| Mathematics Department Theoretical Physics Group |
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Dr Jan Gutowski
Department of Mathematics
Room 403 / S4.03 |
My research is
primarily in classifications of supergravity solutions. As
supergravity theories describe the low-energy
limit of string theory/M-theory, a better understanding of the
solutions of supergravity theories is required. I have worked
on a number of projects constructing classifications of
supersymmetric solutions of a number of supergravity theories,
both in low (D=4,5) and in higher (D=10,11) dimensions.
These
classifications are constructive, i.e. they provide algorithms for
finding new solutions, such as new black holes.
Examples of these are new asymptotically Anti-de-Sitter black
holes in five dimensions, and new, asymptotically
flat "black Saturn" solutions, consisting of an arbitrary number
of concentric black rings with a black hole in the
middle. Black hole uniqueness theorems can also be constructed
using related techniques. In a number of cases, it is
also possible to prove non-existence theorems, for example, I have
worked on proofs that there are no solutions preserving
31/32 of the supersymmetry in D=11 supergravity, and also no
solutions preserving 29/32, 30/32 or 31/32 of the
supersymmetry in type IIB supergravity in ten dimensions. By
expanding on this programme of classification, it will
be possible to come to a better understanding of the types
of solutions which are of importance in the context of
black hole physics and string theory.
1) U. Gran, J. B. Gutowski, G. Papadopoulos and D. Roest, N=31, D=11,
JHEP 0702 (2007) 043; [hep-th/0610331].
2) U. Gran, J. B. Gutowski and G. Papadopoulos, The Spinorial Geometry of Supersymmetric
IIB backgrounds, Class. Quant. Grav. 22 (2005) 2453; [hep-th/0501177].
3) J. P. Gauntlett, J. B. Gutowski, Concentric Black Rings,
Phys. Rev. D71 (2005) 025013; [hep-th/0408010].
4) J. B. Gutowski and H. S. Reall, General Supersymmetric AdS5 Black Holes,
JHEP 0404 (2004) 048; [hep-th/0401129].
See here for my private page
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