A geometrical approach to N=2 super Yang-Mills theory on the two dimensional lattice

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dc.creatorCatterall, Simon
dc.date2004-10-28
dc.date2004-11-05
dc.date.accessioned2026-07-07T10:48:26Z
dc.date.available2026-07-07T10:48:26Z
dc.descriptionWe propose a discretization of two dimensional Euclidean Yang-Mills theories with N=2 supersymmetry which preserves exactly both gauge invariance and an element of supersymmetry. The approach starts from the twisted form of the continuum super Yang Mills action which we show may be written in terms of two real Kahler-Dirac fields whose components transform into each other under the twisted supersymmetry. Once the theory is written in this geometrical language it is straightforward to discretize by mapping the component tensor fields to appropriate geometrical structures in the lattice and by replacing the continuum exterior derivative and its adjoint by appropriate lattice covariant difference operators. The lattice action is local and possesses a unique vacuum state while the use of Kahler-Dirac fermions ensures the model does not exhibit spectrum doubling.
dc.descriptionMinor typos fixed. Version to be published in JHEP
dc.identifierhttps://arxiv.org/abs/hep-lat/0410052
dc.identifierhttp://arxiv.org/abs/hep-lat/0410052
dc.identifierJHEP0411:006,2004
dc.identifierdoi:10.1088/1126-6708/2004/11/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183875
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleA geometrical approach to N=2 super Yang-Mills theory on the two dimensional lattice
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