451 citations
- Instituto de Estructura de la MateriaES7 papers
- Massachusetts Institute of TechnologyUS6 papers
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16 papers · 1 filter
Contraction based classification of supersymmetric extensions of kinematical Lie algebras
R. Campoamor-Stursberg, M. Rausch de Traubenberg
We study supersymmetric extensions of classical kinematical algebras from the point of view of contraction theory. It is shown that contracting the supersymmetric extension of the…
An exactly solvable supersymmetric spin chain of BC_N type
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
We construct a new exactly solvable supersymmetric spin chain related to the BC_N extended root system, which includes as a particular case the BC_N version of the Polychronakos-Fr…
From Euclidean to Minkowski space with the Cauchy-Riemann equations
Mercedes Gimeno-Segovia, Felipe J. Llanes-Estrada
We present an elementary method to obtain Green's functions in non-perturbative quantum field theory in Minkowski space from calculated Green's functions in Euclidean space. Since…
Casimir operators induced by Maurer-Cartan equations
R. Campoamor-Stursberg
It is shown that for inhomogeneous Lie algebras satisfying the condition , the only Casimir opera…
The Berry-Tabor conjecture for spin chains of Haldane-Shastry type
J. C. Barba, F. Finkel, A. Gonzalez-Lopez +1
According to a long-standing conjecture of Berry and Tabor, the distribution of the spacings between consecutive levels of a "generic'' integrable model should follow Poisson's law…
Kinematical superalgebras and Lie algebras of order 3
R. Campoamor-Stursberg, M. Rausch de Traubenberg
We study and classify kinematical algebras which appear in the framework of Lie superalgebras or Lie algebras of order three. All these algebras are related through generalised Ino…