Solution generating transformations and the string effective action

Jun, 1995
41 pages
Published in:
  • Class.Quant.Grav. 13 (1996) 321-343
e-Print:
Report number:
  • UG-1-95,
  • QMW-PH-95-1

Citations per year

19952002200920162023024681012
Abstract:
We study exhaustively the solution-generating transformations (dualities) that occur in the context of the superstring low-energy effective action. We first consider target-space duality transformations in absence of vector fields. We find that for one isometry the full duality group is (SO (1,1)) 3×D4(SO~{\uparrow}(1,1))~{3}\times D_{4}, the discrete part (D4D_{4}) being non-Abelian. We, then, include non-Abelian Yang--Mills fields and find the corresponding generalization of the TTduality transformations. We study the α \alpha~{\prime} corrections to these transformations and show that the TTduality rules considerably simplify if the gauge group is embedded in the holonomy group. Next, in the case in which there are Abelian vector fields, we consider the duality group that includes the transformation introduced by Sen that rotates among themselves components of the metric, axion and vector field. Finally we list the duality symmetries of the TypeII theories with one isometry.
  • string model
  • effective action
  • supersymmetry
  • duality: transformation
  • gauge field theory: Yang-Mills
  • dimensional reduction
  • sigma model