scholarly journals Topological nonlinear σ -model, higher gauge theory, and a systematic construction of 3+1D topological orders for boson systems

2019 ◽  
Vol 100 (4) ◽  
Author(s):  
Chenchang Zhu ◽  
Tian Lan ◽  
Xiao-Gang Wen
Keyword(s):  
Gauge Theory ◽  
Boson Systems ◽  
Systematic Construction ◽  
Higher Gauge Theory

scholarly journals Six-dimensional (1,0) superconformal models and higher gauge theory

2013 ◽  
Vol 54 (11) ◽  
pp. 113509 ◽  
Author(s):  
Sam Palmer ◽  
Christian Sämann
Keyword(s):  
Gauge Theory ◽  
Higher Gauge Theory

scholarly journals HIGHER GAUGE THEORY AND GRAVITY IN 2+1 DIMENSIONS

2007 ◽  
Vol 22 (28) ◽  
pp. 5155-5172 ◽  
Author(s):  
R. B. MANN ◽  
E. M. POPESCU
Keyword(s):  
Gauge Theory ◽  
Two Dimensional ◽  
Yang Mills ◽  
Higher Dimensional ◽  
Present Context ◽  
Dimensional Gravity ◽  
Wide Perspective ◽  
Higher Gauge Theory ◽  
Matter Fields ◽  
New Framework

Non-Abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher-dimensional (two-dimensional in the present context) connection forms, and as such, it has been successfully applied to the non-Abelian generalizations of the Yang–Mills theory and 2-form electrodynamics. (2+1)-dimensional gravity, on the other hand, has been a fertile testing ground for many concepts related to classical and quantum gravity, and it is therefore only natural to investigate whether we can find an application of higher gauge theory in this latter context. In the present paper we investigate the possibility of applying the formalism of higher gauge theory to gravity in 2+1 dimensions, and we show that a nontrivial model of (2+1)-dimensional gravity coupled to scalar and tensorial matter fields — the ΣΦEA model — can be formulated as a higher gauge theory (as well as a standard gauge theory). Since the model has a very rich structure — it admits as solutions black-hole BTZ-like geometries, particle-like geometries as well as Robertson–Friedman–Walker cosmological-like expanding geometries — this opens a wide perspective for higher gauge theory to be tested and understood in a relevant gravitational context. Additionally, it offers the possibility of studying gravity in 2+1 dimensions coupled to matter in an entirely new framework.

scholarly journals The ABJM model is a higher gauge theory

2014 ◽  
Vol 11 (08) ◽  
pp. 1450075 ◽  
Author(s):  
Sam Palmer ◽  
Christian Sämann
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Higher Gauge Theory ◽  
Brane Models

M2-branes couple to a 3-form potential, which suggests that their description involves a non-abelian 2-gerbe or, equivalently, a principal 3-bundle. We show that current M2-brane models fit this expectation: they can be reformulated as higher gauge theories on such categorified bundles. We thus add to the still very sparse list of physically interesting higher gauge theories.

scholarly journals Higher gauge theory—differential versus integral formulation

2004 ◽  
Vol 45 (10) ◽  
pp. 3949-3971 ◽  
Author(s):  
Florian Girelli ◽  
Hendryk Pfeiffer
Keyword(s):  
Gauge Theory ◽  
Integral Formulation ◽  
Higher Gauge Theory

scholarly journals Semistrict higher gauge theory

2015 ◽  
Vol 2015 (4) ◽  
Author(s):  
Branislav Jurčo ◽  
Christian Sämann ◽  
Martin Wolf
Keyword(s):  
Gauge Theory ◽  
Higher Gauge Theory
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