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- L. Frappat, P. Sorba, A. Sciarrino
- 1996

Foreword The main definitions and properties of Lie superalgebras are proposedà la façon de a short dictionary, the different items following the alphabetical order. The main topics deal with the structure of simple Lie superalgebras and their finite dimensional representations; rather naturally, a few pages are devoted to supersymmetry. This modest booklet… (More)

- A. I. Molev, P. Sorba
- 2002

We introduce two subalgebras in the type A quantum affine algebra which are coideals with respect to the Hopf algebra structure. In the classical limit q → 1 each subalgebra specializes to the enveloping algebra U(k), where k is a fixed point subalgebra of the loop algebra glN [λ, λ −1] with respect to a natural involution corresponding to the embedding of… (More)

- L. Frappat, A. Sciarrino, P. Sorba
- 1998

The quantum enveloping algebra Uq(sl(2) ⊕ sl(2)) in the limit q → 0 is proposed as a symmetry algebra for the genetic code. In this approach the triplets of nucleotids or codons in the DNA chain are classified in crystal bases, tensor product of Uq→0(sl(2)⊕ sl(2)) representations. Such a construction might be compared to the baryon classification from quark… (More)

- P. Sorba
- 2003

Inspired by factorized scattering from delta–type impurities in (1+1)-dimensional space-time, we propose and analyse a generalization of the Zamolodchikov–Faddeev algebra. Distinguished elements of the new algebra, called reflection and transmission generators, encode the particle–impurity interactions. We describe in detail the underlying algebraic… (More)

- L. Frappat, A. Sciarrino, P. Sorba
- 1998

The ratios of the codon usage in the quartets and sextets for the vertebrate series exhibit a correlated behaviour which fits naturally in the framework of the crystal basis model of the genetic code [1]. Moreover the observed universal behaviour of these suitably normalized ratios can be easily explained. LAPTH-709/98 physics/9812041 December 1998

- E. Ragoucy, P. Sorba
- 2008

We construct an algebra homomorphism between the Yangian Y (sl(n)) and the finite W-algebras W(sl(np), n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such W-algebras. hep-th/9803243 CERN-TH/98-104 LAPTH-672/98 March 1998 ragoucy@lapp.in2p3.fr On leave of absence from LAPTH.… (More)

- B. Bellazzini, M. Mintchev, P. Sorba
- 2006

We develop a systematic approach to bosonization and vertex algebras on quantum wires of the form of star graphs. The related bosonic fields propagate freely in the bulk of the graph, but interact with its vertex. Our framework covers all possible interactions preserving unitarity. Special attention is devoted to the scale invariant interactions, which… (More)

- M. Mintchev, P. Sorba
- 2002

We investigate factorized scattering from a reflecting and transmitting impurity. Bulk scattering is non trivial, provided that the bulk scattering matrix depends separately on the spectral parameters of the colliding particles, and not only on their difference. We show that a specific extension of a boundary algebra encodes the underlying scattering… (More)

- P. Sorba, F. Toppan
- 1993

Factoring out the spin 1 subalgebra of a W algebra leads to a new W structure which can be seen either as a rational finitely generated W algebra or as a polynomial non-linear W∞ realization. ENSLAPP-AL-429/93 NORDITA-93/47-P June 1993 URA 14-36 du CNRS, associée à l’Ecole Normale Supérieure de Lyon, et au Laboratoire d’Annecyle-Vieux de Physique des… (More)

- M. Mintchev, P. Sorba
- 2004

We apply the concept of reflection-transmission (RT) algebra, originally developed in the context of integrable systems in 1+1 space-time dimensions, to the study of finite temperature quantum field theory with impurities in higher dimensions. We consider a scalar field in (s + 1) + 1 space-time dimensions, interacting with impurities localized on… (More)