Mathematics – Logic
Scientific paper
Nov 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005yrst.book..311b&link_type=abstract
In: 100 years of relativity. Editor: Abhay Ashtekar. Singapore: World Scientific, ISBN 981-256-394-6, 2005, p. 311 - 349
Mathematics
Logic
String Theory, Space-Time
Scientific paper
This paper explores the holographic description of space-time in string theory. Super-Poincare invariant versions of the theory are described by moduli spaces of S-matrices. The parameters describing the S-matrix have geometrical interpretations in extreme regions of the moduli space, but the S-matrix interpolates smoothly between compact spaces of radically different topology. Asymptotically Anti-de Sitter universes are defined by quantum field theories living on the conformal boundary of AdS space. The geometry of compact factors in the space-time is encoded in internal degrees of freedom of the field theory. The cosmological constant is a discrete input parameter determining the high energy behavior of the system. Later sections discuss the description of stable or unstable de Sitter space-times, and the associated question of the breaking of Supersymmetry, as well as a conjectural holographic theory of quantum space-time geometry.
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