Symmetries of abelian orbifolds View Full Text


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Article Info

DATE

2011-01

AUTHORS

Amihay Hanany, Rak-Kyeong Seong

ABSTRACT

Using the Polya Enumeration Theorem, we count with particular attention to up to , abelian orbifolds in various dimensions which are invariant under cycles of the permutation group SD. This produces a collection of multiplicative sequences, one for each cycle in the Cycle Index of the permutation group. A multiplicative sequence is controlled by its values on prime numbers and their pure powers. Therefore, we pay particular attention to orbifolds of the form where the order of Γ is pα. We propose a generalization of these sequences for any D and any p. More... »

PAGES

27

References to SciGraph publications

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  • 2010-06. Sublattice counting and orbifolds in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2008-10-23. 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals in JOURNAL OF HIGH ENERGY PHYSICS
  • 2001-12-03. Toric duality is Seiberg duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-01-19. Brane dimers and quiver gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2007-10-05. Quivers, tilings, branes and rhombi in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-11-06. Higgsing M2-brane theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-02-27. Quiver theories, soliton spectra and Picard-Lefschetz transformations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-06. Counting orbifolds in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-10-31. Tilings, Chern-Simons theories and M2 branes in JOURNAL OF HIGH ENERGY PHYSICS
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  • 2009-06-08. Phases of M2-brane theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-01-23. Gauge theories from toric geometry and brane tilings in JOURNAL OF HIGH ENERGY PHYSICS
  • Journal

    TITLE

    Journal of High Energy Physics

    ISSUE

    1

    VOLUME

    2011

    Author Affiliations

    From Grant

  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep01(2011)027

    DOI

    http://dx.doi.org/10.1007/jhep01(2011)027

    DIMENSIONS

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