Brane Tilings and M2 Branes
Amihay Hanany, David Vegh, Alberto Zaffaroni

TL;DR
This paper explores the use of brane tilings to efficiently describe N=2 Chern-Simons-matter theories related to M2-branes on toric Calabi-Yau fourfolds, introducing a modified Kasteleyn technique and analyzing spectra via Hilbert Series.
Contribution
It introduces a simple modification of the Kasteleyn technique to compute three-dimensional toric diagrams for M2-brane moduli spaces.
Findings
Modified Kasteleyn technique successfully computes toric diagrams.
Hilbert Series analysis reveals spectrum of scaling dimensions.
Method applies to non-compact moduli spaces of M2-branes.
Abstract
Brane tilings are efficient mnemonics for Lagrangians of N=2 Chern-Simons-matter theories. Such theories are conjectured to arise on M2-branes probing singular toric Calabi-Yau fourfolds. In this paper, a simple modification of the Kasteleyn technique is described which is conjectured to compute the three dimensional toric diagram of the non-compact moduli space of a single probe. The Hilbert Series is used to compute the spectrum of non-trivial scaling dimensions for a selected set of examples.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
