A search for exact superstring vacua
Abstract
We investigate $2d$ sigmamodels 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 nonrenormalization 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 nonvanishing contribution at four loops. Therefore, it turns out that at order $\alpha^{\prime 4}$, there are in general nonvanishing contributions to $M_u$ that prevent us from deducing superstring vacua in closed form.
 Publication:

arXiv eprints
 Pub Date:
 August 1993
 arXiv:
 arXiv:hepth/9308108
 Bibcode:
 1993hep.th....8108P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 9 pages, latex, CERNTH.6946/93