論文

査読有り
2015年6月

Quiver Mutation Loops and Partition q-Series

COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Akishi Kato
  • ,
  • Yuji Terashima

336
2
開始ページ
811
終了ページ
830
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/s00220-014-2224-5
出版者・発行元
SPRINGER

A quiver mutation loop is a sequence of mutations and vertex relabelings, along which a quiver transforms back to the original form. For a given mutation loop , we introduce a quantity called a partition q-series which takes values in where is some positive integer. The partition q-series are invariant under pentagon moves. If the quivers are of Dynkin type or square products thereof, they reproduce so-called fermionic or quasi-particle character formulas of certain modules associated with affine Lie algebras. They enjoy nice modular properties as expected from the conformal field theory point of view.

Web of Science ® 被引用回数 : 4

リンク情報
DOI
https://doi.org/10.1007/s00220-014-2224-5
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000351405100008&DestApp=WOS_CPL

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