Complex Gravity and Noncommutative Geometry
arXiv:hep-th/0010268 · doi:10.1142/S0217751X01003883
Abstract
The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. An immediate consequence of this is that all fields get complexified. By applying this idea to gravity one discovers that the metric becomes complex. Complex gravity is constructed by gauging the symmetry . The resulting action gives one specific form of nonsymmetric gravity. In contrast to other theories of nonsymmetric gravity the action is both unique and gauge invariant. It is argued that for this theory to be consistent one must prove the existence of generalized diffeomorphism invariance. The results are easily generalized to noncommutative spaces.
10 pages. Talk given at the Strings 2000 meeting, July 10-15 2000, University of Michigan, Ann Arbor
References in corpus (2)
Cited by in corpus (17)
- Topics in Noncommutative Geometry Inspired Physics
- Three-dimensional Noncommutative Gravity
- Noncommutative Einstein-AdS Gravity in three Dimensions
- Noncommutativity and Non-anticommutativity in Perturbative Quantum Gravity
- Finite field-dependent symmetries in perturbative quantum gravity
- Teleparallel Complex Gravity as Foundation for Noncommutative Gravity
- Perturbative Quantum Gravity on Complex Spacetime
- Generalized BRST Symmetry and Gaugeon Formalism for Perturbative Quantum Gravity: Novel Observation
- Gravity on a fuzzy sphere
- Perturbative quantum gravity in Batalin-Vilkovisky formalism
- Gaugeon Formalism for Perturbative Quantum Gravity
- Observables in a Noncommutative Unification of Quanta and Gravity. A Final Model
- Noncommutative AdS Supergravity in three Dimensions
- Blackbody radiation in κ-Minkowski spacetime
- Matrix model for noncommutative gravity and gravitational instantons
- Signatures of Noncommutative Geometry in Muon Decay for Nonsymmetric Gravity
- Understanding Beth, the Particulate Mass Functional