Sublattice counting and orbifolds View Full Text


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Article Info

DATE

2010-06

AUTHORS

Amihay Hanany, Domenico Orlando, Susanne Reffert

ABSTRACT

Abelian orbifolds of are known to be encoded by hexagonal brane tilings. To date it is not known how to count all such orbifolds. We fill this gap by employing number theoretic techniques from crystallography, and by making use of Polya's Enumeration Theorem. The results turn out to be beautifully encoded in terms of partition functions and Dirichlet series. The same methods apply to counting orbifolds of any toric non-compact Calabi-Yau singularity. As additional examples, we count the orbifolds of the conifold, of the Laba theories, and of . More... »

PAGES

51

References to SciGraph publications

  • 2006-01-19. Brane dimers and quiver gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-10-31. Tilings, Chern-Simons theories and M2 branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-05-02. Toric AdS4/CFT3 duals and M-theory crystals in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/jhep06(2010)051

    DOI

    http://dx.doi.org/10.1007/jhep06(2010)051

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