KLEINIAN GEOMETRY AND THE N=2 SUPERSTRING Academic Article uri icon

abstract

  • 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 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 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 function equations. Finally we speculate on the deeper significance of some of these spacetimes.

published proceedings

  • INTERNATIONAL JOURNAL OF MODERN PHYSICS A

altmetric score

  • 3

author list (cited authors)

  • BARRETT, J., GIBBONS, G. W., PERRY, M. J., POPE, C. N., & RUBACK, P.

citation count

  • 68

complete list of authors

  • BARRETT, J||GIBBONS, GW||PERRY, MJ||POPE, CN||RUBACK, P

publication date

  • April 1994