학술논문
Kleinian geometry and the $N=2$ superstring.
Document Type
Journal
Author
Barrett, J. (4-NOTT) AMS Author Profile; Gibbons, G. W. (4-CAMB-A) AMS Author Profile; Perry, M. J. (4-CAMB-A) AMS Author Profile; Pope, C. N. (1-TXAM-P) AMS Author Profile; Ruback, P. AMS Author Profile
Source
Subject
53 Differential geometry -- 53C Global differential geometry
53C80Applications to physics
81Quantum theory -- 81R Groups and algebras in quantum theory
81R25Spinor and twistor methods
81Quantum theory -- 81V Applications to specific physical systems
81V17Gravitational interaction
53C80
81
81R25
81
81V17
Language
English
Abstract
Summary: ``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 $\beta$-functions for the $N=2$ superstring require it to live in a four-dimensional self-dual space-time 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 space-times that satisfy the $\beta$-function equations. Finally we speculate on the deeper significance of some of these space-times.''