`A "Very Special" Non-Extremal Black Hole in N=2,d=4 Supergravity'
Abstract:
After a very brief outline of the construction of a theory with n vector
multiplets coupled to N=2 supergravity in four-dimensions, we restrict
ourselves to the quantum deformed STU model. This "very special"
model is of particular interest because of its stringy implications and we
shall spend the rest of the talk discussing how to find static, axion-free
black hole solutions to this model. To do this we perform a timelike
dimensional reduction of the theory, allowing us to find an instanton solution
to the three-dimensional Euclidean theory that can then be dimensionally lifted
back to four-dimensions to produce a black hole. We encounter some problems in
finding the most general solution due to the block structure of the metric
associated with this model but we discuss one possible approach that still
allows us to obtain a solution.