Interactions for a collection of spin-two fields intermediated by a massless p-form
arXiv:0705.3210 · doi:10.1016/j.nuclphysb.2007.10.007
Abstract
Under the general hypotheses of locality, smoothness of interactions in the coupling constant, Poincare invariance, Lorentz covariance, and preservation of the number of derivatives on each field, we investigate the cross-couplings of one or several spin-two fields to a massless p-form. Two complementary cases arise. The first case is related to the standard interactions from General Relativity, but the second case describes a new, special type of couplings in D=p+2 spacetime dimensions, which break the PT-invariance. Nevertheless, no consistent, indirect cross-interactions among different gravitons with a positively defined metric in internal space can be constructed.
LaTeX; the content of v2 has been changed, some former results have been changed, new material has been added; accepted for publication in Nuclear Physics B
References in corpus (13)
- Local BRST cohomology in gauge theories
- Self-Interaction and Gauge Invariance
- Consistent couplings between fields with a gauge freedom and deformations of the master equation
- Local BRST cohomology in the antifield formalism: I. General theorems
- Inconsistency of interacting, multi-graviton theories
- Consistent Spin-Two Coupling and Quadratic Gravitation
- All consistent interactions for exterior form gauge fields
- Characteristic cohomology of -form gauge theories
- A note on the uniqueness of D=4 N=1 Supergravity
- Couplings between generalized gauge fields
- An Exotic Theory of Massless Spin-Two Fields in Three Dimensions
- No multi-graviton theories in the presence of a Dirac field
- No interactions for a collection of spin-two fields intermediated by a massive Rarita-Schwinger field