Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-01-28
Phys.Rev.D57:4847-4855,1998
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, LaTeX, NDA-FP-37
Scientific paper
10.1103/PhysRevD.57.4847
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.
Nojiri Shin'ichi
Odintsov Sergei D.
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