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On the classification of brane tilings

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Abstract

We present a computationally efficient algorithm that can be used to generate all possible brane tilings. Brane tilings represent the largest class of superconformal theories with known AdS duals in 3+1 and also 2+1 dimensions and have proved useful for describing the physics of both D3 branes and also M2 branes probing Calabi-Yau singularities. This algorithm has been implemented and is used to generate all possible brane tilings with at most 6 superpotential terms, including consistent and inconsistent brane tilings. The collection of inconsistent tilings found in this work forms the most comprehensive study of such objects to date.

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Authors and Affiliations

  1. Theoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London, SW7 2AZ, U.K.

    John Davey, Amihay Hanany & Jurgis Pasukonis

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  1. John Davey
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  2. Amihay Hanany
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  3. Jurgis Pasukonis
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Correspondence to John Davey.

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ArXiv ePrint: 0909.2868

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Davey, J., Hanany, A. & Pasukonis, J. On the classification of brane tilings. J. High Energ. Phys. 2010, 78 (2010). https://doi.org/10.1007/JHEP01(2010)078

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  • DOI: https://doi.org/10.1007/JHEP01(2010)078

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