Results 61 to 70 of about 247 (140)

Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra

open access: yesJournal of Algebra, 2016
Latex, 13 pages, Journal of Algebra 2015, In Press.
openaire   +2 more sources

Central extension of Virasoro type subalgebras of the Zamolodchikov--$w_{\infty}$ Lie algebra

open access: yes, 2013
It is known that the centerless Zamolodchikov--$w_{\infty}$ $*$--Lie algebra of conformal field theory does not admit nontrivial central extensions, but the Witt $*$--Lie algebra, which is a sub--algebra of $w_{\infty}$, admits a nontrivial central ...
LUIGI ACCARDI   +5 more
core   +1 more source

Two classes of Lie conformal superalgebras related to the Heisenberg–Virasoro Lie conformal algebra

open access: yesJournal of Mathematical Physics
In this paper, we classify the Lie conformal superalgebras R=R0̄⊕R1̄, where R1̄ is of rank 1 and R0̄ is the Heisenberg–Virasoro Lie conformal algebra HV, which is a free C[∂]-module generated by L and H satisfying [LλL] = (∂ + 2λ)L, [LλH] = (∂ + λ)H, [HλH] = 0. Based on this, we construct two classes of Lie conformal superalgebras denoted by HVS(α) and
Jinrong Wang, Xiaoqing Yue
openaire   +3 more sources

Communications in Mathematical © Springer- Verlag 1988 Relating Kac-Moody, Virasoro and Krichever-Novikov Algebras

open access: yes, 2008
. We demonstrate that the Kac-Moody and Virasoro-like algebras on Riemann surfaces of arbitrary genus with two punctures introduced by Krichever and Novikov are in two ways linearly related to Kac-Moody and Virasoro algebras on S 1.
Pierre Van Baal   +2 more
core  

p-adic vertex operator algebras. [PDF]

open access: yesRes Number Theory, 2023
Franc C, Mason G.
europepmc   +1 more source

Sugawara and vertex operator constructions for deformed Virasoro algebras

open access: yes, 2006
23 pagesInternational audienceFrom the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras.
Arnaudon, D.   +4 more
core   +3 more sources

AN INFINITE CLASS OF NEW CONFORMAL FIELD-THEORIES WITH EXTENDED ALGEBRAS

open access: yes, 1988
A large class of 2D conformal field theories with extended Virasoro algebras related to the GKO construction on the coset SU(2)⊗SU(2)/SU(2) is introduced. Through a Feigin-Fuchs construction the Kac formula is deduced.
RAVANINI, F
core   +1 more source

ħ-vertex algebras and chiralization of star products [PDF]

open access: yes
We develop the theory of ħ-vertex algebras, algebraic structures closely related to vertex algebras but with a deformed translation covariance axiom.
Castellan, Simone
core   +1 more source

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