
arXiv: hep-th/0309243
Primary superfields for a two-dimensional Euclidean superconformal field theory are constructed as sections of a sheaf over a graded Riemann sphere. The transformation law is found to be the same as that of an O(N) extended primary field. The construction is then applied to the N=3 Neveu–Schwarz case. Various quantities in the N=3 theory are calculated, such as elements of the super-Möbius group, and the two-point function. Applications of the construction to calculate three-point functions and fusion rules in a manifestly supersymmetric fashion are discussed.
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Supersymmetric field theories in quantum mechanics, FOS: Physical sciences, Mathematical Physics (math-ph), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mathematical Physics
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Supersymmetric field theories in quantum mechanics, FOS: Physical sciences, Mathematical Physics (math-ph), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mathematical Physics
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