N= 4 mechanics with diverse (4, 4, 0) multiplets: Explicit examples of hyper-Kähler with torsion, Clifford Kähler with torsion, and octonionic Kähler with torsion geometries

Journal Article · Thu May 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4871440· OSTI ID:22250638

Fedoruk, Sergey; Ivanov, Evgeny ^[1]; Smilga, Andrei ^[2]

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1. Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow Region (Russian Federation)
2. SUBATECH, Université de Nantes, 4 rue Alfred Kastler, BP 20722, Nantes 44307 (France)

We present simple models of N= 4 supersymmetric mechanics with ordinary and mirror linear (4, 4, 0) multiplets that give a transparent description of Hyper-Kähler with Torsion (HKT), Clifford Kähler with Torsion (CKT), and Octonionic Kähler with Torsion (OKT) geometries. These models are treated in the N= 4 and N=2 superfield approaches, as well as in the component approach. Our study makes manifest that the CKT and OKT supersymmetric sigma models are distinguished from the more simple HKT models by the presence of extra holomorphic torsion terms in the supercharges.

• OSTI ID: 22250638
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GEOMETRY
MULTIPLETS
SIGMA MODEL
SUPERSYMMETRY
TORSION