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  • The Definition of Neveu-Schwarz Superconformal Fields and Uncharged Superconformal Transformations
    Reviews in Mathematical Physics, 1999
    Co-Authors: Matthias Dörrzapf
    Abstract:

    The construction of Neveu–Schwarz superconformal field theories for any N is given via a superfield formalism. We also review some results and definitions of superconformal manifolds and generalise contour integration and Taylor expansion to superconformal spaces. For arbitrary N we define (uncharged) primary fields and give their Infinitesimal Change under superconformal transformations. This leads us to the operator product expansion of the stress-energy tensor with itself and with primary fields. In this way we derive the well-known commutation relations of the Neveu–Schwarz superconformal algebras KN. In this context we observe that the central extension term disappears for N≥4 for the Neveu–Schwarz theories. Finally, we give the global transformation rules of primary fields under theaction of the algebra generators.