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arXiv · hep-th/0310173

Effective Supergravity Actions for Flop Transitions

Laur Jarv·Thomas Mohaupt·Frank Saueressig
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Abstract

We construct a family of five-dimensional gauged supergravity actions which describe flop transitions of M-theory compactified on Calabi-Yau threefolds. While the vector multiplet sector can be treated exactly, we use the Wolf spaces X(1+N) = U(1+N,2)/(U(1+N) x U(2)) to model the universal hypermultiplet together with N charged hypermultiplets corresponding to winding states of the M2-brane. The metric, the Killing vectors and the moment maps of these spaces are obtained explicitly by using the superconformal quotient construction of quaternion-Kahler manifolds. The inclusion of the extra hypermultiplets gives rise to a non-trivial scalar potential which is uniquely fixed by M-theory physics.

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Laur Jarv, Thomas Mohaupt, Frank Saueressig. 2003-10-20. Effective Supergravity Actions for Flop Transitions. https://doi.org/10.1088/1126-6708%2F2003%2F12%2F047

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