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Pregled bibliografske jedinice broj: 1015145

On fusion rules and intertwining operators for the Weyl vertex algebra


Adamović, Dražen; Pedić, Veronika
On fusion rules and intertwining operators for the Weyl vertex algebra // Journal of mathematical physics, 60 (2019), 8; 081701, 18 doi:10.1063/1.5098128 (međunarodna recenzija, članak, znanstveni)


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Naslov
On fusion rules and intertwining operators for the Weyl vertex algebra

Autori
Adamović, Dražen ; Pedić, Veronika

Izvornik
Journal of mathematical physics (0022-2488) 60 (2019), 8; 081701, 18

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
vertex algebra ; Weyl vertex algebra ; fusion rules ; intertwining operators

Sažetak
In vertex algebra theory, fusion rules are described as the dimension of the vector space of intertwining operators between three irreducible modules. We describe fusion rules in the category of weight modules for the Weyl vertex algebra. This way, we confirm the conjecture on fusion rules based on the Verlinde formula. We explicitly construct intertwining operators appearing in the formula for fusion rules. We present a result which relates irreducible weight modules for the Weyl vertex algebra to the irreducible modules for the affine Lie superalgebra gl(1|1).

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika



POVEZANOST RADA


Projekti:
ZCI QuantiXLie

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Veronika Pedić (autor)

Avatar Url Dražen Adamović (autor)

Poveznice na cjeloviti tekst rada:

doi doi.org aip.scitation.org

Citiraj ovu publikaciju:

Adamović, Dražen; Pedić, Veronika
On fusion rules and intertwining operators for the Weyl vertex algebra // Journal of mathematical physics, 60 (2019), 8; 081701, 18 doi:10.1063/1.5098128 (međunarodna recenzija, članak, znanstveni)
Adamović, D. & Pedić, V. (2019) On fusion rules and intertwining operators for the Weyl vertex algebra. Journal of mathematical physics, 60 (8), 081701, 18 doi:10.1063/1.5098128.
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Pedi\'{c}, Veronika}, year = {2019}, pages = {18}, DOI = {10.1063/1.5098128}, chapter = {081701}, keywords = {vertex algebra, Weyl vertex algebra, fusion rules, intertwining operators}, journal = {Journal of mathematical physics}, doi = {10.1063/1.5098128}, volume = {60}, number = {8}, issn = {0022-2488}, title = {On fusion rules and intertwining operators for the Weyl vertex algebra}, keyword = {vertex algebra, Weyl vertex algebra, fusion rules, intertwining operators}, chapternumber = {081701} }
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Pedi\'{c}, Veronika}, year = {2019}, pages = {18}, DOI = {10.1063/1.5098128}, chapter = {081701}, keywords = {vertex algebra, Weyl vertex algebra, fusion rules, intertwining operators}, journal = {Journal of mathematical physics}, doi = {10.1063/1.5098128}, volume = {60}, number = {8}, issn = {0022-2488}, title = {On fusion rules and intertwining operators for the Weyl vertex algebra}, keyword = {vertex algebra, Weyl vertex algebra, fusion rules, intertwining operators}, chapternumber = {081701} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati:





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