Composition of many spins, random walks and statistics

DOI10.1016/j.nuclphysb.2016.09.023zbMath1349.81214arXiv1609.04702OpenAlexW2522440135MaRDI QIDQ347592

Alexios P. Polychronakos, Konstantinos Sfetsos

Publication date: 30 November 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04702

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Spinor and twistor methods applied to problems in quantum theory (81R25) Many-body theory; quantum Hall effect (81V70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of group representations to physics and other areas of science (20C35) Electro- and magnetostatics (78A30) Statistical thermodynamics (82B30)

Related Items (5)

Spin multiplicities ⋮ Ferromagnetic phase transitions in \(SU(N)\) ⋮ Composing arbitrarily many \(SU(N)\) fundamentals ⋮ On the composition of an arbitrary collection of SU(2) spins: an enumerative combinatoric approach ⋮ Stellar representation of multipartite antisymmetric states

Cites Work

• Exact spectrum of \(\text{SU}(n)\) spin chain with inverse-square exchange
• Spin multiplicities
• Exact eigenspectrum of the symmetric simple exclusion process on the complete, complete bipartite and related graphs
• Singular solutions, repeated roots and completeness for higher-spin chains

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