Conformal anomaly for 2D and 4D dilaton coupled spinors - art. no. 084014

We study quantum dilaton coupled spinors in two and four dimensions. Making a classical transformation of the metric, the dilaton coupled spinor theor y is transformed into the minimal spinor theory with another metric and in the 4D case a spinor also in the background of the nontrivial vector field. This makes it possible to calculate 2D and 4D dilaton-dependent conformal (or Weyl) anomalies easily. The anomaly-induced effective action for such s pinors is derived. In the 2D case, the effective action reproduces, without any extra terms, the term. added by hand in the quantum correction for the Russo-Susskind-Thorlacius model, which is exactly solvable. For the 4D spi nor the chiral anomaly which depends explicitly on the dilaton is also foun d. As some applications we discuss supersymmetric black holes (BH's) in dil atonic supergravity with Wess-Zumino-type matter and Hawking radiation in t he same theory. As another application we investigate spherically reduced E instein gravity with a 2D dilaton coupled fermion anomaly-induced effective action and show the existence of quantum-corrected Schwarzchild-de Sitter (Nariai) BH's with multiple horizons. [S0556-2821(99)01218-7].