Lattice Formulation of a Two-Dimensional Topological Field Theory | Zendy

Kazutoshi Ohta | Zendy; Tomohisa Takimi | Zendy

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Lattice Formulation of a Two-Dimensional Topological Field Theory

Author(s) -

Kazutoshi Ohta,

Tomohisa Takimi

Publication year - 2007

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.117.317

Subject(s) - physics , lattice field theory , integrable system , lattice (music) , lattice model (finance) , observable , topological quantum number , quantum field theory , scalar field , theoretical physics , scalar field theory , mathematical physics , topology (electrical circuits) , quantum mechanics , gauge theory , mathematics , quantum gravity , quantum , nuclear magnetic resonance , combinatorics , acoustics , polymer

We investigate an integrable property and observables of 2 dimensionalN=(4,4) topological field theory defined on a discrete lattice by using the"orbifolding" and "deconstruction" methods. We show that our lattice modelpossesses the integrability and the partition function reduces to matrixintegrals of scalar fields on sites in consequence. We make clear meaningfuldifferences between the discrete lattice and differentiable manifold, whichwould be important to a study of topological quantities on the lattice. We alsopropose a new construction of N=(2,2) supersymmetric lattice theory, which isrealized by a suitable truncation of scalar fields from the N=(4,4) theory.Comment: 33 pages, 2 figures, references added, typos correcte

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