Results 91 to 100 of about 43,068 (192)

Finite irreducible modules of Lie conformal algebras 𝒲(a,b) and some Schrödinger–Virasoro type Lie conformal algebras

International Journal of Mathematics, 2019
Lie conformal algebras [Formula: see text] 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 [Formula: see text]. It is shown that all such modules are of rank one. Moreover, with a
Lipeng Luo, Yanyong Hong, Zhixiang Wu
openaire   +3 more sources

(2 + 1)-dimensional interacting model of two massless spin-2 fields as a bi-gravity model

Physics Letters B, 2018
We propose a new group-theoretical (Chern–Simons) formulation for the bi-metric theory of gravity in (2+1)-dimensional spacetime which describe two interacting massless spin-2 fields.
S. Hoseinzadeh, A. Rezaei-Aghdam
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

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

Two classes of Lie conformal superalgebras related to the Heisenberg–Virasoro Lie conformal algebra

Journal of Mathematical Physics
In this paper, we classify the Lie conformal superalgebras R=R0̄⊕R1̄, where R1̄ is of rank 1 and R0̄ is the Heisenberg–Virasoro Lie conformal algebra HV, which is a free C[∂]-module generated by L and H satisfying [LλL] = (∂ + 2λ)L, [LλH] = (∂ + λ)H, [HλH] = 0. Based on this, we construct two classes of Lie conformal superalgebras denoted by HVS(α) and
Jinrong Wang, Xiaoqing Yue
openaire   +3 more sources

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

Conformal field theories with ZN and Lie algebra symmetries

Physics Letters B, 2004
We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified according to their transformation properties under the dihedral group (Z_N x Z_2, where Z_2 stands for the Z_N charge conjugation), as singlets, [(N-1)/2 ...
Dotsenko, V.S., Jacobsen, J.L., Santachiara, R.   +2 more
openaire   +6 more sources

Fermionic CFTs from topological boundaries in abelian Chern-Simons theories

Journal of High Energy Physics
A quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it.
Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda, Shinichiro Yahagi   +3 more
doaj   +1 more source

Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra

Axioms
In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary.
Yu Yang, Xingtao Wang
doaj   +1 more source

Conformal (σ, τ)-derivations on lie conformal algebras

Filomat
In this paper, we focus on the conformal (?, ?)-derivation theory of Lie conformal algebras. Firstly, we study the fundamental properties of conformal (?, ?)-derivations. Secondly, we mainly research the interiors of conformal G-derivations. Finally, we discuss the relationships between the conformal (?, ?)-derivations and some generalized ...
Tianqi Feng, Jun Zhao, Liangyun Chen
openaire   +1 more source