Classical Solutions for Poisson Sigma Models on a Riemann surface

Details Classical Solutions for Poisson Sigma Models on a Riemann surface Classical Solutions for Poisson Sigma Models on a Riemann surface

2003-04-29

arxiv.org/abs/hep-th/0304252v1

JHEP 0307 (2003) 002

Physics

High Energy Physics

High Energy Physics - Theory

28 pages

Scientific paper

10.1088/1126-6708/2003/07/002

We determine the moduli space of classical solutions to the field equations of Poisson Sigma Models on arbitrary Riemann surfaces for Poisson structures with vanishing Poisson form class. This condition ensures the existence of a presymplectic form on the target Poisson manifold which agrees with the induced symplectic forms of the Poisson tensor upon pullback to the leaves. The dimension of the classical moduli space as a function of the genus of the worldsheet Sigma and the corank k of the Poisson tensor is determined as k(rank(H^1(Sigma))+1). Representatives of the classical solutions are provided using the above mentioned presymplectic 2-forms, and possible generalizations to cases where such a form does not exist are discussed. The results are compared to the known moduli space of classical solutions for two-dimensional BF and Yang-Mills theories.

Affiliated with

Also associated with

No associations

Rating

Classical Solutions for Poisson Sigma Models on a Riemann surface 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 Classical Solutions for Poisson Sigma Models on a Riemann surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical Solutions for Poisson Sigma Models on a Riemann surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333970