Brane Tilings and M2 Branes

Details Brane Tilings and M2 Branes Brane Tilings and M2 Branes

2008-09-09

arxiv.org/abs/0809.1440v1

JHEP 0903:012,2009

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, 23 figures

Scientific paper

10.1088/1126-6708/2009/03/012

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.

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