159 research outputs found
Computational Tools for Cohomology of Toric Varieties
In this review, novel non-standard techniques for the computation of
cohomology classes on toric varieties are summarized. After an introduction of
the basic definitions and properties of toric geometry, we discuss a specific
computational algorithm for the determination of the dimension of line-bundle
valued cohomology groups on toric varieties. Applications to the computation of
chiral massless matter spectra in string compactifications are discussed and,
using the software package cohomCalg, its utility is highlighted on a new
target space dual pair of (0,2) heterotic string models.Comment: 17 pages, 4 tables; prepared for the special issue "Computational
Algebraic Geometry in String and Gauge Theory" of Advances in High Energy
Physics, cohomCalg implementation available at
http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg
Cohomology of Line Bundles: A Computational Algorithm
We present an algorithm for computing line bundle valued cohomology classes
over toric varieties. This is the basic starting point for computing massless
modes in both heterotic and Type IIB/F-theory compactifications, where the
manifolds of interest are complete intersections of hypersurfaces in toric
varieties supporting additional vector bundles.Comment: 11 pages, 1 figure, 2 tables; v2: typos and references corrected; v3:
proof-related statements updated, cohomCalg implementation available at
http://wwwth.mppmu.mpg.de/members/blumenha/cohomcalg
Global existence and future asymptotic behaviour for solutions of the Einstein-Vlasov-scalar field system with surface symmetry
We prove in the cases of plane and hyperbolic symmetries a global in time
existence result in the future for comological solutions of the
Einstein-Vlasov-scalar field system, with the sources generated by a
distribution function and a scalar field, subject to the Vlasov and wave
equations respectively. The spacetime is future geodesically complete in the
special case of plane symmetry with only a scalar field. Causal geodesics are
also shown to be future complete for homogeneous solutions of the
Einstein-Vlasov-scalar field system with plane and hyperbolic symmetry.Comment: 14 page
Trends in regional outpatient antibiotic prescription data and interventions in the Dutch-German EURSAFETY HEALTH-NET-project
On free nets over Minkowski space
27 pages, no figures.-- MSC2000 codes: 46L60, 81T05.MR#: MR1369988 (96m:81132)Zbl#: Zbl 0883.46040Using standard results on CAR- and CCR-theory and on representation theory of the Poincaré group a direct way to construct nets of local C*-algebras satisfying Haag-Kastler's axioms is given. No explicite use of any field operator or of any concrete representation of the algebra is made. The nets are associated to models of mass m ≥ 0 and arbitrary spin or helicity. Finally, Fock states satisfying the spectrality condition are specified.First author (H.B.) was partly supported by DFG; SFB 288: “Differentialgeometrie und Quantenphysik”. Second author (M.J.) was supported by DFG; SFB 288: “Differentialgeometrie und Quantenphysik”. Third author (F. Ll.) was supported by a grant of the Spanish Ministry of Education/CICYT.Publicad
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