Speaker
Dr
Tomohisa Takimi
(Theoretical Physics Laboratory, The Institute of Physical and Chemical Research (RIKEN))
Description
We 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.
Author
Dr
Tomohisa Takimi
(Theoretical Physics Laboratory, The Institute of Physical and Chemical Research (RIKEN))
