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  • 1
    Electronic Resource
    Electronic Resource
    Krichever-Novikov formulation of topological conformal field theory (1991)
    Springer
    Letters in mathematical physics 23 (1991), S. 271-277 
    Details
    ISSN: 1573-0530
    Keywords: 81T40 ; 81T60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The Krichever-Novikov (KN) global operator formalism is applied to construct a topological conformal field theory on a compact Riemann surface from an N=2 super-conformal field theory. The topological version of the KN algebra is derived and the BRST charge is shown to be genus-dependent in this formulation. This leads to an interesting cohomology structure for the physical subspace of the Hilbert space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00398824
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Krichever-Novikov global operator formalism: NSR superstring in curved background (1991)
    Springer
    Communications in mathematical physics 139 (1991), S. 527-549 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The Neveu-Schwarz-Ramond type II closed superstring is considered to evolve in a curved space-time manifold. The Krichever-Novikov global operator formalism is used to construct the generators of a super-conformal algebra on a Riemann surface Σ. The computation for the quantum algebra of these generators is explicitly presented. It is shown that the theory is free from super-conformal anomalies if the target manifold is ten dimensional and satisfies the Ricci flatness condition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02101878
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Algebraic structure of topological superconformal field theory on Riemann surfaces (1992)
    Springer
    Communications in mathematical physics 148 (1992), S. 117-137 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The algebraic structure of a topological superconformal field theory on a compact Riemann surface is investigated. The Krichever-Novikov [K-N] global operator formalism is used to obtain anN=4 super K-N algebra on a Riemann surface. Subsequently thisN=4 algebra is shown to posses anN=3 K-N subalgebra. TheN=3 subalgebra is then twisted to derive a topological version of the Krichever-Novikov algebra with a residualN=2 superconformal structure. The BRST charge of the associated topological field theory on the Riemann surface is shown to be genus dependent in this formalism and the global generalization of the BRST derivative conditions are obtained. The complete BRST structure of the theory is explicitly elucidated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02102367
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    Paper (German National Licenses)
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