On the classification of brane tilings View Full Text


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Article Info

DATE

2010-01

AUTHORS

John Davey, Amihay Hanany, Jurgis Pasukonis

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. More... »

PAGES

78

References to SciGraph publications

  • 2008-12-11. Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-01-19. Brane dimers and quiver gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-03-03. Brane tilings and M2 branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2005-08-17. A new infinite class of quiver gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-10-05. Quivers, tilings, branes and rhombi in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-12-18. D-branes on vanishing del Pezzo surfaces in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-10-03. Properly ordered dimers, R-charges, and an efficient inverse algorithm in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-02-27. Quiver theories, soliton spectra and Picard-Lefschetz transformations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-12-30. Towards M2-brane theories for generic toric singularities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-09-02. Seiberg duality is an exceptional mutation in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-10-31. Tilings, Chern-Simons theories and M2 branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2002-12-27. Symmetries of Toric Duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-06-08. Phases of M2-brane theories in JOURNAL OF HIGH ENERGY PHYSICS
  • Journal

    TITLE

    Journal of High Energy Physics

    ISSUE

    1

    VOLUME

    2010

    Author Affiliations

    From Grant

  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep01(2010)078

    DOI

    http://dx.doi.org/10.1007/jhep01(2010)078

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1016619270


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