95 research outputs found
On a class of topological quantum field theories in three-dimensions
We investigate the Chung-Fukuma-Shapere theory, or Kuperberg theory, of
three-dimensional lattice topological field theory. We construct a functor
which satisfies the Atiyah's axioms of topological quantum field theory by
reformulating the theory as Turaev-Viro type state-sum theory on a triangulated
manifold. The theory can also be extended to give a topological invariant of
manifolds with boundary.Comment: 22 pages, LaTeX, 9 ps figures include
New Covariant Gauges in String Field Theory
A single-parameter family of covariant gauge fixing conditions in bosonic
string field theory is proposed. It is a natural string field counterpart of
the covariant gauge in the conventional gauge theory, which includes the Landau
gauge as well as the Feynman (Siegel) gauge as special cases. The action in the
Landau gauge is largely simplified in such a way that numerous component fields
have no derivatives in their kinetic terms and appear in at most quadratic in
the vertex.Comment: 24 page
Supersymmetric extended string field theory in NS^n sector and NS^{n-1}-R sector
We construct a class of quadratic gauge invariant actions for extended string
fields defined on the tensor product of open superstring state space for
multiple open string Neveu-Schwarz (NS) sectors with or without one Ramond (R)
sector. The basic idea is the same as for the bosonic extended string field
theory developed by the authors [arXiv:1309.3850]. The theory for NS^n sector
and NS^{n-1}-R sector contains general n-th rank tensor fields and (n-1)-th
rank spinor-tensor fields in the massless spectrum respectively. In principle,
consistent gauge invariant actions for any generic type of 10-dimensional
massive or massless tensor or spinor-tensor fields can be extracted from the
theory. We discuss some simple examples of bosonic and fermionic massless
actions.Comment: 25 page
On three-dimensional topological field theories constructed from for finite group
We investigate the 3d lattice topological field theories defined by Chung,
Fukuma and Shapere. We concentrate on the model defined by taking a deformation
\D{G} of the quantum double of a finite commutative group as the
underlying Hopf algebra. It is suggested that Chung-Fukuma-Shapere partition
function is related to that of Dijkgraaf-Witten by \zcfs = |\zdw|^2 when
. For , such a relation does not hold.Comment: 13 pages, 3 PS figures include
Physical state representations and gauge fixing in string theory
We re-examine physical state representations in the covariant quantization of
bosonic string. We especially consider one parameter family of gauge fixing
conditions for the residual gauge symmetry due to null states (or BRST exact
states), and obtain explicit representations of observable Hilbert space which
include those of the DDF states. This analysis is aimed at giving a necessary
ingredient for the complete gauge fixing procedures of covariant string field
theory such as temporal or light-cone gauge.Comment: 16 page
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