Titlebook: Differential Geometrical Methods in Theoretical Physics; K. Bleuler,M. Werner Book 1988 Springer Science+Business Media Dordrecht 1988 The

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The Principle of Triality and A Distinguished Unitary Representation of SO(4,4)he double covering .(2,2) of its identity component .(4,2). appears as a subgroup of the symmetry group .(8, .). In fact, if one considers the real and imaginary part of the Hermitian form in .. with signature ++--H one sees immediately that

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Statistics and Monodromy in Two- and Three-Dimensional Quantum · Field Theory of Euclidean Green functions in conformal field theory. In Section 2, we describe three-dimensional gauge theories with particles of arbitrary real spin and intermediate statistics of interest in two-dimensional condensed matter physics.

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Algebraic Aspects of Non-Perturbative Quantum Field Theoriesange algebra” is directly related to the dimensional spectrum. Arguments are given that this new algebraic structure transcends conformal invariance and constitutes a genuine non-perturbative non-commutative algebraic aspect of quantized fields.

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A Multisymplectic Approach to the KdV Equationiption of dynamics on the appropriate space of Cauchy data. In addition to allowing one to treat the KdV equation covariantly, this formalism enables one to derive the Gardner symplectic structure for the KdV equation in a completely systematic way.

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Killing Spinors and Universality of the Hijazi Inequalityonformally covariant. For a compact spin manifold of dimension n ≥ 3, the operator (∆-ρ) on the spinors (ρ = (n/4(n-1)R) is positive; Hijazi inequality holds for any spinor Ψ such that (PΨ, PΨ) =λ(Ψ,Ψ) with λ = const. In the limiting case, the manifold admits a Killing spinor.

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Gauge Theory for Diffeomorphism Groupsgauge group and it’s action on the space of connections and the corresponding orbit space. We describe the classifying space and the rudiments of characteristic class theory and we give several selfduality conditions.

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Differential Geometrical Methods in Theoretical Physics978-94-015-7809-7Series ISSN 1389-2185

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