On Certain Kahler Quotients of Quaternionic Kahler Manifolds

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Erscheinungsjahr:
2013
Medientyp:
Text
Schlagworte:
  • Supergravity
  • Black holes (astronomy)
  • Vector multiplets
  • Gravitation
  • Black Holes (Astronomy)
  • Models
  • Supergravity
  • Black holes (astronomy)
  • Vector multiplets
  • Gravitation
  • Black Holes (Astronomy)
  • Models
Beschreibung:
  • We prove that, given a certain isometric action of a two-dimensional Abelian group A on a quaternionic Kahler manifold M which preserves a submanifold N aS, M, the quotient M' = N/A has a natural Kahler structure. We verify that the assumptions on the group action and on the submanifold N aS, M are satisfied for a large class of examples obtained from the supergravity c-map. In particular, we find that all quaternionic Kahler manifolds M in the image of the c-map admit an integrable complex structure compatible with the quaternionic structure, such that N aS, M is a complex submanifold. Finally, we discuss how the existence of the Kahler structure on M' is required by the consistency of spontaneous to supersymmetry breaking.
  • We prove that, given a certain isometric action of a two-dimensional Abelian group A on a quaternionic Kähler manifold M which preserves a submanifold N ⊂ M, the quotient M′ = N/A has a natural Kähler structure. We verify that the assumptions on the group action and on the submanifold N ⊂ M are satisfied for a large class of examples obtained from the supergravity c-map. In particular, we find that all quaternionic Kähler manifolds M in the image of the c-map admit an integrable complex structure compatible with the quaternionic structure, such that N ⊂ M is a complex submanifold. Finally, we discuss how the existence of the Kähler structure on M′ is required by the consistency of spontaneous N = 2 to N = 1 supersymmetry breaking. © 2012 Springer-Verlag.
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oai:www.edit.fis.uni-hamburg.de:publications/faecd424-476c-403f-9aa9-dbcba4719a36