Results 111 to 120 of about 290,466 (205)

Gerstenhaber algebra of an associative conformal algebra

, 2022
We define a cup product on the Hochschild cohomology of an associative conformal algebra $A$, and show the cup product is graded commutative. We define a graded Lie bracket with the degree $-1$ on the Hochschild cohomology $\HH^{\ast}(A)$ of an ...
Hou, Bo, Shen, Zhongxi, Zhao, Jun
core  

Statistical Lie algebras of a constant curvature and locally conformally Kähler Lie algebras

, 2021
We show that a statistical manifold manifold of a constant non-zero curvature can be realised as a level line of Hessian potential on a Hessian cone. We construct a Sasakian structure on $TM\times\R$ by a statistical manifold manifold of a constant non-zero curvature on $M$. By a statistical Lie algebra of a constant non-zero Lie algebra we construct a
openaire   +2 more sources

Cosmology as a CFT1

Journal of High Energy Physics, 2019
We show that the simplest FLRW cosmological system consisting in the homo- geneous and isotropic massless Einstein-Scalar system enjoys a hidden conformal symmetry under the 1D conformal group SL(2, ℝ) acting as Mobius transformations in proper time ...
Jibril Ben Achour, Etera R. Livine
doaj   +1 more source

Emergence of spacetime from the algebra of total modular Hamiltonians

Journal of High Energy Physics, 2019
We study the action of the CFT total modular Hamiltonian on the CFT representation of bulk fields with spin. In the vacuum of the CFT the total modular Hamiltonian acts as a bulk Lie derivative, reducing on the RT surface to a boost perpendicular to the ...
Daniel Kabat, Gilad Lifschytz
doaj   +1 more source

The non-Abelian tensor multiplet

Journal of High Energy Physics, 2018
We assume the existence of a background vector field that enables us to make an ansatz for the superconformal transformations for the non-Abelian 6d (1, 0) tensor multiplet.
Andreas Gustavsson
doaj   +1 more source

On quantum Poisson-Lie T-duality of WZNW models

Journal of High Energy Physics
We study Poisson-Lie T-duality of the Wess-Zumino-Novikov-Witten (WZNW) models which are obtained from a class of Drinfel’d doubles and its generalization.
Yuho Sakatani, Yuji Satoh
doaj   +1 more source

(Almost) Ricci Solitons in Lorentzian–Sasakian Hom-Lie Groups

Axioms
We study Lorentzian contact and Lorentzian–Sasakian structures in Hom-Lie algebras. We find that the three-dimensional sl(2,R) and Heisenberg Lie algebras provide examples of such structures, respectively.
Esmaeil Peyghan, Leila Nourmohammadifar, Akram Ali, Ion Mihai   +3 more
doaj   +1 more source

On a class of infinite simple Lie conformal algebras [PDF]

arXiv, 2019
In this paper, we study a class of infinite simple Lie conformal algebras associated to a class of generalized Block type Lie algebras. The central extensions, conformal derivations and free intermediate series modules of this class of Lie conformal algebras are determined.
arxiv  

Poincare gauge gravity from nonmetric gravity

Nuclear Physics B
We consider general linear gauge theory, with independent solder form and connection. These spaces have both torsion and nonmetricity. We show that the Cartan structure equations together with the defining equation for nonmetricity allow the mixed ...
James T. Wheeler
doaj  

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

arXiv, 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 give a complete classification of extensions of finite irreducible conformal modules of $\mathcal{W}(a,b)$.
arxiv