We give a geometric argument to understand the relative strength of the metric and torsion terms that constitute the covariant actions for freely propagating superstrings. We show the relative strength is precisely that for which the torsion flattens the underlying superspace manifold, i.e. for which geometrostasis occurs, thereby yielding trivially integrable systems on the world-sheet, in complete analogy with conventional two-dimensional σ-models. We fully discuss free heterotic superstrings, and give partial results for N = 2 superstrings.
ASJC Scopus subject areas
- Nuclear and High Energy Physics