(Mis-)matching type-B anomalies on the Higgs branch

(Mis-)matching type-B anomalies on the Higgs branch

Blog Article

Abstract Building on [1], we uncover new properties of type-B conformal anomalies for Coulomb-branch operators in continuous families of 4D N $$ mathcal{N} $$ = 2 SCFTs.We study a large class of such anomalies on the Higgs branch, where conformal symmetry illumivein is spontaneously broken, and compare them with their counterpart in the CFT phase.In Lagrangian the- ories, the non-perturbative matching of the anomalies can be determined with a weak coupling Feynman diagram computation involving massive multi-loop banana integrals.

We extract the part corresponding to the anomalies of interest.Our calculations support the general conjecture that the Coulomb-branch type-B conformal anomalies always match on the Higgs branch when the IR Coulomb-branch chiral ring is empty.In the opposite case, there are anomalies that do not match.

An intriguing implication of the mismatch is the existence of a second covariantly constant wella color charm 050 cooling violet metric on the conformal manifold (other than the Zamolodchikov metric), which imposes previously unknown restrictions on its holonomy group.