Published December 2017
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SL(2,C) Gustafson integrals
Creators
- 1. Russian Academy of Sciences, St. Petersburg (Russian Federation). Steklov Mathematical Inst.
- 2. Regensburg Univ. (Germany). Inst. fuer Theoretische Physik
- 3. Hamburg Univ. (Germany). 1. Inst. fuer Theoretische Physik
Description
It was shown recently that many of the Gustafson integrals appear in studies of the SL(2,R) spin chain models. One can hope to obtain a generalization of the Gustafson integrals considering spin chain models with a different symmetry group. In this paper we analyse the spin magnet with the SL(2,C) symmetry group in case of open and periodic boundary conditions and derive several new integrals.
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Additional details
Publishing Information
- Imprint Pagination
- 16 p.
- ISSN
- 0418-9833
- Report number
- DESY--17-200
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 49073866
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGEBRA; BOUNDARY CONDITIONS; CRYSTAL MODELS; INTEGRALS; PAULI SPIN OPERATORS; SL GROUPS; SPIN ORIENTATION
- Descriptors DEC
- ANGULAR MOMENTUM OPERATORS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICS; ORIENTATION; QUANTUM OPERATORS; SYMMETRY GROUPS