The geometry of duality

Paul Howe; Anders Karlhede; Ulf Lindström; Martin Roček

doi:10.1016/0370-2693(86)91466-8

The geometry of duality

Paul Howe
, Anders Karlhede
, Ulf Lindström
, Martin Roček

Institute for Theoretical Physics

King's College London
Stony Brook University

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

13 Scopus citations

Abstract

We show that supersymmetric nonlinear σ-model dynamics can be described by off-shell linear multiplets only on manifolds with isometries and identify the linear multiplets as Killing potentials for these symmetries. Possible obstructions to the construction of covariant Killing potentials may imply a clash between supersymmetry and the isometries of the manifold. When the linear multiplets are on-shell, we find that the isometries commute and that the duality is via the usual Legendre transform construction.

Original language	English
Pages (from-to)	89-92
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	168
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(86)91466-8
State	Published - Feb 27 1986

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title = "The geometry of duality",

abstract = "We show that supersymmetric nonlinear σ-model dynamics can be described by off-shell linear multiplets only on manifolds with isometries and identify the linear multiplets as Killing potentials for these symmetries. Possible obstructions to the construction of covariant Killing potentials may imply a clash between supersymmetry and the isometries of the manifold. When the linear multiplets are on-shell, we find that the isometries commute and that the duality is via the usual Legendre transform construction.",

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AU - Roček, Martin

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N2 - We show that supersymmetric nonlinear σ-model dynamics can be described by off-shell linear multiplets only on manifolds with isometries and identify the linear multiplets as Killing potentials for these symmetries. Possible obstructions to the construction of covariant Killing potentials may imply a clash between supersymmetry and the isometries of the manifold. When the linear multiplets are on-shell, we find that the isometries commute and that the duality is via the usual Legendre transform construction.

AB - We show that supersymmetric nonlinear σ-model dynamics can be described by off-shell linear multiplets only on manifolds with isometries and identify the linear multiplets as Killing potentials for these symmetries. Possible obstructions to the construction of covariant Killing potentials may imply a clash between supersymmetry and the isometries of the manifold. When the linear multiplets are on-shell, we find that the isometries commute and that the duality is via the usual Legendre transform construction.

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

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ER -

The geometry of duality

Abstract

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