministry of Education, Chang'an University, Xi'an 710064, China, [3]Institute of Modern Physics, Northwest University, Xi'an 710069, China, [4]College of Science, Xi'an Shiyou University, Xi'an 710065, China
- 相关基金: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)
关键词:
哈密顿量, 模型分析, 目标模型, 泊松括号, 组成部分, 矩阵代数, 超弦理论, DAS, Green-Schwarz sigma model, supercoset target, Hamiltonian analysis, transition matrix
中文摘要:
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.
英文摘要:
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.