Results 51 to 60 of about 357,547 (242)
The geometry of Casimir W-algebras
SciPost Physics, 2018 Let $\mathfrak{g}$ be a simply laced Lie algebra, $\widehat{\mathfrak{g}}_1$ the corresponding affine Lie algebra at level one, and $\mathcal{W}(\mathfrak{g})$ the corresponding Casimir W-algebra.
Raphaël Belliard, Bertrand Eynard, Sylvain Ribault
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Journal of High Energy Physics, 2020 It was recently shown that the homogeneous and isotropic cosmology of a massless scalar field coupled to general relativity exhibits a new hidden conformal invariance under Mobius transformation of the proper time, additionally to the invariance under ...
Jibril Ben Achour, Etera R. Livine
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Calculus structure on the Lie conformal algebra complex and the variational complex [PDF]
, 2010 We construct a calculus structure on the Lie conformal algebra cochain complex. By restricting to degree one chains, we recover the structure of a g-complex introduced in [A. De Sole and V. G.
A. Sole, Pedram Hekmati, V. Kac
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On Schrödinger-Virasoro type Lie conformal algebras [PDF]
Communications in Algebra, 2016 In this paper, two new classes of Schr dinger-Virasoro type Lie conformal algebras TSV(a,b) and TSV(c) which are non-simple are introduced for some a, b, c\in \mathbb{C}. Moreover, central extensions, conformal derivations and free conformal modules of rank 1 of TSV(a,b) and TSV(c) are determined.
Yanyong Hong
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Journal of High Energy Physics, 2023 I investigate the higher-derivative conformal theory which shows how the Nambu-Goto and Polyakov strings can be told apart. Its energy-momentum tensor is conserved, traceless but does not belong to the conformal family of the unit operator.
Yuri Makeenko
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Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra [PDF]
, 2016 In this paper, we classify all finite irreducible conformal modules over a class of Lie conformal algebras $\mathcal{W}(b)$ with $b\in\mathbb{C}$ related to the Virasoro conformal algebra.
Henan Wu, Lamei Yuan
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Galilean contractions of W-algebras
Nuclear Physics B, 2017 Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as W-algebras.
Jørgen Rasmussen, Christopher Raymond
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On a class of conformal E $$ \mathcal{E} $$ -models and their chiral Poisson algebras
Journal of High Energy Physics, 2023 In this paper, we study conformal points among the class of E $$ \mathcal{E} $$ -models. The latter are σ-models formulated in terms of a current Poisson algebra, whose Lie-theoretic definition allows for a purely algebraic description of their dynamics ...
Sylvain Lacroix
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IEEE Access, 2023 The processing of color images is of great interest, because the human perception of color is a very complex process, still not well understood. In this article, firstly the authors present an analysis of the well-known mathematical methods used to model
Eduardo Bayro-Corrochano +2 more
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Universal enveloping Poisson conformal algebras [PDF]
International Journal of Algebra and Computation, Vol. 30, No. 05,
pp. 1015-1034 (2020), 2019 Lie conformal algebras are useful tools for studying vertex operator algebras and their representations. In this paper, we establish close relations between Poisson conformal algebras and representations of Lie conformal algebras. We also calculate explicitly Poisson conformal brackets on the associated graded conformal algebras of universal ...
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