WDVV-like equations in N=2 SUSY Yang-Mills Theory

Details WDVV-like equations in N=2 SUSY Yang-Mills Theory WDVV-like equations in N=2 SUSY Yang-Mills Theory

1996-07-14

arxiv.org/abs/hep-th/9607109v1

Phys.Lett. B389 (1996) 43-52

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, no figures

Scientific paper

10.1016/S0370-2693(96)01231-2

The prepotential $F(a_i)$, defining the low-energy effective action of the $SU(N)$ ${\cal N}=2$ SUSY Yang-Mills theories, satisfies an enlarged set of the WDVV-like equations $F_iF_k^{-1}F_j = F_jF_k^{-1}F_i$ for any triple $i,j,k = 1,\ldots,N-1$, where matrix $F_i$ is equal to $(F_i)_{mn} = \partial^3 F/\partial a_i\partial a_m\partial a_n$. The same equations are actually true for generic topological theories. In contrast to the conventional formulation, when $k$ is restricted to $k=0$, in the proposed system there is no distinguished ``first'' time-variable, and indices can be raised with the help of any ``metric'' $\eta_{mn}^{(k)} = (F_k)_{mn}$, not obligatory flat. All the equations (for all $i,j,k$) are true simultaneously. This result provides a new parallel between the Seiberg-Witten theory of low-energy gauge models in $4d$ and topological theories.

Affiliated with

Also associated with

No associations

Rating

WDVV-like equations in N=2 SUSY Yang-Mills Theory 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 WDVV-like equations in N=2 SUSY Yang-Mills Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and WDVV-like equations in N=2 SUSY Yang-Mills Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578015