Results 121 to 130 of about 290,466 (205)

Finite irreducible modules of Lie conformal algebras $\mathcal{W}(a,b)$ and some Schrödinger-Virasoro type Lie conformal algebras [PDF]

open access: yesarXiv, 2019
Lie conformal algebras $\mathcal{W}(a,b)$ are the semi-direct sums of Virasoro Lie conformal algebra and its nontrivial conformal modules of rank one. In this paper, we first give a complete classification of all finite nontrivial irreducible conformal modules of $\mathcal{W}(a,b)$. It is shown that all such modules are of rank one.
arxiv  

The Carrollian limit of ModMax electrodynamics

open access: yesJournal of High Energy Physics
We consider the Carrollian limit of ModMax electrodynamics, namely the limit of vanishing speed of light, for the most general, four-dimensional, duality and conformal invariant electromagnetism.
Francisco Correa   +2 more
doaj   +1 more source

Quantization of the AdS3 superparticle on OSP(1|2)2/SL(2,R)

open access: yesNuclear Physics B, 2017
We analyze AdS3 superparticle dynamics on the coset OSP(1|2)×OSP(1|2)/SL(2,R). The system is quantized in canonical coordinates obtained by gauge invariant Hamiltonian reduction.
Martin Heinze, George Jorjadze
doaj   +1 more source

On conformal pseudo-subriemannian fundamental graded Lie algebras associated with pseudo $H$-type Lie algebras [PDF]

open access: yesarXiv, 2019
A pseudo $H$-type Lie algebra naturally gives rise to a conformal pseudo-subriemannian fundamental graded Lie algebras. In this paper we investigate the prolongations of the associated fundamental graded Lie algebra and the associated conformal pseudo-subriemannian fundamental graded Lie algebra.
arxiv  

On different approaches to IRF lattice models. Part II

open access: yesJournal of High Energy Physics
This paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories.
Vladimir Belavin   +3 more
doaj   +1 more source

Holography as homotopy

open access: yesJournal of High Energy Physics
We give an interpretation of holography in the form of the AdS/CFT correspondence in terms of homotopy algebras. A field theory such as a bulk gravity theory can be viewed as a homotopy Lie or L ∞ algebra. We extend this dictionary to theories defined on
Christoph Chiaffrino   +2 more
doaj   +1 more source

p-adic vertex operator algebras. [PDF]

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

On free conformal and vertex algebras [PDF]

open access: yesarXiv, 1998
Any variety of classical algebras has a so-called conformal counterpart. For example one can consider Lie conformal or associative conformal algebras. Lie conformal algebras are closely related to vertex algebras. We define free objects in the categories of conformal and vertex algebras. In some cases we can explicitly build their Groebner bases.
arxiv  

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