Parity violating spin-two gauge theories

Abstract

Nonlinear covariant parity-violating deformations of free spin-two gauge theory are studied in n>2 spacetime dimensions, using a linearized frame and spin-connection formalism, for a set of massless spin-two fields. It is shown that the only such deformations yielding field equations with a second order quasilinear form are the novel algebra-valued types in n=3 and n=5 dimensions already found in some recent related work concentrating on lowest order deformations. The complete form of the deformation to all orders in n=5 dimensions is worked out here and some features of the resulting new algebra-valued spin-two gauge theory are discussed. In particular, the internal algebra underlying this theory on 5-dimensional Minkowski space is shown to cause the energy for the spin-two fields to be of indefinite sign. Finally, a Kaluza-Klein reduction to n=4 dimensions is derived, giving a parity-violating nonlinear gauge theory of a coupled set of spin-two, spin-one, and spin-zero massless fields.

17 pages

References in corpus (3)

• Self-Interaction and Gauge Invariance
• An Exotic Theory of Massless Spin-Two Fields in Three Dimensions
• On multi-graviton and multi-gravitino gauge theories

Cited by in corpus (8)

• Parity violating vertices for spin-3 gauge fields
• Rainbow Valley of Colored (Anti) de Sitter Gravity in Three Dimensions
• On Dual Formulation of Gravity
• Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model
• No cross-interactions among different tensor fields with the mixed symmetry (3,1) intermediated by a vector field
• Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds
• Yes-go cross-couplings in collections of tensor fields with mixed symmetries of the type (3,1) and (2,2)
• Wald type analysis for spin-one fields in three dimensions