Fuzzy geometry via the spinor bundle, with applications to holographic space-time and matrix theory
Journal Article
·
· Physical Review. D, Particles Fields
- NHETC and Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854-8019 (United States)
- SCIPP and Department of Physics, University of California, Santa Cruz, California 95064-1077 (United States)
We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-flux operator. This framework does not require a symplectic form on the manifold, and is completely rotation invariant on an arbitrary n-sphere. The framework is motivated by the formalism of holographic space-time, whose fundamental variables are sections of the spinor bundle over a compact Euclidean manifold. The strong holographic principle requires the space of these sections to be finite dimensional. We discuss applications of fuzzy spinor geometry to holographic space-time and to matrix theory.
- OSTI ID:
- 21611517
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 84, Issue 8; Other Information: DOI: 10.1103/PhysRevD.84.086008; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Fuzzy geometry via the spinor bundle, with applications to holographic space-time and matrix theory
Currents in a theory of strong interaction based on a fiber bundle geometry
Bundles over moduli spaces and the quantisation of BPS monopoles. [BPS (Bogomol'nyi-Prasad-Sommerfield)]
Journal Article
·
Tue Oct 25 00:00:00 EDT 2011
· Physical Review D
·
OSTI ID:21611517
Currents in a theory of strong interaction based on a fiber bundle geometry
Journal Article
·
Sat Oct 01 00:00:00 EDT 1977
· Found. Phys.; (United States)
·
OSTI ID:21611517
Bundles over moduli spaces and the quantisation of BPS monopoles. [BPS (Bogomol'nyi-Prasad-Sommerfield)]
Journal Article
·
Sun Aug 01 00:00:00 EDT 1993
· Annals of Physics (New York); (United States)
·
OSTI ID:21611517