Abstract
We study off-shell rigid limits for the kinetic and scalar-potential terms of a single \( \mathcal{N} \) = 2 hypermultiplet. In the kinetic term, these rigid limits establish relations between four-dimensional quaternion-Kähler and hyper-Kähler target spaces with symmetry. The scalar potential is obtained by gauging the graviphoton along an isometry of the quaternion-Kähler space. The rigid limits unveil two distinct cases. A rigid \( \mathcal{N} \) = 2 theory on Minkowski or on AdS4 spacetime, depending on whether the isometry is translational or rotational respectively. We apply these results to the quaternion-Kähler space with Heisenberg ⋉ U(1) isometry, which describes the universal hypermultiplet at type-II string one-loop.
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ArXiv ePrint: 1611.00964
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Antoniadis, I., Derendinger, JP., Petropoulos, P.M. et al. Isometries, gaugings and \( \mathcal{N} \) = 2 supergravity decoupling. J. High Energ. Phys. 2016, 169 (2016). https://doi.org/10.1007/JHEP11(2016)169
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DOI: https://doi.org/10.1007/JHEP11(2016)169