Results 21 to 30 of about 42,859 (179)
Conformal biderivations of loop W(a, b) Lie conformal algebra [PDF]
Frontiers of Mathematics, 2021 In this paper, we study conformal biderivations of a Lie conformal algebra. First, we give the definition of conformal biderivation. Next, we determine the conformal biderivations of loop $W(a,b)$ Lie conformal algebra, loop Virasoro Lie conformal algebra and Virasoro Lie conformal algebra.
Zhao, Jun, Chen, Liangyun, Yuan, Lamei
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Loop Schrödinger–Virasoro Lie conformal algebra [PDF]
International Journal of Mathematics, 2016 In this paper, we introduce two kinds of Lie conformal algebras, associated with the loop Schrödinger–Virasoro Lie algebra and the extended loop Schrödinger–Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank
Chen, Haibo +3 more
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Conformal Symmetries of the Strumia–Tetradis’ Metric
Physical Sciences Forum, 2023 In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos +1 more
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Loop Heisenberg-Virasoro Lie conformal algebra [PDF]
Journal of Mathematical Physics, 2014 Let HV be the loop Heisenberg-Virasoro Lie algebra over ℂ with basis {Lα,i, Hβ,j∣α, β, i, j ∈ ℤ} and brackets [Lα,i, Lβ,j] = (α − β) Lα+β,i+j, [Lα,i, Hβ,j] = − βHα+β,i+j, [Hα,i, Hβ,j] = 0. In this paper, a formal distribution Lie algebra of HV is constructed.
Guangzhe Fan, Yucai Su, Henan Wu
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Schrödinger-Virasoro Lie conformal algebra [PDF]
Journal of Mathematical Physics, 2013 We first construct two new nonsimple conformal algebras associated with the Schrödinger-Virasoro Lie algebra and the extended Schrödinger-Virasoro Lie algebra, respectively. Then we study conformal derivations and free nontrivial rank one conformal modules of these two conformal algebras.
Su, Yucai, Yuan, Lamei
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Integrable Floquet systems related to logarithmic conformal field theory
SciPost Physics, 2023 We study an integrable Floquet quantum system related to lattice statistical systems in the universality class of dense polymers. These systems are described by a particular non-unitary representation of the Temperley-Lieb algebra.
Vsevolod I. Yashin, Denis V. Kurlov, Aleksey K. Fedorov, Vladimir Gritsev
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Generalized cosmological constant from gauging Maxwell-conformal algebra
Physics Letters B, 2020 The Maxwell extension of the conformal algebra is presented. With the help of gauging the Maxwell-conformal group, a conformally invariant theory of gravity is constructed.
Salih Kibaroğlu, Oktay Cebecioğlu
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Carrollian and Galilean conformal higher-spin algebras in any dimensions
Journal of High Energy Physics, 2022 We present higher-spin algebras containing a Poincaré subalgebra and with the same set of generators as the Lie algebras that are relevant to Vasiliev’s equations in any space-time dimension D ≥ 3. Given these properties, they can be considered either as
Andrea Campoleoni, Simon Pekar
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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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