Chiral anomaly via vertex algebroids
Let \(q : X \rightarrow S\) be a principal \(\mathrm{U}(1)\)-bundle over some manifold \(S\), and let \(\mathcal{E}\) be a complex vector bundle on \(X\). There is an associated Grothendieck-Riemann-Roch formula due to \textit{P. Bressler} et al. [Prog. Math. 269, 125--164 (2009; Zbl 1230.14010)] which is NEWLINE\[NEWLINE \mathrm{c}_1(q_* \mathcal{E})=\int_{X/S} \mathrm{ch}_2(\mathcal{E}). NEWLINE\]NEWLINE In the present paper, the authors refine this equality at the level of stacks.
scientific article; zbMATH DE number 6353651