209 citations · 1.4k across the 70 of their papers we have counts for
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A Century of Group Theory in Particle Physics and Beyond
Paul Sorba
The development of Group Theory in Mathematics as well as its impact in Physics has been spectacular during the twentieth century, and more particularly these last fifty years. If…
About the Non Relativistic Structure of the AdS/CFT Superalgebras
Antonino Sciarrino, Paul Sorba
The property of the conformal algebra to contain the Schrödinger algebra in one less space dimension is extended to the supersymmetric case. More precisely, we determine the counte…
Off-critical Luttinger Junctions
Brando Bellazzini, Mihail Mintchev, Paul Sorba
We investigate Luttinger junctions of quantum wires away from criticality. The one-body scattering matrix, corresponding to the off-critical boundary conditions at the junction, ad…
Quantum wire junctions breaking time reversal invariance
Brando Bellazzini, Mihail Mintchev, Paul Sorba
We explore the possibility to break time reversal invariance at the junction of quantum wires. The universal features in the bulk of the wires are described by the anyon Luttinger…
Half-BPS supergravity solutions and superalgebras
Eric D'Hoker, John Estes, Michael Gutperle +2
We establish a correspondence between certain Lie superalgebras with 16 fermionic generators, and half-BPS solutions to supergravities with 32 supersymmetries. Three cases are disc…
Quantum Fields on Star Graphs with Bound States at the Vertex
B. Bellazzini, M. Mintchev, P. Sorba
We investigate the propagation of a massless scalar field on a star graph, modeling the junction of quantum wires. The vertex of the graph is represented by a point-like impuri…
Quantum Field Theory on Star Graphs
B. Bellazzini, M. Burrello, M. Mintchev +1
We discuss some basic aspects of quantum fields on star graphs, focusing on boundary conditions, symmetries and scale invariance in particular. We investigate the four-fermion bulk…
Bosonization and Scale Invariance on Quantum Wires
B. Bellazzini, M. Mintchev, P. Sorba
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 gra…
Bosonization and Vertex Algebras with Defects
Mihail Mintchev, Paul Sorba
The method of bosonization is extended to the case when a dissipationless point-like defect is present in space-time. Introducing the chiral components of a massless scalar field,…
Reflection-Transmission Quantum Yang-Baxter Equations
V. Caudrelier, M. Mintchev, E. Ragoucy +1
We explore the reflection-transmission quantum Yang-Baxter equations, arising in factorized scattering theory of integrable models with impurities. The physical origin of these equ…
Finite Temperature Quantum Field Theory with Impurities
M. Mintchev, P. Sorba
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 tempera…
Reflection-Transmission Algebras
M. Mintchev, E. Ragoucy, P. Sorba
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. Distingu…
Scattering in the Presence of a Reflecting and Transmitting Impurity
M. Mintchev, E. Ragoucy, P. Sorba
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…
Integrable XYZ Model with Staggered Anisotropy Parameter
D. Arnaudon, D. Karakhanyan, M. Mirumyan +2
We apply to the XYZ model the technique of construction of integrable models with staggered parameters, presented recently for the XXZ case. The solution of modified Yang-Baxter eq…
Spontaneous symmetry breaking in the gl(N)-NLS hierarchy on the half line
M. Mintchev, E. Ragoucy, P. Sorba
We describe an algebraic framework for studying the symmetry properties of integrable quantum systems on the half line. The approach is based on the introduction of boundary operat…
Integrable Ladder t-J Model with Staggered Shift of the Spectral Parameter
J. Ambjorn, D. Arnaudon, A. Sedrakyan +2
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented and an integrable model of t-J type with stag…
Integrable Chain Model with Additional Staggered Model Parameter
D. Arnaudon, R. Poghossian, A. Sedrakyan +1
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition alo…
Yangian symmetry in the Non Linear Schrodinger hierarchy
M. Mintchev, E. Ragoucy, P. Sorba +1
We study the Yangian symmetry of the multicomponent Quantum Nonlinear Schrodinger hierarchy in the framework of the Quantum Inverse Scattering Method. We give an explicit realizati…
Yangians, finite W-algebras and the Non Linear Schrodinger hierarchy
M. Mintchev, E. Ragoucy, P. Sorba +1
We show an algebra morphism between Yangians and some finite W-algebras. This correspondence is nicely illustrated in the framework of the Non Linear Schrodinger hierarchy. For suc…
A remarkable connection between Yangians and finite W-algebras
E. Ragoucy, P. Sorba
For a large class of finite W algebras, the defining relations of a Yangian are proved to be satisfied. Therefore such finite W algebras appear as realisations of Yangians. This re…
Remarks on Finite W Algebras
F. Barbarin, E. Ragoucy, P. Sorba
The property of some finite W algebras to be the commutant of a particular subalgebra of a simple Lie algebra G is used to construct realizations of G. When G=so(4,2), unitary repr…
Dictionary on Lie Superalgebras
L. Frappat, A. Sciarrino, P. Sorba
The main definitions and properties of Lie superalgebras are proposed a la facon de a short dictionary, the different items following the alphabetical order. The main topics deal w…
W-realization of Lie algebras: application to so(4,2) and Poincare algebras
F. Barbarin, E. Ragoucy, P. Sorba
The property of some finite W-algebras to appear as the commutant of a particular subalgebra in a simple Lie algebra G is exploited for the obtention of new G-realizations from a "…
Strings from Gauged Wess-Zumino-Witten Models
E. Ragoucy, A. Sevrin, P. Sorba
We present an algebraic approach to string theory. An embedding of in a super Lie algebra together with a grading on the Lie algebra determines a nilpotent subalgebra of…