1993/02/16 by J. BARRETT, J. Barrett, G. W. Gibbons +7 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Geometric and Algebraic Topology #hep-th
paper · pdf · doi:10.1142/s0217751x94000650
published as Int.J.Mod.Phys.A9:1457-1494,1994 · 30 pages, AMS-TeX
arxiv created 1993/02/16 · openalex publication_date 1994/04/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
This paper is devoted to the exploration of some of the geometrical issues raised by the N=2 superstring. We begin by reviewing the reasons that β-functions for the N=2 superstring require it to live in a four-dimensional self-dual spacetime of signature (--++), together with some of the arguments as to why the only degree of freedom in the theory is that described by the gravitational field. We then move on to describe at length the geometry of flat space, and how a real version of twistor theory is relevant to it. We then describe some of the more complicated spacetimes that satisfy the β-function equations. Finally we speculate on the deeper significance of some of these spacetimes.