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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 2186-2199 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The bosonization of b-c systems is studied with conformal weight λ on Riemann surfaces in which the moduli space is parametrized by the branch points (algebraic curves). Besides being interesting in itself, the problem is related to perturbative string theories and to nonfree conformal field theories on the complex plane with the insertion of certain spin fields called the twist fields. The method of λ-differentials is proposed, which allows a complete treatment of the b-c systems on algebraic curves with local Abelian monodromy group. It can be nevertheless applied also to more general algebraic curves allowing the computation of the Green's functions and shedding some light about the structure of the twist fields in the general case. The connections between our formalism and the solutions of the Riemann monodromy problem, used to find out the conformal blocks of conformal field theories, are pointed out.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Biotechnology progress 6 (1990), S. 198-202 
    ISSN: 1520-6033
    Source: ACS Legacy Archives
    Topics: Process Engineering, Biotechnology, Nutrition Technology
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 39 (1998), S. 5148-5165 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: An operator formalism for bosonic β–γ system on arbitrary algebraic curves is introduced. The classical degrees of freedom are identified and their commutation relations are postulated. The explicit realization of the algebra formed by the fields is given in the Hilbert space equipped with a bilinear form. The construction is based on the "Gaussian" representation for β–γ system on the complex sphere [Alvarez-Gaumé et al., Nucl. Phys. B 311, 333 (1988)]. Detailed computations are provided for two- and four-point correlation functions. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 6444-6462 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In this paper we investigate the theory of massless scalar fields on nondegenerate algebraic curves. The propagator is written in terms of the parameters appearing in the polynomial defining the curve. This provides an alternative to the language of theta functions. The main result is the derivation of a third kind differential normalized in such a way that its periods around the homology cycles are purely imaginary. All the physical correlation functions of the scalar fields can be expressed in terms of this object. This paper contains a detailed analysis of the techniques necessary to study field theories on algebraic curves. A simple expression of the scalar field propagator is found in a particular case, in which the algebraic curves have Zn internal symmetry and one of the fields is located at a branch point. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of natural products 54 (1991), S. 597-598 
    ISSN: 1520-6025
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 6
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    Unknown
    Wiesbaden, etc. : Periodicals Archive Online (PAO)
    Hermes. 106 (1978) 248 
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Letters in mathematical physics 41 (1997), S. 371-378 
    ISSN: 1573-0530
    Keywords: Two-dimensional field theories ; Maxwell–Dirac equations.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In this Letter, the Maxwell field theory is considered on a closed and orientable Riemann surface of genus h $$$$ 1. The solutions of the Maxwell equations corresponding to nontrivial values of the first Chern class are explicitly constructed for any metric in terms of the prime form.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 156 (1993), S. 179-200 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In this paper a class of conformal field theories with nonabelian and discrete group of symmetry is investigated. These theories are realized in terms of free scalar fields starting from the simpleb-c systems and scalar fields on algebraic curves. The Knizhnik-Zamolodchikov equations for the conformal blocks can be explicitly solved. Besides the fact that one obtains in this way an entire class of theories in which the operators obey nonstandard statistics, these systems are interesting in exploring the connection between statistics and curved space-times, at least in the two dimensional case.
    Type of Medium: Electronic Resource
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