Realization of $W_{1+\infty}$ and Virasoro Algebras in Supersymmetric Theories on Four Manifolds

Details Realization of $W_{1+\infty}$ and Virasoro Algebras in Supersymmetric Theories on Four Manifolds Realization of $W_{1+\infty}$ and Virasoro Algebras in Supersymmetric Theories on Four Manifolds

1994-06-23

arxiv.org/abs/hep-th/9406156v2

Mod.Phys.Lett. A9 (1994) 2611-2622

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages, NBI-HE-94-35. Minor stylistic changes

Scientific paper

10.1142/S0217732394002458

We demonstrate that a supersymmetric theory twisted on a K\"ahler four manifold $M=\Sigma_1 \times \Sigma_2 ,$ where $\Sigma_{1,2}$ are 2D Riemann surfaces, possesses a "left-moving" conformal stress tensor on $\Sigma_1$ ($\Sigma_2$) in the BRST cohomology. The central charge of the Virasoro algebra has a purely geometric origin and is proportional to the Euler characteristic of the $\Sigma_2$ ($\Sigma_1$) surface. This structure is shown to be invariant under renormalization group. We also give a representation of the algebra $W_{1+\infty}$ in terms of a free chiral supermultiplet.

Affiliated with

Also associated with

No associations

Rating

Realization of $W_{1+\infty}$ and Virasoro Algebras in Supersymmetric Theories on Four Manifolds 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 Realization of $W_{1+\infty}$ and Virasoro Algebras in Supersymmetric Theories on Four Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Realization of $W_{1+\infty}$ and Virasoro Algebras in Supersymmetric Theories on Four Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-229284