論文

査読有り
2016年7月

Triangle-hinge models for unoriented membranes

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
  • Masafumi Fukuma
  • ,
  • Sotaro Sugishita
  • ,
  • Naoya Umeda

2016
7
開始ページ
073B01
終了ページ
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1093/ptep/ptw069
出版者・発行元
OXFORD UNIV PRESS INC

Triangle-hinge models [M. Fukuma, S. Sugishita, and N. Umeda, J. High Energy Phys. 1507, 088 (2015)] are introduced to describe worldvolume dynamics of membranes. The Feynman diagrams consist of triangles glued together along hinges and can be restricted to tetrahedral decompositions in a large-N limit. In this paper, after clarifying that all the tetrahedra resulting in the original models are orientable, we define a version of triangle-hinge models that can describe the dynamics of unoriented membranes. By regarding each triangle as representing a propagation of an open membrane of disk topology, we introduce a local worldvolume parity transformation which inverts the orientation of a triangle, and define unoriented triangle-hinge models by gauging the transformation. Unlike two-dimensional cases, this local transformation generally relates a manifold to a nonmanifold, but still is a well-defined manipulation among tetrahedral decompositions. We further show that matter fields can be introduced in the same way as in the original oriented models. In particular, the models will describe unoriented membranes in a target spacetime by taking matter fields to be the target space coordinates.

Web of Science ® 被引用回数 : 3

リンク情報
DOI
https://doi.org/10.1093/ptep/ptw069
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000383287600014&DestApp=WOS_CPL
URL
http://orcid.org/0000-0001-8146-5034

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