Results 101 to 110 of about 290,466 (205)

Cohomology of Conformal Algebras

, 1998
Conformal algebra is an axiomatic description of the operator product expansion of chiral fields in conformal field theory. On the other hand, it is an adequate tool for the study of infinite-dimensional Lie algebras satisfying the locality property. The
Bakalov, Bojko, Kac, Victor G., Voronov, Alexander A.   +2 more
core   +1 more source

More on pure gravity with a negative cosmological constant

Journal of High Energy Physics, 2023
We identify an ambiguity in the Chern-Simons formulation of three-dimensional gravity with negative cosmological constant that originates in an outer automorphism of the Lie algebra sl $$ \mathfrak{sl} $$ (2, ℝ).
Lior Benizri, Jan Troost
doaj   +1 more source

On Associative Conformal Algebras of Linear Growth [PDF]

arXiv, 2000
Lie conformal algebras appear in the theory of vertex algebras. Their relation is similar to that of Lie algebras and their universal enveloping algebras. Associative conformal algebras play a role in conformal representation theory. We introduce the notions of conformal identity and unital associative conformal algebras and classify finitely generated
arxiv  

On irregular singularity wave functions and superconformal indices

Journal of High Energy Physics, 2017
We generalize, in a manifestly Weyl-invariant way, our previous expressions for irregular singularity wave functions in two-dimensional SU(2) q-deformed Yang-Mills theory to SU(N).
Matthew Buican, Takahiro Nishinaka
doaj   +1 more source

Non-abelian infrared divergences on the celestial sphere

Journal of High Energy Physics, 2021
We consider the infrared factorisation of non-abelian multi-particle scattering amplitudes, and we study the form of the universal colour operator responsible for infrared divergences, when expressed in terms of coordinates on the ‘celestial sphere ...
Lorenzo Magnea
doaj   +1 more source

Nonreductive WZW models and their CFTs

, 1995
We study two-dimensional WZW models with target space a nonreductive Lie group. Such models exist whenever the Lie group possesses a bi-invariant metric.
Antoniadis, Drinfel'd, Figueroa-O'Farfill, Figueroa-O'Farrill, Figueroa-O'Farrill, Gawedzki, Gawedzki, Gurarie, Horowitz, Hull, Hull, Isidro, Jack, Jose M. Figueroa-O'Farrill, Karabali, Karabali, Kazama, Kehagias, Klimčík, Koszul, Lian, Lian, Medina, Mohammedi, Mohammedi, Polyakov, Polyakov, Sfetsos, Sfetsos, Sfetsos, Sonia Stanciu, Spiegelglas, Tseytlin, Wess, Witten, Witten, Witten   +36 more
core   +1 more source

Gause Symmetry and Howe Duality in 4D Conformal Field Theory Models

Acta Polytechnica, 2010
It is known that there are no local scalar Lie fields in more than two dimensions. Bilocal fields, however, which naturally arise in conformal operator product expansions, do generate infinite Lie algebras.
I. Todorov
doaj  

Unconventional conformal invariance of maximal depth partially massless fields on dS 4 and its relation to complex partially massless SUSY

Journal of High Energy Physics
Deser and Waldron have shown that maximal depth partially massless theories of higher (integer) spin on four-dimensional de Sitter spacetime (dS 4) possess infinitesimal symmetries generated by the conformal Killing vectors of dS 4. However, it was later
Vasileios A. Letsios
doaj   +1 more source

On the Locality of Formal Distributions Over Right-Symmetric and Novikov Algebras

Известия Иркутского государственного университета: Серия "Математика"
The Dong Lemma in the theory of vertex algebras states that the locality property of formal distributions over a Lie algebra is preserved under the action of a vertex operator. A similar statement is known for associative algebras.
L. A. Bokut, P. S. Kolesnikov
doaj   +1 more source

N =4 ℓ-conformal Galilei superalgebras inspired by D(2, 1; α) supermultiplets

Journal of High Energy Physics, 2017
N = 4 supersymmetric extensions of the ℓ-conformal Galilei algebra are constructed by properly extending the Lie superalgebra associated with the most general N = 4 superconformal group in one dimension D(2,1;α).
Anton Galajinsky, Sergey Krivonos
doaj   +1 more source