## 49 Citations

### An invitation to higher gauge theory

- Mathematics
- 2011

In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge…

### HIGHER GAUGE THEORY AND GRAVITY IN 2+1 DIMENSIONS

- Physics
- 2007

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…

### Higher gauge theory — differential versus integral formulation

- Mathematics
- 2004

The term higher gauge theory refers to the generalization of gauge theory to a theory of connections at two levels, essentially given by 1- and 2-forms. So far, there have been two approaches to this…

### Lattice p-Form Electromagnetism and Chain Field Theory

- Mathematics
- 2005

Since Wilson's work on lattice gauge theory in the 1970s, discrete versions of field theories have played a vital role in fundamental physics. But there is recent interest in certain higher…

### Study of a lattice 2-group gauge model

- MathematicsProceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
- 2022

Gauge theories admit a generalisation in which the gauge group is replaced by a finer algebraic structure, known as a 2-group. The first model of this type is a Topological Quantum Field Theory…

### Two-dimensional algebra in lattice gauge theory

- MathematicsJournal of Mathematical Physics
- 2019

We provide a visual and intuitive introduction to effectively calculating in 2-groups along with explicit examples coming from non-abelian 1- and 2-form gauge theory. In particular, we utilize string…

### Higher lattices, discrete two-dimensional holonomy and topological phases in (3 + 1)D with higher gauge symmetry

- MathematicsReviews in Mathematical Physics
- 2019

Higher gauge theory is a higher order version of gauge theory that makes possible the definition of 2-dimensional holonomy along surfaces embedded in a manifold where a gauge 2-connection is present.…

### Dynamics of a lattice 2-group gauge theory model

- Mathematics, PhysicsJournal of High Energy Physics
- 2021

Abstract
We study a simple lattice model with local symmetry, whose construction is based on a crossed module of finite groups. Its dynamical degrees of freedom are associated both to links and…

### TOWARD SEMISTRICT HIGHER GAUGE THEORY

- Mathematics
- 2011

We work out a formulation of higher gauge theory, whose symmetry is encoded in a semistrict Lie 2–algebra v and which we call semistrict. We view v as a 2– term L∞ algebra, a special case of strong…

### On 2-form gauge models of topological phases

- MathematicsJournal of High Energy Physics
- 2019

A bstractWe explore 2-form topological gauge theories in (3+1)d. These theories can be constructed as sigma models with target space the second classifying space B2G of the symmetry group G, and they…

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- Physics
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A generalization of gauge theory in which the gauge potential1-form is replaced by a p-form is studied. Charged particles are then replaced by elementary extended objects of dimension p−1. It is…

### Higher Yang-Mills Theory

- Mathematics
- 2002

Electromagnetism can be generalized to Yang-Mills theory by replacing the group U(1)$ by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2-form…

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- Mathematics, Physics
- 2001

### Duals for Non-Abelian Lattice Gauge Theories by Categorical Methods

- Physics
- 2001

We introduce duals for non-Abelian lattice gauge theories in dimension at least three by using a categorical approach to the notion of duality in lattice theories. We first discuss the general…

### Exact duality transformations for sigma models and gauge theories

- Mathematics, Physics
- 2003

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- Physics
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- Mathematics
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Lattice Gauge Theory in four-dimensional Euclidean space–time is generalized to ribbon categories which replace the category of representations of the gauge group. This provides a framework in which…