229 citations · 740 across the 37 of their papers we have counts for
19 papers · 1 filter
Beyond the circle: current algebras, geometry and higher gauge structures
R. Campoamor-Stursberg, A. Marrani, M. Rausch de Traubenberg
Replacing the circle by a manifold leads to current Lie algebras and their central and derivation extensions. We separate the coefficient algebra, harmonic analysis and geometric d…
The Euler-Heisenberg Lagrangian beyond one loop
Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert
We review what is presently known about higher loop corrections to the Euler-Heisenberg Lagrangian and its Scalar QED analogue. The use of those corrections as a tool for the study…
Unexpected Features of Supersymmetry with Central Charges
R. Campoamor-Stursberg, M. Rausch de Traubenberg
It is shown that N=2 supersymmetric theories with central charges present some hidden quartic symmetry. This enables us to construct representations of the quartic structure induce…
Parafermions for higher order extensions of the Poincaré algebra and their associated superspace
R. Campoamor-Stursberg, M. Rausch de Traubenberg
Parafermions of order two and three are shown to be the fundamental tool to construct superspaces related to cubic and quartic extensions of the Poincaré algebra. The corresponding…
An infinite supermultiplet of massive higher-spin fields
Xavier Bekaert, Michel Rausch de Traubenberg, Mauricio Valenzuela
The representation theory underlying the infinite-component relativistic wave equation written by Majorana is revisited from a modern perspective. On the one hand, the massless sol…
Field Theoretic Realizations for Cubic Supersymmetry
N. Mohammedi, G. Moultaka, M. Rausch de Traubenberg
We consider a four dimensional space-time symmetry which is a non trivial extension of the Poincaré algebra, different from supersymmetry and not contradicting {\sl a priori} the w…
Finite-dimensional Lie algebras of order F
M. Rausch de Traubenberg, M. J. Slupinski
Lie algebras are natural generalisations of Lie algebras (F=1) and Lie superalgebras (F=2). When not many finite-dimensional examples are known. In this paper we construc…
Fractional Supersymmetry and F-fold Lie Superalgebras
M. Rausch de Traubenberg, M. J. Slupinski
We give infinite dimensional and finite dimensional examples of fold Lie superalgebras. The finite dimensional examples are obtained by an inductive procedure from Lie algebras…
Fractional Supersymmetry and Infinite Dimensional Lie Algebras
M. Rausch de Traubenberg
In an earlier work extensions of supersymmetry and super Lie algebras were constructed consistently starting from any representation $\D$ of any Lie algebra $\g$. Here it is shown…
Fractional helicity, Lorentz symmetry breaking, compactification and anyons
Sergey M. Klishevich, Mikhail S. Plyushchay, Michel Rausch de Traubenberg
We construct the covariant, spinor sets of relativistic wave equations for a massless field on the basis of the two copies of the R-deformed Heisenberg algebra. For the finite-dime…
Extended Complex Trigonometry in Relation to Integrable 2D-Quantum Field Theories and Duality
P. Baseilhac, S. Galice, P. Grangé +1
Multicomplex numbers of order n have an associated trigonometry (multisine functions with (n-1) parameters) leading to a natural extension of the sine-Gordon model. The parameters…
Cubic root of Klein-Gordon equation
Mikhail S. Plyushchay, Michel Rausch de Traubenberg
We construct new relativistic linear differential equation in dimensions generalizing Dirac equation by employing the Clifford algebra of the cubic polynomial associated to Kle…
Fractional Supersymmetry and Fth-Roots of Representations
M. Rausch de Traubenberg, M. J. Slupinski
A generalization of super-Lie algebras is presented. It is then shown that all known examples of fractional supersymmetry can be understood in this formulation. However, the incorp…
Extension of sine-Gordon field theory from generalized Clifford algebras
P. Baseilhac, P. Grangé, M. Rausch de Traubenberg
Linearization of homogeneous polynomials of degree n and k variables leads to generalized Clifford algebras. Multicomplex numbers are then introduced in analogy to complex numbers…
Non-Trivial Extensions of the 3D-Poincaré Algebra and Fractional Supersymmetry for Anyons
M. Rausch de Traubenberg, M. J. Slupinski
Non-trivial extensions of the three dimensional Poincaré algebra, beyond the supersymmetric one, are explicitly constructed. These algebraic structures are the natural three dimens…
Fractional Supersymmetry and Conformal Field Theory for alternative statistics
M. Rausch de Traubenberg, P. Simon
Supersymmetry can be consistently generalized in one and two dimensional spaces, fractional supersymmetry being one of the possible extension. 2D fractional supersymmetry of arbitr…
2D Fractional Supersymmetry for Rational Conformal Field Theory. Application for Third-Integer Spin States
A. Perez, M. Rausch de Traubenberg, P. Simon
A 2D- fractional supersymmetry theory is algebraically constructed. The Lagrangian is derived using an adapted superspace including, in addition to a scalar field, two fields with…
Local Fractional Supersymmetry for Alternative Statistics
N. Fleury, M. Rausch de Traubenberg
A group theory justification of one dimensional fractional supersymmetry is proposed using an analogue of a coset space, just like the one introduced in supersymmetry. This th…
Clifford Algebras of Polynomials Generalized Grassmann Algebras and q-Deformed Heisenberg Algebras
M. Rausch de Traubenberg
Classification of finite dimensional representations of the q-deformed Heisenberg algebra is made by the help of Clifford algebra of polynomials and generalized Grassmann…