Gauging isometries on hyperkähler cones and quaternion-Kähler manifolds

Bernard De Wit; Martin Roček; Stefan Vandoren

doi:10.1016/S0370-2693(01)00636-0

Gauging isometries on hyperkähler cones and quaternion-Kähler manifolds

Bernard De Wit
, Martin Roček
, Stefan Vandoren

Institute for Theoretical Physics

Utrecht University
Stony Brook University

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

Abstract

We extend our previous results on the relation between quaternion-Kähler manifolds and hyperkähler cones and we describe how isometries, moment maps and scalar potentials descend from the cone to the quaternion-Kähler space. As an example of the general construction, we discuss the gauging and the corresponding scalar potential of hypermultiplets with the unitary Wolf spaces as target spaces. This class includes the universal hypermultiplet.

Original language	English
Pages (from-to)	302-310
Number of pages	9
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	511
Issue number	2-4
DOIs	https://doi.org/10.1016/S0370-2693(01)00636-0
State	Published - Jul 5 2001

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title = "Gauging isometries on hyperk{\"a}hler cones and quaternion-K{\"a}hler manifolds",

abstract = "We extend our previous results on the relation between quaternion-K{\"a}hler manifolds and hyperk{\"a}hler cones and we describe how isometries, moment maps and scalar potentials descend from the cone to the quaternion-K{\"a}hler space. As an example of the general construction, we discuss the gauging and the corresponding scalar potential of hypermultiplets with the unitary Wolf spaces as target spaces. This class includes the universal hypermultiplet.",

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AU - Roček, Martin

AU - Vandoren, Stefan

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N2 - We extend our previous results on the relation between quaternion-Kähler manifolds and hyperkähler cones and we describe how isometries, moment maps and scalar potentials descend from the cone to the quaternion-Kähler space. As an example of the general construction, we discuss the gauging and the corresponding scalar potential of hypermultiplets with the unitary Wolf spaces as target spaces. This class includes the universal hypermultiplet.

AB - We extend our previous results on the relation between quaternion-Kähler manifolds and hyperkähler cones and we describe how isometries, moment maps and scalar potentials descend from the cone to the quaternion-Kähler space. As an example of the general construction, we discuss the gauging and the corresponding scalar potential of hypermultiplets with the unitary Wolf spaces as target spaces. This class includes the universal hypermultiplet.

UR - https://www.scopus.com/pages/publications/18244415988

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DO - 10.1016/S0370-2693(01)00636-0

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SN - 0370-2693

VL - 511

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EP - 310

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2-4

ER -

Gauging isometries on hyperkähler cones and quaternion-Kähler manifolds

Abstract

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