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    LOCALIZATION OF QUANTUM FIELDS ON BRANES

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    A mechanism for localization of quantum fields on a s-brane, representing the boundary of a (s + 2)-dimensional bulk space, is investigated. Minkowski and AdS bulk spaces are analyzed. Besides the background geometry, the relevant parameters controlling the theory are the mass M and a real parameter eta, specifying the boundary condition on the brane. The importance of exploring the whole range of allowed values for these parameters is emphasized. Stability in Minkowski space requires eta greater than or equal to -M, whereas in the AdS background all real eta are permitted. Both in the flat and in AdS case, the induced field on the brane is a non-canonical generalized free field. For a suitable choice of boundary condition, corresponding to the presence of a boundary state, the induced field on the brane mimics standard (s + 1)-dimensional physics. In a certain range of eta, the spectral function in the the AdS case is dominated by a massive excitation, which imitates the presence of massive particle on the brane. We show that the quantum field induced on the brane is stabl

    Interplay Between Chiral Anomalies and Supersymmetry

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    We discuss the structure of the chiral anomaly in supersymmetric gauge theories in both the manifestly SUSY covariant approach and the Wess-Zumino gauge. In four dimensions we derive the SUSY anomaly in the W-Z gauge from the SUSY invariant expression of the chiral anomaly. We give a prescription for the computation of the SUSY anomaly in higher dimensions and present the resulting expression in six dimensions

    Link invariants from Chern-Simons theory

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    Some general features of the quantization of the Chern-Simons theory are described. We focus on the computation of the expectation values of Wilson line operators and on the braid group representation realized on the physical state space of the model

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Chern-Simons field theory and link invariants

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    The quantization of the non-abelian Chern-Simons theory in three dimensions is performed in the framework of the BRS formalism. The perturbative analysis at two loops confirms that the model is finite. The vacuum expectation values of the Wilson line operators arecomputedtosecondorderofperturbationtheory.ThemeaningoftheframingprocedureforknotsisanalyzedinthecontextoftheChernSimonsfieldtheory.Therelationbetween are computed to second order of perturbation theory. The meaning of the framing procedure for knots is analyzed in the context of the Chern-Simons field theory. The relation between and the link invariant polynomials is discussed. We derive an explicit analytic expression for the second coefficient of the Alexander-Conway polynomial, which is related to the Arf and Casson invariants
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