Abstract
Abstract
Many physical theories, including notably string theory, require non-abelian higher gauge fields defining higher holonomy. Previous approaches to such higher connections on categorified principal bundles require these to be fake flat. This condition, however, renders them locally gauge equivalent to connections on abelian gerbes. For particular higher gauge groups, for example 2-group models of the string group, this limitation can be overcome by generalizing the notion of higher connection. Starting from this observation, we define a corresponding generalized higher holonomy functor which is free from the fake flatness condition, leading to a truly non-abelian parallel transport.
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Reference55 articles.
1. Differential geometry of gerbes;Breen;Adv. Math.,2005
2. Nonabelian bundle gerbes, their differential geometry and gauge theory;Aschieri;Commun. Math. Phys.,2005
3. Higher gauge theory: 2-connections on 2-bundles;Baez,2004
4. Higher gauge theory;Baez;Contemp. Math.,2007
5. Higher Yang–Mills theory;Baez,2002
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献