Superconformal symmetry and correlation functions

Superconformal Symmetry and Correlation Functions

Four-dimensional N -extended superconformal symmetry and correlation functions of quasi-primary superfields are studied within the superspace formalism. A superconformal Killing equation is derived and its solutions are classified in terms of supertranslations, dilations, Lorentz transformations, R-symmetry transformations and special superconformal transformations. In general, due to the invar...

BMN Operators and Superconformal Symmetry

Implications of N = 4 superconformal symmetry on Berenstein-MaldacenaNastase (BMN) operators with two charge defects are studied both at finite charge J and in the BMN limit. We find that all of these belong to a single long supermultiplet explaining a recently discovered degeneracy of anomalous dimensions on the sphere and torus. The lowest dimensional component is an operator of naive dimensi...

Nonlinear superconformal symmetry

We discuss two different nonlinear generalizations of the osp(2|2) supersymmetry which arise in superconformal mechanics and fermion-monopole models. Submitted to the Proceedings of the International Workshop “Supersymmetries and Quantum Symmetries” (SQS’03, Dubna, Russia, 24-29 July 2003)

Some Correlation Functions of Minimal Superconformal Models Coupled to Supergravity

We compute general three-point functions of minimal superconformal models coupled to supergravity in the Neveu-Schwarz sector for spherical topology thus extending to the superconformal case the results of Goulian and Li and of Dotsenko. ⋆ Partially supported by the Swiss National Science Foundation.

Exacting N = 4 Superconformal Symmetry