Spontaneous breaking of (2 + 1)-dimensional Lorentz symmetry by an antisymmetric tensor

Abstract

One kind of spontaneous (2+1)-dimensional Lorentz symmetry breaking is discussed. The symmetry breaking pattern is SO(2, 1) → SO(1, 1). Using the coset construction formalism, we derive the Goldstone covariant derivative and the associated covariant gauge field. Finally, the twoderivative low-energy effective action of the Nambu-Goldstone bosons is obtained. * Electronic address: huangjh@m.scnu.edu.cn