Partial breaking in the rigid limit of gauged supergravity

Laamara, R Ahl (LPHE-MS, Science Faculty, Mohammed V University, Rabat, Morocco) (Centre Régional des Metiers de L’Education et de La Formation, Fès-Meknès, Morocco) (Centre of Physics and Mathematics, CPM-Morocco) ; Saidi, E H (LPHE-MS, Science Faculty, Mohammed V University, Rabat, Morocco) (Centre of Physics and Mathematics, CPM-Morocco) ; Vall, M (LPHE-MS, Science Faculty, Mohammed V University, Rabat, Morocco) (Centre of Physics and Mathematics, CPM-Morocco)

30 November 2017

Abstract: Using a new method to rescale fields in gauged supergravity with vector multiplets and hypermultiplets, we develop the explicit derivation of the rigid limit of quaternionic isometry Ward identities agreeing with known results. We show that the rigid limit can be achieved, amongst other ways, by performing two successive transformations on the covariantly holomorphic sections of the special Kähler manifold: a particular symplectic change followed by a particular Kähler transformation. We also give a geometric interpretation of the parameters used in [L. Andrianopoli, P. Concha, R. D’Auria, E. Rodriguez, and M. Trigiante, J. High Energy Phys. 2015, 61 (2015) [arXiv:1508.01474]] to deal with the expansion of the holomorphic prepotential of the theory. We give as well a D-brane realization of gauged quaternionic isometries and an interpretation of the embedding tensor in terms of type IIA/IIB mirror symmetry. Moreover, we construct explicit metrics for a new family of -dimensional quaternionic manifolds classified by ADE Lie algebras generalizing the SO(1,4)/SO(4) geometry which corresponds to . The conditions of the partial breaking of supersymmetry in the rigid limit are also derived for both the observable and the hidden sectors. Other features are also studied.


Published in: PTEP 2017 (2017) 113B04
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/ptx146
arXiv: 1704.05686
License: CC-BY-3.0



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