Lattice Formulation of Two Dimensional Topological Field Theory

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dc.creatorOhta, Kazutoshi
dc.creatorTakimi, Tomohisa
dc.date2006-11-09
dc.date2006-11-21
dc.date.accessioned2026-07-07T11:01:54Z
dc.date.available2026-07-07T11:01:54Z
dc.descriptionWe investigate an integrable property and observables of 2 dimensional N=(4,4) topological field theory defined on a discrete lattice by using the "orbifolding" and "deconstruction" methods. We show that our lattice model possesses the integrability and the partition function reduces to matrix integrals of scalar fields on sites in consequence. We make clear meaningful differences between the discrete lattice and differentiable manifold, which would be important to a study of topological quantities on the lattice. We also propose a new construction of N=(2,2) supersymmetric lattice theory, which is realized by a suitable truncation of scalar fields from the N=(4,4) theory.
dc.description33 pages, 2 figures, references added, typos corrected
dc.identifierhttps://arxiv.org/abs/hep-lat/0611011
dc.identifierhttp://arxiv.org/abs/hep-lat/0611011
dc.identifierProg.Theor.Phys.117:317-345,2007
dc.identifierdoi:10.1143/PTP.117.317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188089
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleLattice Formulation of Two Dimensional Topological Field Theory
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