Hamiltonian of Green–Schwarz IIB Superstring Theory in AdS_(3)×S^(3) Background

作     者：KE San-Min WANG Chun WANG Zhan-Yun JIANG Ke-Xia SHI Kang-Jie 柯三民;王春;王展云;江克侠;石康杰

作者机构：College of ScienceChang'an UniversityXi'an 710064 Key Laboratory for Special Area Highway Engineering of Ministry of EducationChang'an UniversityXi'an 710064 College of ScienceXi'an Shiyou UniversityXi'an 710065 Institute of Modern PhysicsNorthwest UniversityXi'an 710069 School of Electronic EngineeringXi'an Institute of Posts and TelecommunicationsXi'an 710121 Department of PhysicsEngineering College of CAPFXi'an 710086 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2011年第28卷第7期

页      面：73-76页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：by the National Natural Science Foundation of China under Grant Nos 11047179,11075126,11031005 and 10575080 the Special Fund for Basic Scientific Research of Central Colleges,Chang’an University the Special Foundation for Basic Research Program of Chang’an University the Open Fund of Key Laboratory for Special Area Highway Engineering(Chang’an University) the Ministry of Education under Grant No CHD2009JC030 the Xi’an Shiyou University Science and Technology Foundation under Grant No 2010QN018 the NWU Graduate Cross-Discipline Funds under Grant No 09YJC25 

主　　题：Schwarz Cartan Legendre 

摘      要：We parameterize the Green–Schwarz IIB superstring in the AdS_(3)×S^(3) background under the light cone gauge by the method of Metsaev and Tseytlin in AdS3 and by the method of Rahmfeld and Rajaraman in *** some calculation,we obtain the corresponding Maurer–Cartan 1−forms and the *** we fix two bosonic variables x+=τand y^(5)=σ,perform the partial Legendre transformation of the remaining bosonic variables,and find a Lagrangian that is linear in velocity after eliminating the metric of the world *** also give the Hamiltonian and prove that the system is local and the Poisson bracket of the theory can be well *** these results,one can further study the properties of solution space,solution transformation and the structure of the flat current algebra of the superstring in the AdS_(3)×S^(3) background.