15 research outputs found
A class of representations of the orthosymplectic Lie superalgebras B(n,n) and B(infinity,infinity)
Get PDFOn Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
Get PDFThe centrally extended su(2|2) superalgebra is an asymptotic symmetry of the
light-cone string sigma model on AdS5 x S5. We consider an evaluation
representation of the conventional Yangian built over a particular
16-dimensional long representation of the centrally extended su(2|2).
Interestingly, we find that S-matrices compatible with this evaluation
representation do not exist. On the other hand, by requiring centrally extended
su(2|2) invariance and explicitly solving the Yang-Baxter equation, we find a
scattering matrix for long-short representations of the Lie superalgebra. We
notice that this S-matrix is invariant under a different representation of
non-evaluation type, induced from the tensor product of short representations.
Our findings concern the conventional Yangian only, and are not applied to
possible algebraic extensions of the latter.Comment: Version accepted for publication in JHE
THE QUANTUM SUPERALGEBRA UQ[OSP(1/2N)] - DEFORMED PARA-BOSE OPERATORS AND ROOT OF UNITY REPRESENTATIONS.
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FINITE-DIMENSIONAL REPRESENTATIONS OF THE QUANTUM SUPERALGEBRA UQ[GL(3/2)] IN A REDUCED UQ[GL(3/2)] SUPERSET-OF UQ[GL(3/1)] SUPERSET-OF UQ[QL(3)] BASIS.
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Finite-dimensional representations of the quantum superalgebra Uq[gl(m/n)] and related q-identities.
No full textFock representations of the superalgebra sl(n+1 vertical bar m), its quantum analogue U-q[sl(n+1 vertical bar m)] and related quantum statistics.
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