N=1/2 supergravity with matter in four Euclidean dimensions

dc.creatorHatanaka, Tomoya
dc.creatorKetov, Sergei V.
dc.date2007-07-28
dc.date2007-10-11
dc.date.accessioned2026-07-07T11:18:14Z
dc.date.available2026-07-07T11:18:14Z
dc.descriptionAn N=1/2 supergravity in four Euclidean spacetime dimensions, coupled to both vector- and scalar-multiplet matter, is constructed for the first time. We begin with the standard (1,1) conformally extended supergravity in four Euclidean dimensions, and freeze out the graviphoton field strength to an arbitrary (fixed) self-dual field (the so-called C-deformation). Though a consistency of such procedure with local supersymmetry is not guaranteed, we find a simple consistent set of algebraic constraints that reduce the local supersymmetry by 3/4 and eliminate the corresponding gravitini. The final field theory (after the superconformal gauge-fixing) has the residual local N=(0,1/2) or just N=1/2 supersymmetry with only one chiral gravitino as the corresponding gauge field. Our theory is not `Lorentz'-invariant because of the non-vanishing self-dual graviphoton vacuum expectation value, which is common to the C-deformed N=1/2 rigidly supersymmetric field theories constructed in a non-anticommutative superspace.
dc.description21 pages, LaTeX, no figures; a reference added
dc.identifierhttps://arxiv.org/abs/0707.4218
dc.identifierhttp://arxiv.org/abs/0707.4218
dc.identifierNucl.Phys.B794:495-511,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.10.020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193273
dc.subjectHigh Energy Physics - Theory
dc.titleN=1/2 supergravity with matter in four Euclidean dimensions
dc.typetext

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