Topological Anti-Topological Fusion in Four-Dimensional Superconformal Field Theories

Understand

We present some new exact results for general four-dimensional superconformal field theories.

• We derive differential equations governing the coupling constant dependence of chiral primary correlators.
• For N=2 theories we show that the Zamolodchikov metric on the moduli space and the operator mixing of chiral primaries are quasi-topological quantities and constrained by holomorphy.
• The equations that we find are the four-dimensional analogue of the tt* equations in two-dimensions, discovered by the method of "topological anti-topological fusion" by Cecotti and Vafa.