Lattice Formulation of a Two-Dimensional Topological Field Theory(Particles and Fields)

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概要

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• We investigate an integrable property and the observables of 2-dimensional Ν=(4, 4) topological field theory defined on a discrete lattice by using the "orbifolding" and "deconstruction" methods. We show that our lattice model is integrable and, for this reason, the partition function reduces to matrix integrals of scalar fields on the lattice sites. We elucidate meaningful differences between a discrete lattice and a differentiable manifold. This is important for studying topological quantities on a lattice. We also propose a new construction of Ν=(2, 2) supersymmetric lattice theory, which is realized through a suitable truncation of scalar fields from the Ν=(4, 4) theory.

• 理論物理学刊行会の論文
• 2007-02-25

著者

• TAKIMI Tomohisa

  Theoretical Physics Laboratory

• Ohta Kazutoshi

  Department Of Physics Graduate School Of Science Tohoku Universit

• Ohta Kazutoshi

  Department Of Physics Graduate School Of Science Osaka University

• Takimi Tomohisa

  Theoretical Physics Laboratory The Institute Of Physical And Chemical Research (riken):yukawa Instit

• TAKIMI Tomohisa

  Theoretical Physics Laboratory, The Institute of Physical and Chemical Research (RIKEN):Yukawa Institute for Theoretical Physics, Kyoto University

• TAKIMI Tomohisa

  Theoretical Physics Laboratory:Yukawa Institute for Theoretical Physics, Kyoto University

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