Tilings, Chern-Simons Theories and M2 Branes

By A. Hanany, Alberto Zaffaroni. 2008

169 citations recorded by the source corpus.

A new infinite class of Chern-Simons theories in 2+1 dimensions is presented using brane tilings. The new class reproduces all known cases so far and introduces many new models that are dual to M2 brane theories which probe a toric non-compact singular CY 4-fold. The master space of the quiver theory is used as a tool to construct the moduli space for this class and the Hilbert Series is computed for a selected set of examples.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/50f60533e5578f37e0a0c7bdef471e71a792220d

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Citations in the corpus

The gauge dual of Romans mass (2009, unknown): “It contains the symplectic matrix ω, defined as being ( ǫ 0 0 ǫ ) , with ǫ the antisymmetric 2×2 matrix.”
Supersymmetry on curved spaces and holography (2012, background): “Such a set-up has two dual descriptions [129–132].”
Towards the F-theorem: $ \mathcal{N} = 2 $ field theories on the three-sphere (2011, background): “The earlier and perhaps better known conjectures for the gauge theories dual to AdS4× M, AdS4 × Q and AdS4 × Q [53–58] have instead involved chiral bifundamental fields.”
The large N limit of quiver matrix models and Sasaki-Einstein manifolds (2011, background): “In [22, 23] the moduli spaces of vacua of such theories were studied.”
Moduli spaces of Chern-Simons quiver gauge theories and AdS(4)/CFT(3) (2008, methodology): “We thank Marcus Benna, Oren Bergman, Amihay Hanany, Daniel Jafferis, Juan Maldacena, Yuji Tachikawa and Alessandro Tomasiello for discussions.”
Landscape of superconducting membranes (2009, background): “Combining the extensive intuition gained from toric N = 1 superconformal field theories in 3+1 dimensions and the ABJM construction, it has been proposed that the worldvolume theory of M2 branes probing toric Calabi-Yau cones is given by a quiver Chern-Simons theory [65, 66, 67, 68, 69, 70].”
Comments on 3d Seiberg-like dualities (2011, background): “Generally such a quiver has gauge group U(n1) × · · · × U(nG) with some CS interactions, and fields Xij in bifundamental representations coupled together by a superpotential [36, 37, 38, 39, 40, 41, 42].”
Chiral flavors and M2-branes at toric CY4 singularities (2009, methodology): “The relation between the CY4 geometric moduli space of a 3d quiver CS theory and the CY3 = CY4//U(1)M mesonic moduli space of a 4d gauge theory with the same quiver and superpotential was first pointed out in [6, 7, 8].”