# Gerbes and duality

@article{Caicedo2002GerbesAD, title={Gerbes and duality}, author={Mario I. Caicedo and Ignacio Mart{\'i}n and Alvaro Restuccia}, journal={Annals of Physics}, year={2002}, volume={300}, pages={32-53} }

Abstract We describe a global approach to the study of duality transformations between antisymmetric fields with transitions and argue that the natural geometrical setting for the approach is that of gerbes; these objects are mathematical constructions generalizing U(1) bundles and are similarly classified by quantized charges. We address the duality maps in terms of the potentials rather than on their field strengths and show the quantum equivalence between dual theories which in turn allows a…

## 19 Citations

### BRST and Superfield Formalism—A Review

- MathematicsUniverse
- 2021

This article, which is a review with substantial original material, is meant to offer a comprehensive description of the superfield representations of BRST and anti-BRST algebras and their…

### Higher Gauge Theory II : 2-Connections

- Mathematics

Connections and curvings on gerbes are beginning to play a vital role in differential geometry and theoretical physics — first abelian gerbes, and more recently nonabelian gerbes and the twisted…

### Gerbes, covariant derivatives, p-form lattice gauge theory, and the Yang-Baxter equation

- Mathematics
- 2002

In p-form lattice gauge theory, the fluctuating variables live on p-dimensional cells and interact around (p+1)-dimensional cells. It has been argued that the continuum version of this model should…

### Higher Gauge Theory: 2-Connections on 2-Bundles

- Mathematics
- 2004

Connections and curvings on gerbes are beginning to play a vital role in differential geometry and mathematical physics -- first abelian gerbes, and more recently nonabelian gerbes. These concepts…

### BRST, anti-BRST and their geometry

- Mathematics
- 2010

We continue the comparison between the field theoretical and geometrical approaches to the gauge field theories of various types, by deriving their Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST…

### Non-abelian D = 11 supermembrane

- Physics
- 2011

We obtain a U(M) action for super membranes with central charges in the Light Cone Gauge (LCG). The theory realizes all of the symmetries and constraints of the supermembrane together with the…

### The minimally immersed 4D supermembrane

- Mathematics
- 2008

In this note we summarize some of the properties found in [1], and its relation with [2]. We comment on the construction of the action of the 11D supermembrane with nontrivial central charges…

### Higher gauge theory

- Mathematics
- 2005

Just as gauge theory describes the parallel transport of point particles using connections on bundles, higher gauge theory describes the parallel transport of 1-dimensional objects (e.g. strings)…

### A New Mechanism for Gauging a Theory

- Mathematics
- 2011

We provide a mechanism of gauging a theory based on a particular way to embed a theory on a target space such that a nontrivial fibration is produced. A connection over a nontrivial fibration with…

## References

SHOWING 1-10 OF 58 REFERENCES