High Energy Physics - Theory
[Submitted on 1 Nov 2021 (v1), last revised 11 Sep 2022 (this version, v3)]
Title:On the M2-Brane Index on Noncommutative Crepant Resolutions
View PDFAbstract:On certain M-theory backgrounds which are a circle fibration over a smooth Calabi-Yau, the quantum theory of M2 branes can be studied in terms of the K-theoretic Donaldson-Thomas theory on the threefold. We extend this relation to noncommutative crepant resolutions. In this case the threefold develops a singularity and classical smooth geometry is replaced by the algebra of paths of a certain quiver. K-theoretic quantities on the quiver representation moduli space can be computed via toric localization and result in certain rational functions of the toric parameters. We discuss in particular the case of the conifold and certain orbifold singularities.
Submission history
From: Michele Cirafici [view email][v1] Mon, 1 Nov 2021 17:16:09 UTC (185 KB)
[v2] Wed, 8 Dec 2021 17:29:40 UTC (185 KB)
[v3] Sun, 11 Sep 2022 16:15:41 UTC (225 KB)
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