Pseudoduality in Supersymmetric Sigma Models

Details Pseudoduality in Supersymmetric Sigma Models Pseudoduality in Supersymmetric Sigma Models

2009-04-28

arxiv.org/abs/0904.4408v3

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, typos corrected, some new references added

Scientific paper

We study the pseudoduality transformation in supersymmetric sigma models. We generalize the classical construction of pseudoduality transformation to supersymmetric case. We perform this both by component expansion method on manifold M and by orthonormal coframe method on manifold SO(M). The component expansion method yields the result that pseudoduality tranformation is not invertible at all points and occurs from all points on one manifold to only one point where riemann normal coordinates are valid on the second manifold. Torsion of the sigma model on M must vanish while it is nonvanishing on pseudodual manifold, and curvatures of the manifolds must be constant and the same. In case of super WZW sigma models pseudoduality equations result in three different pseudoduality conditions; flat space, chiral and antichiral pseudoduality.

Affiliated with

Also associated with

No associations

Rating

Pseudoduality in Supersymmetric Sigma Models 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 Pseudoduality in Supersymmetric Sigma Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudoduality in Supersymmetric Sigma Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-713166