3 research outputs found
--Topological Field Theories by Cosetting
topological field theories based on WZW models are constructed
and studied. These coset models are formulated as Complex BRST cohomology in
, the complexified level current algebra. The finite physical
spectrum corresponds to the conformal blocks of .The amplitudes for
theories are argued to be given in terms of the fusion rules. The
character is the Kac-Weyl numerator of and is interpreted as an
index. The Complex BRST cohomology is found to contain states of arbitrary
ghost number. Intriguing similarities of to matter systems
coupled to two dimensional gravity are pointed out.Comment: 40 pages (52/2 if use the little option of harvmac.tex
Making a Universe
For understanding the origin of anisotropies in the cosmic microwave
background, rules to construct a quantized universe is proposed based on the
dynamical triangulation method of the simplicial quantum gravity. A
-dimensional universe having the topology is created numerically in
terms of a simplicial manifold with -simplices as the building blocks. The
space coordinates of a universe are identified on the boundary surface , and the time coordinate is defined along the direction perpendicular
to . Numerical simulations are made mainly for 2-dimensional
universes, and analyzed to examine appropriateness of the construction rules by
comparing to analytic results of the matrix model and the Liouville theory.
Furthermore, a simulation in 4-dimension is made, and the result suggests an
ability to analyze the observations on anisotropies by comparing to the scalar
curvature correlation of a -surface formed as the last scattering
surface in the universe.Comment: 27pages,18figures,using jpsj.st