2,559 research outputs found
and Anomalies of Self-Dual Einstein Theories
This manuscripts corrects some minor error in the paper, Mod. Phys. Lett. A 6
1893 (1991)Comment: (revised due to TeXnical errors), 11 page
Applications of W-algebras to BF theories, QCD and 4D Gravity
We are able to show that BF theories naturally emerge from the coadjoint
orbits of and algebras which includes a Kac-Moody sector.
Since QCD strings can be identified with a BF theory, we are able to show a
relationship between the orbits and monopole-string solutions of QCD.
Furthermore, we observe that when 4D gravitation is cast into a BF form through
the use of Ashtekar variables, we are able to get order contributions
to gravity which can be associated with the anomaly. We comment on the
relationship to gravitational monopoles.Comment: 14 page
Short Distance Expansion from the Dual Representation of Infinite Dimensional Lie Algebras
We compute the short distance expansion of fields or operators that live in
the coadjoint representation of an infinite dimensional Lie algebra by using
only properties of the adjoint representation and its dual. We explicitly
compute the short distance expansion for the duals of the Virasoro algebra,
affine Lie Algebras and the geometrically realized N-extended supersymmetric GR
Virasoro algebra.Comment: 19 pages, LaTeX twice, no figure, replacement has corrected Lie
algebr
Superspace Geometrical Realization of the N-Extended Super Virasoro Algebra and its Dual
We derive properties of N-extended GR super Virasoro algebras. These include
adding central extensions, identification of all primary fields and the action
of the adjoint representation on its dual. The final result suggest
identification with the spectrum of fields in supergravity theories and
superstring/M-theory constructed from NSR N-extended supersymmetric Virasoro algebras.Comment: 17 pages Latex Typos in TeX file has been correcte
Stretched exponentials and power laws in granular avalanching
We introduce a model for granular avalanching which exhibits both stretched exponential and power law avalanching over its parameter range. Two modes of transport are incorporated, a rolling layer consisting of individual particles and the overdamped, sliding motion of particle clusters. The crossover in behaviour observed in experiments on piles of rice is attributed to a change in the dominant mode of transport. We predict that power law avalanching will be observed whenever surface flow is dominated by clustered motion.
Comment: 8 pages, more concise and some points clarified
Interactions of a String Inspired Graviton Field
We continue to explore the possibility that the graviton in two dimensions is
related to a quadratic differential that appears in the anomalous contribution
of the gravitational effective action for chiral fermions. A higher dimensional
analogue of this field might exist as well. We improve the defining action for
this diffeomorphism tensor field and establish a principle for how it interacts
with other fields and with point particles in any dimension. All interactions
are related to the action of the diffeomorphism group. We discuss possible
interpretations of this field.Comment: 12 pages, more readable, references adde
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