dimensions

The Dirac Lagrangian is minimally coupled to the most general R + T + T-2-type Lagrangian in (1 + 2)-dimensions. The field equations are obtained from the total Lagrangian by a variational principle. The space-time torsion is calculated algebraically in terms of the Dirac condensate plus coupling coefficients. A family of circularly symmetric rotating exact solutions which is asymptotically three-dimensional anti-de Sitter is obtained. Finally, Banados-Teitelboim-Zanelli-like solutions are discussed. DOI: 10.1103/PhysRevD.86.12403