2,760 research outputs found
A Renormalized Supersymmetry in the Topological Yang-Mills Field Theory
We reconsider the algebraic BRS renormalization of Witten's topological
Yang-Mills field theory by making use of a vector supersymmetry Ward identity
which improves the finiteness properties of the model. The vector
supersymmetric structure is a common feature of several topological theories.
The most general local counterterm is determined and is shown to be a trivial
BRS-coboundary.Comment: 18 pages, report REF. TUW 94-10 and UGVA-DPT 1994/07-85
BF Topological Theories and Infinitely Reducible Systems
We present a rigurous disscusion for abelian theories in which the base
manifold of the bundle is homeomorphic to a Hilbert space. The theory
has an infinte number of stages of reducibility. We specify conditions on the
base manifold under which the covarinat quantization of the system can be
performed unambiguously. Applications of the formulation to the superparticle
and the supertstring are also discussed.Comment: 10 pages, Late
On Dijkgraaf-Witten Type Invariants
We explicitly construct a series of lattice models based upon the gauge group
which have the property of subdivision invariance, when the coupling
parameter is quantized and the field configurations are restricted to satisfy a
type of mod- flatness condition. The simplest model of this type yields the
Dijkgraaf-Witten invariant of a -manifold and is based upon a single link,
or -simplex, field. Depending upon the manifold's dimension, other models
may have more than one species of field variable, and these may be based on
higher dimensional simplices.Comment: 18 page
Cognition Without Construction: Kant, Maimon, and the Transcendental Philosophy of Mathematics
In the Critique of Pure Reason, Immanuel Kant takes the ostensive constructions characteristic of Euclidean-style demonstrations to be the paradigm of both mathematical proofs and synthetic a priori cognition in general. However, the development of calculus included a number of techniques for representing infinite series of sums or differences, which could not be represented with the direct geometrical demonstrations of the past. Salomon Maimon’s Essay on Transcendental Philosophy addresses precisely this disparity. Maimon, owing much to G. W. Leibniz, proposes that differentials of sensation achieve what Kantian constructions could not. More importantly, Maimon develops a kind of symbolic cognition that is not delimited by the constraint of the pure forms of intuition. The mind does not construct its objects, but constructs itself through inquiry into the real objects of thought
Birmingham’s Eastside story: making steps towards sustainability?
Sustainability has come to play a dominant discursive role in the UK planning system, particularly relating to urban regeneration. The purpose of this paper is to evaluate the role that sustainability plays in a major regeneration
programme, known as Eastside, currently underway in Birmingham, the UK. That this ÂŁ6 billion redevelopment is now widely talked about by such key players as Birmingham City Council and the Regional Development Agency, Advantage West Midlands, as having a central sustainability agenda points to the growing importance of the ideal of sustainability in planning and regeneration agendas. In this paper, we investigate in detail how and why sustainability has become part of the planning discourse for Eastside and critically evaluate what impact, if any, this is having on public policy decision-making
An Exact Black Hole Entropy Bound
We show that a Rademacher expansion can be used to establish an exact bound
for the entropy of black holes within a conformal field theory framework. This
convergent expansion includes all subleading corrections to the
Bekenstein-Hawking term.Comment: 6 pages, Latex, v2 minor re-wording, additional reference, to appear
in Phyical Review D (title changed in journal
A New Action Principle for Witten's Topological Field Theory
In this letter a new gauge invariant, metric independent action is introduced
from which Witten's Topological Quantum Field Theory may be obtained after
gauge fixing using standard BRST techniques. In our model the BRST algebra of
transformations, under which the effective action is invariant, close off-shell
in distintion with what occurs in the one proposed by Labastida and Pernici.
Our approach provides the geometrical principle for the quantum theory. We also
compare our results with an alternative formulation presented by Baulieu and
Singer.Comment: 8 pages, SB/F-94-22
Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions
We explore the relationship between classical quasinormal mode frequencies
and black hole quantum mechanics in 2+1 dimensions. Following a suggestion of
Hod, we identify the real part of the quasinormal frequencies with the
fundamental quanta of black hole mass and angular momentum. We find that this
identification leads to the correct quantum behavior of the asymptotic symmetry
algebra, and thus of the dual conformal field theory. Finally, we suggest a
further connection between quasinormal mode frequencies and the spectrum of a
set of nearly degenerate ground states whose multiplicity may be responsible
for the Bekenstein-Hawking entropy.Comment: 8 pages, LaTeX; references added and corrected, introduction and
conclusion slightly expande
Support of dS/CFT correspondence from perturbations of three dimensional spacetime
We discuss the relation between bulk de Sitter three-dimensional spacetime
and the corresponding conformal field theory at the boundary, in the framework
of the exact quasinormal mode spectrum. We show that the quasinormal mode
spectrum corresponds exactly to the spectrum of thermal excitations of
Conformal Field Theory at the past boundary I^-, together with the spectrum of
the Conformal Field Theory at the future boundary I^+.Comment: minor changes, new version accepted for publication in PL
Gauge symmetry breaking on orbifolds
We discuss a new method for gauge symmetry breaking in theories with one
extra dimension compactified on the orbifold S^1/Z_2. If we assume that fields
and their derivatives can jump at the orbifold fixed points, we can implement a
generalized Scherk-Schwarz mechanism that breaks the gauge symmetry. We show
that our model with discontinuous fields is equivalent to another with
continuous but non periodic fields; in our scheme localized lagrangian terms
for bulk fields appear.Comment: 6 pages, 2 figures. Talk given at the XXXVIIth Rencontres de Moriond,
"Electroweak interactions and unified theories", Les Arcs, France, 9-16 Mar
2002. Minor changes, one reference adde
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