Poisson-Lie T-dual sigma models on supermanifolds

Details Poisson-Lie T-dual sigma models on supermanifolds Poisson-Lie T-dual sigma models on supermanifolds

2009-01-12

arxiv.org/abs/0901.1592v3

JHEP 0909:094,2009

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Revised and accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2009/09/094

We investigate Poisson-Lie symmetry for T-dual sigma models on supermanifolds in general and on Lie supergroups in particular. We show that the integrability condition on this super Poisson-Lie symmetry is equivalent to the super Jacobi identities of the Lie super-bialgebras. As examples we consider models related to four dimensional Lie super-bialgebras $((2A1,1 + 2A)^1, D10_p=1/2)$ and $((2A1,1 + 2A)^1, I)$. Then generally it is shown that for Abelian case (g, I) the super Poisson-Lie T-duality transforms the role of fermionic (bosonic) fields in the model to bosonic (fermionic) fields on the dual model and vice versa.

Affiliated with

Also associated with

No associations

Rating

Poisson-Lie T-dual sigma models on supermanifolds 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 Poisson-Lie T-dual sigma models on supermanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poisson-Lie T-dual sigma models on supermanifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532941