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  Superconformal hypermultiplets

De Wit, B., Kleijn, B., & Vandoren, S. (2000). Superconformal hypermultiplets. Nuclear Physics B, 568(3), 475-502. doi:10.1016/S0550-3213(99)00726-9.

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De Wit, Bernard1, Author
Kleijn, Bas, Author
Vandoren, Stefan, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We present theories of N=2 hypermultiplets in four spacetime dimensions that are invariant under rigid or local superconformal symmetries. The target spaces of theories with rigid superconformal invariance are (4n)-dimensional {\it special} hyper-K\"ahler manifolds. Such manifolds can be described as cones over tri-Sasakian metrics and are locally the product of a flat four-dimensional space and a quaternionic manifold. The latter manifolds appear in the coupling of hypermultiplets to N=2 supergravity. We employ local sections of an Sp$(n)\times{\rm Sp}(1)$ bundle in the formulation of the Lagrangian and transformation rules, thus allowing for arbitrary coordinatizations of the hyper-K\"ahler and quaternionic manifolds.

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 Dates: 2000-03-06
 Publication Status: Issued
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 Identifiers: eDoc: 206144
URI: http://xxx.lanl.gov/abs/hep-th/9909228
Other: arXiv:hep-th/9909228v1
DOI: 10.1016/S0550-3213(99)00726-9
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Title: Nuclear Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 568 (3) Sequence Number: - Start / End Page: 475 - 502 Identifier: ISSN: 0550-3213