Eric Bergshoeff et al 1996 Class. Quantum Grav. 13 321 doi:10.1088/0264-9381/13/3/002
Solution-generating transformations and the string effective action
Eric Bergshoeff
, Bert Janssen and Tomás Ortín¶
We study exhaustively the solution-generating transformations (dualities) that occur in the context of the low-energy effective action of superstring theory.
We first consider target-space duality (`T duality') transformations in the absence of vector fields. We find that for one isometry the full duality group is 
, the discrete part 
being non-Abelian. We then include non-Abelian Yang - Mills fields and find the corresponding generalization of the T duality transformations. We study the 
corrections to these transformations and show that the T duality rules are considerably simplified 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 the components of the metric, axion and vector field.
Finally we list the duality symmetries of the type II theories with one isometry.
- PACS
- MSC
-
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
- Dates
-
Issue 3 (March 1996)
Received 7 July 1995
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Solution-generating transformations and the string effective action
Eric Bergshoeff et al 1996 Class. Quantum Grav. 13 321
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