期刊
GENERAL RELATIVITY AND GRAVITATION
卷 36, 期 12, 页码 2605-2634出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1023/B:GERG.0000048962.79491.a3
关键词
gravity; W-gravity; gauge theories; holography; Moyal Star products; strings; branes
Moyal noncommutative star-product deformations of higher-dimensional gravitational Einstein-Hilbert actions via lower-dimensional SU(infinity), W-infinity gauge theories are constructed explicitly based on the holographic reduction principle. New reparametrization invariant p-brane actions and their Moyal star product deformations follows. It is conjectured that topological Chern-Simons brane actions associated with higher-dimensional knots have a one-to-one correspondence with topological Chern-Simons Matrix models in the large N limit. The corresponding large N limit of Topological BF Matrix models leads to Kalb-Ramond couplings of antisymmetric-tensor fields to p-branes. The former Chern-Simons branes display higher-spin W-infinity symmetries which are very relevant in the study of W-infinity Gravity, the Quantum Hall effect and its higher-dimensional generalizations. We conclude by arguing why this interplay between condensed matter models, higher-dimensional extensions of the Quantum Hall effect, Chern-Simons Matrix models and Gravity needs to be investigated further within the framework of W-infinity Gauge theories.
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