2008

Brane Tilings and M2 Branes

Hanany, Amihay, Vegh, David, Zaffaroni, Alberto

Understand

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.

Built on

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Similar

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Then

A. Butti, D. Forcella, A. Hanany, D. Vegh and A. Zaffaroni, Counting Chiral Operators in Quiver Gauge Theories
Original
2007
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K. D. Kennaway, Brane Tilings
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D. Forcella, A. Hanany and A. Zaffaroni, Baryonic generating functions
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A. Butti, D. Forcella and A. Zaffaroni, Counting BPS baryonic operators in CFTs with Sasaki- Einstein duals
Original
2007
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J. Bagger and N. Lambert, Comments On Multiple M2-branes
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2008
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J. Bagger and N. Lambert, Gauge Symmetry and Supersymmetry of Multiple M2-Branes
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J. Distler, S. Mukhi, C. Papageorgakis and M. Van Raamsdonk, M2-branes on M-folds
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M. Van Raamsdonk, Comments on the Bagger-Lambert theory and multiple M2-branes
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N. Lambert and D. Tong, Membranes on an Orbifold
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K. Hosomichi, K.-M. Lee, S. Lee, S. Lee and J. Park, 𝒩 \mathcal{N} =4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
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2008
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S. Kim, S. Lee, S. Lee and J. Park, Abelian Gauge Theory on M2-brane and Toric Duality
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D. Forcella, A. Hanany, Y.-H. He and A. Zaffaroni, The Master Space of 𝒩 \mathcal{N} =1 Gauge Theories
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2008
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D. Martelli, J. Sparks and S.-T. Yau, Sasaki-Einstein manifolds and volume minimisation
2008
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