Plethystic vertex operators and boson-fermion correspondences

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FAUSER, Bertfried, Peter D JARVIS, Ronald C KING, 2016. Plethystic vertex operators and boson-fermion correspondences. In: Journal of Physics / A: Mathematical and Theoretical. 49(42), 425201. ISSN 1751-8113. eISSN 1751-8121. Available under: doi: 10.1088/1751-8113/49/42/425201

@article{Fauser2016-10-21Pleth-37443, title={Plethystic vertex operators and boson-fermion correspondences}, year={2016}, doi={10.1088/1751-8113/49/42/425201}, number={42}, volume={49}, issn={1751-8113}, journal={Journal of Physics / A: Mathematical and Theoretical}, author={Fauser, Bertfried and Jarvis, Peter D and King, Ronald C}, note={Article Number: 425201} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:available rdf:datatype="">2017-02-15T13:02:10Z</dcterms:available> <dc:contributor>Jarvis, Peter D</dc:contributor> <dcterms:title>Plethystic vertex operators and boson-fermion correspondences</dcterms:title> <dc:date rdf:datatype="">2017-02-15T13:02:10Z</dc:date> <dc:language>eng</dc:language> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dspace:isPartOfCollection rdf:resource=""/> <dc:creator>King, Ronald C</dc:creator> <dc:contributor>Fauser, Bertfried</dc:contributor> <dc:creator>Jarvis, Peter D</dc:creator> <dc:contributor>King, Ronald C</dc:contributor> <dc:creator>Fauser, Bertfried</dc:creator> <dcterms:abstract xml:lang="eng">We study the algebraic properties of plethystic vertex operators, introduced in (2010 J. Phys. A: Math. Theor. 43 405202), underlying the structure of symmetric functions associated with certain generalized universal character rings of subgroups of the general linear group, defined to stabilize tensors of Young symmetry type characterized by a partition of arbitrary shape π. Here we establish an extension of the well-known boson-fermion correspondence involving Schur functions and their associated (Bernstein) vertex operators: for each π, the modes generated by the plethystic vertex operators and their suitably constructed duals, satisfy the anticommutation relations of a complex Clifford algebra. The combinatorial manipulations underlying the results involve exchange identities exploiting the Hopf-algebraic structure of certain symmetric function series and their plethysms.</dcterms:abstract> <bibo:uri rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:isPartOf rdf:resource=""/> <dcterms:issued>2016-10-21</dcterms:issued> </rdf:Description> </rdf:RDF>

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