6D RG Flows and Nilpotent Hierarchies

Understand

With the eventual aim of classifying renormalization group flows between 6D superconformal field theories (SCFTs), we study flows generated by the vevs of "conformal matter," a generalization of conventional hypermultiplets which naturally appear in the F-theory classification of 6D SCFTs.

• We consider flows in which the parent UV theory is (on its partial tensor branch) a linear chain of gauge groups connected by conformal matter, with one flavor group G at each end of the chain, and in which the symmetry breaking of the conformal matter at each end is parameterized by the orbit of a nilpotent element, i.e.
• T-brane data, of one of these flavor symmetries.
• Such nilpotent orbits admit a partial ordering, which is reflected in a hierarchy of IR fixed points.