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The standard model on non-commutative space-time

- X. Calmet, B. Jurčo, P. Schupp, J. Wess, M. Wohlgenannt
- Physics
- 9 November 2001

Abstract. We consider the standard model on a non-commutative space and expand the action in the non-commutativity parameter $\theta^{\mu \nu}$. No new particles are introduced; the structure group… Expand

Enveloping algebra-valued gauge transformations for non-abelian gauge groups on non-commutative spaces

- B. Jurčo, S. Schraml, P. Schupp, J. Wess
- Mathematics, Physics
- 30 June 2000

Abstract. An enveloping algebra-valued gauge field is constructed, its components are functions of the Lie algebra-valued gauge field and can be constructed with the Seiberg-Witten map. This allows… Expand

Noncommutative Yang-Mills from equivalence of star products

Abstract. It is shown that the transformation between ordinary and noncommutative Yang-Mills theory as formulated by Seiberg and Witten is due to the equivalence of certain star products on the… Expand

Construction of non-Abelian gauge theories on noncommutative spaces

- B. Jurčo, L. Möller, S. Schraml, P. Schupp, J. Wess
- Mathematics, Physics
- 18 April 2001

Abstract. We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with a constant Poisson tensor) from a consistency relation.… Expand

Noncommutative Line Bundle and Morita Equivalence

Global properties of Abelian noncommutative gauge theories based on ⋆-products which are deformation quantizations of arbitrary Poisson structures are studied. The consistency condition for finite… Expand

NonAbelian noncommutative gauge theory via noncommutative extra dimensions

The concept of covariant coordinates on noncommutative spaces leads directly to gauge theories with generalized noncommutative gauge fields of the type that arises in string theory with background… Expand

Classical Yang–Baxter equations and quantum integrable systems

- B. Jurčo
- Mathematics
- 1 June 1989

Quantum integrable models associated with nondegenerate solutions of classical Yang–Baxter equations related to the simple Lie algebras are investigated. These models are diagonalized for rational… Expand

Semistrict higher gauge theory

- B. Jurčo, Christian Sämann, Martin Wolf
- Physics, Mathematics
- 27 March 2014

A bstractWe develop semistrict higher gauge theory from first principles. In particular, we describe the differential Deligne cohomology underlying semistrict principal 2-bundles with connective… Expand

Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory

- P. Aschieri, L. Cantini, B. Jurčo
- Mathematics, Physics
- 15 December 2003

Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied… Expand

L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism

- B. Jurčo, Lorenzo Raspollini, Christian Saemann, Martin Wolf
- Physics, Mathematics
- Fortschritte der Physik
- 26 September 2018

We review in detail the Batalin-Vilkovisky formalism for Lagrangian field theories and its mathematical foundations with an emphasis on higher algebraic structures and classical field theories. In… Expand

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