SL(2,R)-geometric phase space and (2+2)-dimensions


  • R. Flores
  • J. A
  • J. Tellez
  • E. A
  • E. R


Symplectic geometry, constrained Hamiltonian systems, two time physics


We propose an alternative geometric mathematical structure for arbitrary phase space. The main guide in our approach is the hidden SL(2,R)-symmetry which acts on the phase space changing coordinates by momenta and % vice versa. We show that the SL(2,R)-symmetry is implicit in any symplectic structure. We also prove that in any sensible physical theory based on the SL(2,R)-symmetry the signature of the flat target ``spacetime'' must be associated with either one-time and one-space or at least two-time and two-space coordinates. We discuss the consequences as well as possible applications of our approach on different physical scenarios.




How to Cite

R. Flores, J. A, J. Tellez, E. A, and E. R, “SL(2,R)-geometric phase space and (2+2)-dimensions”, Rev. Mex. Fís., vol. 59, no. 4, pp. 352–0, Jan. 2013.