7,489 research outputs found
Charged Conformal Killing Spinors
We study the twistor equation on pseudo-Riemannian manifolds whose
solutions we call charged conformal Killing spinors (CCKS). We derive several
integrability conditions for the existence of CCKS and study their relations to
spinor bilinears. A construction principle for Lorentzian manifolds admitting
CCKS with nontrivial charge starting from CR-geometry is presented. We obtain a
partial classification result in the Lorentzian case under the additional
assumption that the associated Dirac current is normal conformal and complete
the Classification of manifolds admitting CCKS in all dimensions and signatures
which has recently been initiated in the study of supersymmetric field
theories on curved space.Comment: 26 pages v2: typos corrected, minor change
Conformal superalgebras via tractor calculus
We use the manifestly conformally invariant description of a Lorentzian
conformal structure in terms of a parabolic Cartan geometry in order to
introduce a superalgebra structure on the space of twistor spinors and normal
conformal vector fields formulated in purely algebraic terms on parallel
sections in tractor bundles. Via a fixed metric in the conformal class, one
reproduces a conformal superalgebra structure which has been considered in the
literature before. The tractor approach, however, makes clear that the failure
of this object to be a Lie superalgebra in certain cases is due to purely
algebraic identities on the spinor module and to special properties of the
conformal holonomy representation. Moreover, it naturally generalizes to higher
signatures. This yields new formulas for constructing new twistor spinors and
higher order normal conformal Killing forms out of existing ones, generalizing
the well-known spinorial Lie derivative. Moreover, we derive restrictions on
the possible dimension of the space of twistor spinors in any metric signature.Comment: 36 page
Exclusive measurements for SUSY events with the ATLAS detector at the LHC
We present recent work performed in ATLAS on techniques used to reconstruct
the decays of SUSY particles at the LHC. We concentrate on strategies to be
applied to the first fb-1 of LHC data.Comment: ICHEP0
Baker's First-person Perspectives: They Are Not What They Seem
Lynne Baker's concept of a first-person perspective is not as clear and straightforward as it might seem at first glance. There is a discrepancy between her argumentation that we have first-person perspectives and some characteristics she takes first-person perspectives to have, namely, that the instances of this capacity necessarily persist through time and are indivisible and unduplicable. Moreover, these characteristics cause serious problems concerning personal identity
Wilson Loops in N=2 Superconformal Yang-Mills Theory
We present a three-loop O(g^6) calculation of the difference between the
expectation values of Wilson loops evaluated in N=4 and superconformal N=2
supersymmetric Yang-Mills theory with gauge group SU(N) using dimensional
reduction. We find a massive reduction of required Feynman diagrams, leaving
only certain two-matter-loop corrections to the gauge field and associated
scalar propagator. This "diagrammatic difference" leaves a finite result
proportional to the bare propagators and allows the recovery of the zeta(3)
term coming from the matrix model for the 1/2 BPS circular Wilson loop in the
N=2 theory. The result is valid also for closed Wilson loops of general shape.
Comments are made concerning light-like polygons and supersymmetric loops in
the plane and on S^2.Comment: 16 pages. v2 minor changes, to appear in JHEP. v3 corrected
reference
Emerging Constitutional Norms: Continuous Judicial Amendment of the Constitution—The Proportionality Test as a Moving Target
The so-called proportionality test of modifications to the Canadian Constitution are discussed. The Constitution is, at times, described as a moving target for change
Product differentiation in a spatial Cournot model with asymmetric demand
This paper considers a spatial discrimination Cournot model with asymmetric demand. We use the geographical interpretation of the linear market and introduce differentiated products. We analyze a location-quantity game and show that agglomeration or dispersed locations may arise, depending on parameter combinations. The degree of differentiation plays an important role in location choice if the demand is asymmetric. The higher the degree of differentiation between the products the more likely is agglomeration. Only cases with a low degree of differentiation and a relatively low difference in market size leads to the absence of agglomeration in the larger market.Spatial Cournot competition, Agglomeration, Asymmetric demand structure, Product differentiation
Status of the Florida soft crab industry
Florida Sea Grant, having been involved in the developnent of the Florida soft crab fishery since 1978, decided that an evaluation of the status of this fishery was necessary to determine to what extent Sea Grant
Extension activities would be needed to further its development. To that end, this author, in cooperation with Florida Sea Grant marine extension agents and specialists, conducted a survey of the 1983 soft crab producers.
Out of 28 identified blue crab shedding operations known to be producing soft shell crabs in 1983, 22 (78.6%) cooperated in filling out a fishery questionnaire which included sections describing their shedding facility,
harvest methods, product types, production and sales data, and production costs. The reminder of this paper will be the findings of that survey. (12pp.
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