(Mis-)Matching Type-B Anomalies on the Higgs Branch
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2020
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| _version_ | 1866912179890946048 |
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| author | Niarchos, Vasilis Papageorgakis, Constantinos Pini, Alessandro Pomoni, Elli |
| author_facet | Niarchos, Vasilis Papageorgakis, Constantinos Pini, Alessandro Pomoni, Elli |
| contents | Building on arXiv:1911.05827, we uncover new properties of type-B conformal anomalies for Coulomb-branch operators in continuous families of 4D $\mathcal{N}=2$ 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 theories, 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. On the other hand, we argue that the potential mismatch of anomalies implies the existence of a second covariantly constant metric on the conformal manifold (other than the Zamolodchikov metric), which would impose restrictions on its holonomy group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_08375 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | (Mis-)Matching Type-B Anomalies on the Higgs Branch Niarchos, Vasilis Papageorgakis, Constantinos Pini, Alessandro Pomoni, Elli High Energy Physics - Theory Building on arXiv:1911.05827, we uncover new properties of type-B conformal anomalies for Coulomb-branch operators in continuous families of 4D $\mathcal{N}=2$ 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 theories, 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. On the other hand, we argue that the potential mismatch of anomalies implies the existence of a second covariantly constant metric on the conformal manifold (other than the Zamolodchikov metric), which would impose restrictions on its holonomy group. |
| title | (Mis-)Matching Type-B Anomalies on the Higgs Branch |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2009.08375 |