Twisted Self-Duality of Dimensionally Reduced Gravity and Vertex Operators

Details Twisted Self-Duality of Dimensionally Reduced Gravity and Vertex Operators Twisted Self-Duality of Dimensionally Reduced Gravity and Vertex Operators

1997-12-30

arxiv.org/abs/hep-th/9712254v1

Nucl.Phys.B547:427-470,1999

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, LaTeX, Bonne Ann\'ee

Scientific paper

10.1016/S0550-3213(99)00093-0

The Geroch group, isomorphic to the SL(2,R) affine Kac-Moody group, is an infinite dimensional solution generating group of Einstein's equations with two surface orthogonal commuting Killing vectors. We introduce another solution generating group for these equations, the dressing group, and discuss its connection with the Geroch group. We show that it acts transitively on a dense subset of moduli space. We use a new Lax pair expressing a twisted self-duality of this system and we study the dressing problem associated to it. We also describe how to use vertex operators to solve the reduced Einstein's equations. In particular this allows to find solutions by purely algebraic computations.

Affiliated with

Also associated with

No associations

Rating

Twisted Self-Duality of Dimensionally Reduced Gravity and Vertex Operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Twisted Self-Duality of Dimensionally Reduced Gravity and Vertex Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted Self-Duality of Dimensionally Reduced Gravity and Vertex Operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-412097