Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-12-10
Rev.Math.Phys. 11 (1999) 137-169
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 29 pages, no figures, several minor changes and references added
Scientific paper
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 we 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 K_N. 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 the action of the algebra generators.
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