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, 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: |
05 Dec 2022 14:54 |
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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