Studying superconformal symmetry enhancement through indices

Vanishing superconformal indices and the chiral symmetry breaking

Superconformal indices of 4d N = 1 SYM theories with SU(N) and SP (2N) gauge groups are investigated for Nf = N and Nf = N + 1 flavors, respectively. These indices vanish for generic values of the flavor fugacities. However, for a singular submanifold of fugacities they behave like the Dirac delta functions and describe the chiral symmetry breaking phenomenon. Similar picture holds for partitio...

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)

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...

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...

Exacting N = 4 Superconformal Symmetry