Two-Dimensional Dilaton-Gravity Coupled to Massless Spinors
Marco Cavaglia (AEI Potsdam), Lorenzo Fatibene (Univ. Torino), Mauro, Francaviglia (Univ. Torino)
TL;DR
This paper develops a formalism for two-dimensional spinor-dilaton-gravity, finding exact solutions for specific dilatonic potentials, including a fully solvable case and solutions with symmetries.
Contribution
It introduces a well-defined geometric formalism for spinor-dilaton-gravity in 2D and derives exact solutions for particular dilatonic potentials.
Findings
Complete solution for constant dilatonic potential
Exact solutions with Killing vectors for linear and exponential potentials
Formalism applicable to general 2D spinor-dilaton-gravity models
Abstract
We apply a global and geometrically well-defined formalism for spinor-dilaton-gravity to two-dimensional manifolds. We discuss the general formalism and focus attention on some particular choices of the dilatonic potential. For constant dilatonic potential the model turns out to be completely solvable and the general solution is found. For linear and exponential dilatonic potentials we present the class of exact solutions with a Killing vector.
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