MISC

査読有り
2013年1月

3d analogs of Argyres-Douglas theories and knot homologies

JOURNAL OF HIGH ENERGY PHYSICS
  • Hiroyuki Fuji
  • ,
  • Sergei Gukov
  • ,
  • Marko Stosic
  • ,
  • Piotr Sulkowski

1301
1
開始ページ
175-213
終了ページ
記述言語
英語
掲載種別
DOI
10.1007/JHEP01(2013)175
出版者・発行元
SPRINGER

We study singularities of algebraic curves associated with 3d N = 2 theories that have at least one global flavor symmetry. Of particular interest is a class of theories T-K labeled by knots, whose partition functions package Poincare polynomials of the S-r-colored HOMFLY homologies. We derive the defining equation, called the super-A-polynomial, for algebraic curves associated with many new examples of 3d N = 2 theories T-K and study its singularity structure. In particular, we catalog general types of singularities that presumably exist for all knots and propose their physical interpretation. A computation of super-A-polynomials is based on a derivation of corresponding superpolynomials, winch is interesting in its own right and relies solely on a structure of differentials in S-r-colored HOMFLY homologies.

Web of Science ® 被引用回数 : 29

リンク情報
DOI
https://doi.org/10.1007/JHEP01(2013)175
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000315583600094&DestApp=WOS_CPL

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