Trace Anomaly Induced Effective Action and Hawking Radiation for 2d Dilatonic Supergravity

TL;DR

This paper develops a 2d dilatonic supergravity framework with matter, calculates trace anomalies and effective actions, and investigates black hole solutions and Hawking radiation, finding it to be zero in a specific supersymmetric model.

Contribution

It introduces a new 2d dilatonic supergravity theory with matter, computes trace anomalies and effective actions, and analyzes black hole radiation in a supersymmetric context.

Findings

Hawking radiation is zero in the supersymmetric CGHS model.

Provides a method to study spherically symmetric collapse in 4d using 2d models.

Calculates large-N effective action for dilatonic supergravity.

Abstract

We construct the theory of 2d dilatonic supergravity(SG) with matter and dilaton supermultiplets coupled to dilaton functions. Trace anomaly and induced effective action for matter supermultiplet are calculated (what gives also large-N effective action for dilatonic SG). Study of black holes and Hawking radiation which turns out to be zero in supersymmetric CGHS model with dilaton coupled matter is presented. In the same way one can study spherically symmetric collapse for other 4d SG using simplified 2d approach.