Anomalies, renormalization group flows, and the \(a\)-theorem in six-dimensional \((1, 0)\) theories

DOI10.1007/JHEP10(2016)080zbMATH Open1390.81369arXiv1506.03807MaRDI QIDQ1636326

Author name not available (Why is that?)

Publication date: 12 June 2018

Published in: (Search for Journal in Brave)

Abstract: We establish a linear relation between the $a$-type Weyl anomaly and the 't Hooft anomaly coefficients for the $R$-symmetry and gravitational anomalies in six-dimensional $(1,0)$ superconformal field theories. For RG flows onto the tensor branch, where conformal symmetry is spontaneously broken, supersymmetry relates the anomaly mismatch $Deltaa$ to the square of a four-derivative interaction for the dilaton. This establishes the $a$-theorem for all such flows. The four-derivative dilaton interaction is in turn related to the Green-Schwarz-like terms that are needed to match the 't Hooft anomalies on the tensor branch, thus fixing their relation to $Deltaa$. We use our formula to obtain exact expressions for the $a$-anomaly of $N$ small $E_8$ instantons, as well as $N$ M5-branes probing an orbifold singularity, and verify the $a$-theorem for RG flows onto their Higgs branches. We also discuss aspects of supersymmetric RG flows that terminate in scale but not conformally invariant theories with massless gauge fields.

Full work available at URL: https://arxiv.org/abs/1506.03807

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Anomalies, renormalization group flows, and the \(a\)-theorem in six-dimensional \((1, 0)\) theories

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1636326)