Lorentz violation with an antisymmetric tensor

Understand

Field theories with spontaneous Lorentz violation involving an antisymmetric 2-tensor are studied.

• A general action including nonminimal gravitational couplings is constructed, and features of the Nambu-Goldstone and massive modes are discussed.
• Minimal models in Minkowski spacetime exhibit dualities with Lorentz-violating vector and scalar theories.
• The post-newtonian expansion for nonminimal models in Riemann spacetime involves qualitatively new features, including the absence of an isotropic limit.