# Deformed Gauge Theories

@inproceedings{Wess2006DeformedGT, title={Deformed Gauge Theories}, author={Julius Wess}, year={2006} }

Gauge theories are studied on a space of functions with the Moyal-Weyl product. The development of these ideas follows the differential geometry of the usual gauge theories, but several changes are forced upon us. The Leibniz rule has to be changed such that the theory is now based on a twisted Hopf algebra. Nevertheless, this twisted symmetry structure leads to conservation laws. The symmetry has to be extended from Lie algebra valued to enveloping algebra valued and new vector potentials have…

## 21 Citations

### Gauge symmetries on θ-deformed spaces

- Physics
- 2007

A Hamiltonian formulation of gauge symmetries on noncommutative (θ deformed) spaces is discussed. Both cases- star deformed gauge transformation with normal coproduct and undeformed gauge…

### Singular gauge transformations in string field theory

- Physics
- 2009

We show that the existence of a tachyon vacuum puts tight restrictions on the form of solutions to the equations of motion of string field theory. In particular, we demonstrate that every solution…

### Gauge Generators , Transformations and Identities on a Noncommutative Space

- Physics
- 2007

By abstracting a connection between gauge symmetry and gauge identity on a noncommutative space, we analyse star (deformed) gauge transformations with usual Leibnitz rule as well as undeformed gauge…

### Gauge generators, transformations and identities on a noncommutative space

- Physics
- 2007

By abstracting a connection between gauge symmetry and gauge identity on a noncommutative space, we analyse star (deformed) gauge transformations with the usual Leibniz rule as well as undeformed…

### Star product geometries

- Mathematics
- 2009

We consider noncommutative geometries obtained from a triangular Drinfeld twist. This allows us to construct and study a wide class of noncommutative manifolds and their deformed Lie algebras of…

### Twisting all the way: From classical mechanics to quantum fields

- Mathematics
- 2008

We discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We discuss…

### Gauge Theories on Deformed Spaces

- Physics
- 2010

The aim of this review is to present an overview over available models and approaches to non-commutative gauge theory. Our main focus thereby is on gauge models formulated on flat Groenewold-Moyal…

### Theories on noncommutative spaces and deformed symmetries

- Physics
- 2010

In this thesis we study different aspects of noncommutativity in quantum mechanics, field theory and gravity. We give particular emphasis on the underlying symmetries of these theories. Deformations…

### Twisted covariant noncommutative self-dual gravity

- Mathematics
- 2008

A twisted covariant formulation of noncommutative self-dual gravity is presented. The formulation for constructing twisted noncommutative Yang-Mills theories is used. It is shown that the…

### Covariant Noncommutative Field Theory

- Mathematics
- 2008

The covariant approach to noncommutative field and gauge theories is revisited. In the process the formalism is applied to field theories invariant under diffeomorphisms. Local differentiable forms…

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Gauge theories on a space-time that is deformed by the Moyal–Weyl product are constructed by twisting the coproduct for gauge transformations. This way a deformed Leibniz rule is obtained, which is…

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