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(Mis-)matching type-B anomalies on the Higgs branch
Journal of High Energy Physics ( IF 5.0 ) Pub Date : 2021-01-01 , DOI: 10.1007/jhep01(2021)106 V. Niarchos , C. Papageorgakis , A. Pini , E. Pomoni
Journal of High Energy Physics ( IF 5.0 ) Pub Date : 2021-01-01 , DOI: 10.1007/jhep01(2021)106 V. Niarchos , C. Papageorgakis , A. Pini , E. Pomoni
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 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 metric on the conformal manifold (other than the Zamolodchikov metric), which imposes previously unknown restrictions on its holonomy group.
更新日期：2021-01-01
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