Consistent Truncation to Three Dimensional (Super-)gravity

Details Consistent Truncation to Three Dimensional (Super-)gravity Consistent Truncation to Three Dimensional (Super-)gravity

2007-10-23

arxiv.org/abs/0710.4177v1

JHEP 0803:015,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 22 pages

Scientific paper

10.1088/1126-6708/2008/03/015

For a general three dimensional theory of (super-)gravity coupled to arbitrary matter fields with arbitrary set of higher derivative terms in the effective action, we give an algorithm for consistently truncating the theory to a theory of pure (super-)gravity with the gravitational sector containing only Einstein-Hilbert, cosmological constant and Chern-Simons terms. We also outline the procedure for finding the parameters of the truncated theory. As an example we consider dimensional reduction on S^2 of the 5-dimensional minimal supergravity with curvature squared terms and obtain the truncated theory without any curvature squared terms. This truncated theory reproduces correctly the exact central charge of the boundary CFT.

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