Isometries, gaugings and $ \mathcal{N} $ = 2 supergravity decoupling

Abstract : We study off-shell rigid limits for the kinetic and scalar-potential terms os a single N=2 hypermultiplet. In the kinetic term, these rigid limits establish relations between four-dimensional quaternion-Kahler and hyper-Kahler target spaces with symmetry. The scalar potential is obtained by gauging the graviphoton along an isometry of the quaternion-Kahler space. The rigid limits unveil two distinct cases. A rigid N=2 theory on Minkowski or on AdS_4 spacetime, depending on whether the isometry is translational or rotational respectively. We apply these results to the quaternion-Kahler space with Heisenberg x U(1) isometry, which describes the universal hypermultiplet at type-II string one-loop.
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Ignatios Antoniadis, Jean-Pierre Derendinger, P. Petropoulos, Konstantinos Siampos. Isometries, gaugings and $ \mathcal{N} $ = 2 supergravity decoupling. JHEP, 2016, <10.1007/JHEP11(2016)169>. <hal-01554798>



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