Trace anomaly induced effective action and 2d black holes for dilaton coupled supersymmetric theories

Abstract

The action for 2d dilatonic supergravity with dilaton coupled matter and dilaton multiplets is constructed. Trace anomaly and anomaly induced effective action (in components as well as in supersymmetric form) for matter supermultiplet on bosonic background are found. The one-loop effective action and large-$N$ effective action for quantum dilatonic supergravity are also calculated. Using induced effective action one can estimate the back-reaction of dilaton coupled matter to the classical black hole solutions of dilatonic supergravity. That is done on the example of supersymmetric CGHS model with dilaton coupled quantum matter where Hawking radiation which turns out to be zero is calculated. Similar 2d analysis maybe used to study spherically symmetric collapse for other models of 4d supergravity.

21 pages, LaTeX, NDA-FP-37

References in corpus (5)

• Trace Anomaly of Dilaton Coupled Scalars in Two Dimensions
• Hawking Radiation for Non-minimally Coupled Matter from Generalized 2D Black Hole Models
• Trace anomaly induced effective action for 2D and 4D dilaton coupled scalars
• Trace Anomaly and Non-Local Effective Action for 2D Conformally Invariant Scalar Interacting with Dilaton
• Trace Anomaly Induced Effective Action and Hawking Radiation for 2d Dilatonic Supergravity

Cited by in corpus (7)

• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Induced wormholes due to quantum effects of spherically reduced matter in large N approximation
• Energy-momentum tensor for scalar fields coupled to the dilaton in two dimensions
• Effective action and Hawking radiation for dilaton coupled scalars in two dimensions
• On the Dimensional Reduction Procedure
• Quantum cosmology in the models of 2d and 4d dilatonic supergravity with WZ matter
• Conformal anomaly for 2d and 4d dilaton coupled spinors