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Published March 30, 2006 | Published
Journal Article Open

Anomalies and graded coisotropic branes

Li, Yi

Abstract

We compute the anomaly of the axial U(1) current in the A-model on a Calabi-Yau manifold, in the presence of coisotropic branes discovered by Kapustin and Orlov. Our results relate the anomaly-free condition to a recently proposed definition of graded coisotropic branes in Calabi-Yau manifolds. More specifically, we find that a coisotropic brane is anomaly-free if and only if it is gradable. We also comment on a different grading for coisotropic submanifolds introduced recently by Oh.

Additional Information

© SISSA 2006. Received 26 September 2005, accepted for publication 6 March 2006. Published 30 March 2006. I am grateful to Anton Kapustin for illuminating discussions and for carefully reading the manuscript and making numerous suggestions. I am also indebt to Ke Zhu for helpful discussions and for reading a preliminary version of the manuscript. This research is supported in part by DOE grant DE-FG03-92-ER40701.

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August 22, 2023
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