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Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry
Інший ID:
2010 Mathematics Subject Classification: 17B37; 81R50; 82B23
DOI:10.3842/SIGMA.2017.015
DOI:10.3842/SIGMA.2017.015
Посилання:
Bethe Vectors for Composite Models with gl(2|1) and gl(1|2) Supersymmetry / J. Fuksa // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 33 назв. — англ.
Підтримка:
The author wants to express his gratitude to N.A. Slavnov for the proposal to investigate this
topic and discussions. He thanks also to S. Pakuliak for discussions and to A.P. Isaev and
C. Burd´ık for their support. The work of the author has been supported by the Grant Agency ˇ
of the Czech Technical University in Prague, grant No. SGS15/215/OHK4/3T/14, and by the
Grant of the Plenipotentiary of the Czech Republic at JINR, Dubna.
Дата:
2017
Переглядів:
507
Завантажень:
218
Анотація:
Supersymmetric composite generalized quantum integrable models solvable by the algebraic Bethe ansatz are studied. Using a coproduct in the bialgebra of monodromy matrix elements and their action on Bethe vectors, formulas for Bethe vectors in the composite models with supersymmetry based on the super-Yangians Y[gl(2|1)] and Y[gl(1|2)] are derived.
