Heisenberg symmetry and hypermultiplet manifolds

Antoniadis, Ignatios; Derendinger, Jean-Pierre; Marios Petropoulos, P.; Siampos, Konstadinos (2016). Heisenberg symmetry and hypermultiplet manifolds. Nuclear physics. B, 905, pp. 293-312. North Holland 10.1016/j.nuclphysb.2016.02.021

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We study the emergence of Heisenberg (Bianchi II) algebra in hyper-Kähler and quaternionic spaces. This is motivated by the rôle these spaces with this symmetry play in N = 2 hypermultiplet scalar manifolds. We show how to construct related pairs of hyper-Kähler and quaternionic spaces under general symmetry assumptions, the former being a zooming-in limit of the latter at vanishing scalar curvature. We further apply this method for the two hyper-Kähler spaces with Heisenberg algebra, which is reduced to U (1) × U (1) at the quaternionic level. We also show that no quaternionic spaces exist with a strict Heisenberg symmetry – as opposed to Heisenberg U (1). We finally discuss the realization of the latter by gauging appropriate Sp(2, 4) generators in N = 2 conformal supergravity.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Antoniadis, Ignatios; Derendinger, Jean-Pierre and Siampos, Konstadinos

Subjects:

500 Science > 530 Physics

ISSN:

0550-3213

Publisher:

North Holland

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

06 May 2016 14:40

Last Modified:

06 May 2016 14:40

Publisher DOI:

10.1016/j.nuclphysb.2016.02.021

BORIS DOI:

10.7892/boris.80048

URI:

https://boris.unibe.ch/id/eprint/80048

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