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arXiv · 0710.4177

Consistent Truncation to Three Dimensional (Super-)gravity

Rajesh Kumar Gupta·Ashoke Sen
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Abstract

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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Rajesh Kumar Gupta, Ashoke Sen. 2007-10-23. Consistent Truncation to Three Dimensional (Super-)gravity. https://doi.org/10.1088/1126-6708%2F2008%2F03%2F015

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