229 citations · 740 across the 37 of their papers we have counts for
39 papers
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…
On a new class of high-corank Kac-Moody algebras
Simon Beaudoin, Quentin Bonnefoy, Alessio Marrani +2
We present recursive constructions of several families of generalized Cartan matrices associated with Kac-Moody algebras, whose sizes and coranks grow exponentially. The constructi…
Kac-Moody and Virasoro algebras on the two-sphere and the two-torus
Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg
We particularise the construction of generalised Kac-Moody algebras associated to compact real manifolds to the case of the two-torus and the two-sphere ${\mathbb S}^…
An infinite-rank Lie algebra associated to SL and SL
Rutwig Campoamor-Stursberg, Alessio Marrani, Michel Rausch de Traubenberg
We construct a generalised notion of Kac-Moody algebras using smooth maps from the non-compact manifolds SL and SL to a fi…
Group invariants for Feynman diagrams
Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert
It is well-known that the symmetry group of a Feynman diagram can give important information on possible strategies for its evaluation, and the mathematical objects that will be in…
Generalisation of affine Lie algebras on compact real manifolds
Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de Traubenberg
We report on recent work concerning a new type of generalised Kac-Moody algebras based on the spaces of differentiable mappings from compact manifolds or homogeneous spaces onto co…
Vertex operator for generalised Kac--Moody algebras associated to the two-sphere and the two-torus
Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg
We pursue our study of generalised Kac-Moody and Virasoro algebras defined on compact homogeneous manifolds. Extending the well-known Vertex operator in the case of the two-torus o…
Fermion realisations of generalised Kac--Moody and Virasoro algebras associated to the two-sphere and the two-torus
Rutwig Campoamor-Stursberg, Michel Rausch de Traubenberg
Using the notion of extension of Kac-Moody algebras for higher dimensional compact manifolds recently introduced in [1], we show that for the two-torus $\mathbb S^1 \times \mathbb…
Commutation relations of and the incidence geometry of the Fano plane
Michel Rausch de Traubenberg, M J Slupinski
We continue our study and classification of structures on the Fano plane and its dual involved in the construction of octonions and the Lie algebra $\mat…
An overview of generalised Kac-Moody algebras on compact real manifolds
Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de Traubenberg
A generalised notion of Kac-Moody algebra is defined using smooth maps from a compact real manifold to a finite-dimensional Lie group, by means of complete orthonorma…
Polynomial invariants and moduli of generic two-dimensional commutative algebras
M. Rausch de Traubenberg, M. Slupinski
Let be a two-dimensional vector space over a field of characteristic not or . We show there is a canonical surjection from the set of suitably generic co…
Unitary representations of three dimensional Lie groups revisited: An approach via harmonic functions
R. Campoamor-Stursberg, M. Rausch de Traubenberg
Harmonic functions of the three dimensional Lie groups defined on certain manifolds related to the Lie groups themselves and carrying all their unitary representations are explicit…
Chargino and neutralino production at the Large Hadron Collider in left-right supersymmetric models
Adam Alloul, Mariana Frank, Benjamin Fuks +1
We present a complete and extensive analysis of associated chargino and neutralino production in the framework of a supersymmetric theory augmented by left-right symmetry. This mod…
Doubly-charged particles at the Large Hadron Collider
Adam Alloul, Mariana Frank, Benjamin Fuks +1
In this work we investigate the production and signatures of doubly-charged particles at the Large Hadron Collider. We start with the Standard Model particle content and representa…
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, ternary algebras and their associated superspace
R. Campoamor-Stursberg, M. Rausch de Traubenberg
Parafermions of order two are shown to be the fundamental tool to construct ternary superspaces related to cubic extensions of the Poincaré algebra
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…
Hopf algebras for ternary algebras
M. Goze, M. Rausch de Traubenberg
We construct an universal enveloping algebra associated to the ternary extension of Lie (super)algebras called Lie algebra of order three. A Poincaré-Birkhoff-Witt theorem is prove…
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…
Kac-Moody algebras and Lie algebras of regular vector fields on tori
M. Rausch de Traubenberg, M. J. Slupinski
We consider the problem of representing the Kac-Moody algebra specified by an indecomposable generalised Cartan matrix as vector fields on the tor…