We show that for Green-Schwarz superstring in AdS_(3)×S^(3),the one-parameter family of flat currents retains a zero-curvature condition and keeps the variation relations under is-symmetry,diffeomorphism,local Lo...We show that for Green-Schwarz superstring in AdS_(3)×S^(3),the one-parameter family of flat currents retains a zero-curvature condition and keeps the variation relations under is-symmetry,diffeomorphism,local Lorentz SO(1,2)×SO(3)and global PSU(1,1|2)^(2)symmetry transformations respectively.This indicates that the flat currents exist in all the n-symmetry gauge fixed cases.As a result,we find that the infinite conserved quantities are invariant under these transformations and independent of the gauge choice of the system.展开更多
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 ...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 10575080 and 11047179the NWU Graduate Cross-discipline Funds(09YJC25)+1 种基金the Youth Foundation of Xi’an Institute of Posts and Telecommunications(ZL2007-18)the Special Fund for Basic Scientific Research of Central Colleges,Chang’an University and supported by the 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)under Grant No CHD2009JC030.
文摘We show that for Green-Schwarz superstring in AdS_(3)×S^(3),the one-parameter family of flat currents retains a zero-curvature condition and keeps the variation relations under is-symmetry,diffeomorphism,local Lorentz SO(1,2)×SO(3)and global PSU(1,1|2)^(2)symmetry transformations respectively.This indicates that the flat currents exist in all the n-symmetry gauge fixed cases.As a result,we find that the infinite conserved quantities are invariant under these transformations and independent of the gauge choice of the system.
基金by the National Natural Science Foundation of China under Grant Nos 11047179,11075126,11031005 and 10575080the Special Fund for Basic Scientific Research of Central Colleges,Chang’an University+4 种基金the Special Foundation for Basic Research Program of Chang’an Universitythe Open Fund of Key Laboratory for Special Area Highway Engineering(Chang’an University)the Ministry of Education under Grant No CHD2009JC030the Xi’an Shiyou University Science and Technology Foundation under Grant No 2010QN018the NWU Graduate Cross-Discipline Funds under Grant No 09YJC25.
文摘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.
