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Pregled bibliografske jedinice broj: 1103008

Some new constructions of vertex algebras and their modules in LCFT

Adamović, Dražen
Some new constructions of vertex algebras and their modules in LCFT // Beyond Rationality ∞: exploring the many roads to postrational conformal field theory
Zeist, Nizozemska, 2019. (pozvano predavanje, podatak o recenziji nije dostupan, neobjavljeni rad, znanstveni)

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Naslov
Some new constructions of vertex algebras and their modules in LCFT

Autori
Adamović, Dražen

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Beyond Rationality ∞: exploring the many roads to postrational conformal field theory

Mjesto i datum
Zeist, Nizozemska, 12.12.2019. - 13.12.2019

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Podatak o recenziji nije dostupan

Ključne riječi
vertex algebras, affine vertex algebras ; logarithmic conformal field theory

Sažetak
We shall first review some basic constructions in the representation theory of $C_2$ cofinite VOAs in LCFT. They carry the structure of certain extensions of non-rational Virasoro vertex algebras. Next we shall discuss our recent realizations of affine vertex algebras $V_k(sl(2))$, and show how one can obtain realization of their logarithmic modules. We will also present a properties of new logarithmic VOAs, called the R^(p) algebras, present their different realizations and prove certain interesting conjectures related to them (this part is based on recent joint work with T. Creutzig, N. Genra and J. Yang). Some applications in the representation theory of affine vertex algebras will be also discussed.

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 Dražen Adamović (autor)

Poveznice na cjeloviti tekst rada:

sites.google.com sites.google.com

Citiraj ovu publikaciju:

Adamović, Dražen
Some new constructions of vertex algebras and their modules in LCFT // Beyond Rationality ∞: exploring the many roads to postrational conformal field theory
Zeist, Nizozemska, 2019. (pozvano predavanje, podatak o recenziji nije dostupan, neobjavljeni rad, znanstveni)
Adamović, D. (2019) Some new constructions of vertex algebras and their modules in LCFT. U: Beyond Rationality ∞: exploring the many roads to postrational conformal field theory.
@article{article, author = {Adamovi\'{c}, Dra\v{z}en}, year = {2019}, keywords = {vertex algebras, affine vertex algebras, logarithmic conformal field theory}, title = {Some new constructions of vertex algebras and their modules in LCFT}, keyword = {vertex algebras, affine vertex algebras, logarithmic conformal field theory}, publisherplace = {Zeist, Nizozemska} }
@article{article, author = {Adamovi\'{c}, Dra\v{z}en}, year = {2019}, keywords = {vertex algebras, affine vertex algebras, logarithmic conformal field theory}, title = {Some new constructions of vertex algebras and their modules in LCFT}, keyword = {vertex algebras, affine vertex algebras, logarithmic conformal field theory}, publisherplace = {Zeist, Nizozemska} }

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