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Pregled bibliografske jedinice broj: 1103180

On fusion rules for the Weyl vertex algebra modules


Adamović, Dražen; Pedić, Veronika
On fusion rules for the Weyl vertex algebra modules // The Mathematical Foundations of Conformal Field Theory and Related Topics
Tianjin, Kina, 2019. str. 1-1 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
On fusion rules for the Weyl vertex algebra modules

Autori
Adamović, Dražen ; Pedić, Veronika

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
The Mathematical Foundations of Conformal Field Theory and Related Topics

Mjesto i datum
Tianjin, Kina, 10.06.2019. - 14.06.2019

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Vertex algebras, vertex operator algebras, fusion rules, intertwining operators, Lie superalgebra

Sažetak
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 the 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 $\widehat{; ; gl(1 \vert 1)}; ; $. This is joint work with Drazen Adamovic.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)

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:

math.aalto.fi math.aalto.fi

Citiraj ovu publikaciju:

Adamović, Dražen; Pedić, Veronika
On fusion rules for the Weyl vertex algebra modules // The Mathematical Foundations of Conformal Field Theory and Related Topics
Tianjin, Kina, 2019. str. 1-1 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
Adamović, D. & Pedić, V. (2019) On fusion rules for the Weyl vertex algebra modules. U: The Mathematical Foundations of Conformal Field Theory and Related Topics.
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Pedi\'{c}, Veronika}, year = {2019}, pages = {1-1}, keywords = {Vertex algebras, vertex operator algebras, fusion rules, intertwining operators, Lie superalgebra}, title = {On fusion rules for the Weyl vertex algebra modules}, keyword = {Vertex algebras, vertex operator algebras, fusion rules, intertwining operators, Lie superalgebra}, publisherplace = {Tianjin, Kina} }
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Pedi\'{c}, Veronika}, year = {2019}, pages = {1-1}, keywords = {Vertex algebras, vertex operator algebras, fusion rules, intertwining operators, Lie superalgebra}, title = {On fusion rules for the Weyl vertex algebra modules}, keyword = {Vertex algebras, vertex operator algebras, fusion rules, intertwining operators, Lie superalgebra}, publisherplace = {Tianjin, Kina} }




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