Anomalies of duality groups and extended conformal manifolds

DOI10.1093/PTEP/PTY069zbMATH Open1477.81093arXiv1803.07366OpenAlexW2792784137WikidataQ129771535 ScholiaQ129771535MaRDI QIDQ5156715

Author name not available (Why is that?)

Publication date: 11 October 2021

Published in: (Search for Journal in Brave)

Abstract: A self-duality group $calG$ in quantum field theory can have anomalies. In that case, the space of ordinary coupling constants $calM$ can be extended to include the space $calF$ of coefficients of counterterms in background fields. The extended space $calN$ forms a bundle over $calM$ with fiber $calF$, and the topology of the bundle is determined by the anomaly. For example, the $calG=SL(2,mathbbZ)$ duality of the 4d Maxwell theory has an anomaly, and the space $calF=S^1$ for the gravitational theta-angle is nontrivially fibered over $calM=mathbbH/SL(2,mathbbZ)$. We will explain a simple method to determine the anomaly when the 4d theory is obtained by compactifying a 6d theory on a Riemann surface in terms of the anomaly polynomial of the parent 6d theory. Our observations resolve an apparent contradiction associated with the global structure of the Kahler potential on the space of exactly marginal couplings of supersymmetric theories.

Full work available at URL: https://arxiv.org/abs/1803.07366

Mathematics Subject Classification ID

No records found.

This page was built for publication: Anomalies of duality groups and extended conformal manifolds

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5156715)