Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-23
J.Math.Phys. 47 (2006) 042301
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, LaTeX. v2: clarifications and minor corrections
Scientific paper
10.1063/1.2184810
We investigate the concept of superconformal symmetry in six dimensions, applied to the interacting theory of (2,0) tensor multiplets and self-dual strings. The action of a superconformal transformation on the superspace coordinates is found, both from a six-dimensional perspective and by using a superspace with eight bosonic and four fermionic dimensions. The transformation laws for all fields in the theory are derived, as well as general expressions for the transformation of on-shell superfields. Superconformal invariance is shown for the interaction of a self-dual string with a background consisting of on-shell tensor multiplet fields, and we also find an interesting relationship between the requirements of superconformal invariance and those of a local fermionic kappa-symmetry. Finally, we try to construct a superspace analogue of the Poincare dual to the string world-sheet and consider its properties under superconformal transformations.
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