N=2 supersymmetric S² → ℂℙ³ → S⁴ fibration viewed as superparticle mechanics

authored by

N. Kozyrev, S. Krivonos, O. Lechtenfeld

Abstract

We discuss a Hamiltonian reduction procedure that relates the mechanics of an =2 particle on ³ with the motion of such a superparticle on ⁴ in the presence of an instanton background. The key ingredients of the bosonic fibration ² → ³ → ⁴ are recalled from the viewpoint of particle mechanics on ³. We describe an = 2 supersymmetric extension which allows for a Hamiltonian reduction. The ² degrees of freedom are encoded in the supercharges via SU(2) currents. Finally, we present the Hamiltonian of our system and its superfield Lagrangian.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)

Type

Konferenzaufsatz in Fachzeitschrift

Journal

Journal of Physics: Conference Series

Volume

411

ISSN

1742-6588

Publication date

2013

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Physik und Astronomie (insg.)

Electronic version(s)

https://doi.org/10.1088/1742-6596/411/1/012019 (Access: Unbekannt)