Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-08-23
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, latex, CERN-TH.6946/93
Scientific paper
We investigate $2d$ sigma-models with a $2+N$ dimensional Minkowski signature target space metric and Killing symmetry, specifically supersymmetrized, and see under which conditions they might lead to corresponding exact string vacua. It appears that the issue relies heavily on the properties of the vector $M_{\mu}$, a reparametrization term, which needs to possess a definite form for the Weyl invariance to be satisfied. We give, in the $n = 1$ supersymmetric case, two non-renormalization theorems from which we can relate the $u$ component of $M_{\mu}$ to the $\beta^G_{uu}$ function. We work out this $(u,u)$ component of the $\beta^G$ function and find a non-vanishing contribution at four loops. Therefore, it turns out that at order $\alpha^{\prime 4}$, there are in general non-vanishing contributions to $M_u$ that prevent us from deducing superstring vacua in closed form.
Petermann A.
Zichichi Antonino
No associations
LandOfFree
A search for exact superstring vacua 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 A search for exact superstring vacua, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A search for exact superstring vacua will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-60513