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 S3.After some calculation,we obtain the corresponding Maurer–Cartan 1−forms and the action.Then 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 sheet.We also give the Hamiltonian and prove that the system is local and the Poisson bracket of the theory can be well defined.Using 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.
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(College of Science,Chang'an University,Xi'an 710064;Key Laboratory for Special Area Highway Engineering of Ministry of Education,Chang'an University,Xi'an 710064;College of Science,Xi'an Shiyou University,Xi'an 710065;Institute of Modern Physics,Northwest University,Xi'an 710069;School of Electronic Engineering,Xi'an Institute of Posts and Telecommunications,Xi'an 710121;Department of Physics,Engineering College of CAPF,Xi'an 710086)
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.
