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pro vyhledávání: '"Marrani A"'
We construct explicitly a Kac-Moody algebra associated to SL$(2, \mathbb R)$ in two different but equivalent ways: either by identifying a Hilbert basis of $L^2($SL$(2, \mathbb R))$ or by the Plancherel Theorem. Central extensions and Hermitean diffe
Externí odkaz:
http://arxiv.org/abs/2409.15837
Publikováno v:
J. Math. Phys. 65 (2024) 081702
We construct a generalised notion of Kac-Moody algebras using smooth maps from the non-compact manifolds ${\cal M}=$SL$(2,\mathbb R)$ and ${\cal M}=$ SL$(2,\mathbb R)/U(1)$ to a finite-dimensional simple Lie group $G$. This construction is achieved t
Externí odkaz:
http://arxiv.org/abs/2406.09845
Rotational Freudenthal duality (RFD) relates two extremal Kerr-Newman (KN) black holes (BHs) with different angular momenta and electric-magnetic charges, but with the same Bekenstein-Hawking entropy. Through the Kerr/CFT correspondence (and its KN e
Externí odkaz:
http://arxiv.org/abs/2406.09259
Autor:
Marrani, Alessio
Publikováno v:
SciPost Phys. Proc. 14, 009 (2023)
Within the extremal black hole attractors arising in ungauged $\mathcal{N}\geqslant 2$-extended Maxwell Einstein supergravity theories in $3+1$ space-time dimensions, we provide an overview of the stratification of the electric-magnetic charge repres
Externí odkaz:
http://arxiv.org/abs/2312.12390
Autor:
Marrani, Alessio
Publikováno v:
SciPost Phys. Proc. 14, 035 (2023)
We introduce the so-called Magic Star (MS) projection within the root lattice of finite-dimensional exceptional Lie algebras, and relate it to rank-3 simple and semi-simple Jordan algebras. By relying on the Bott periodicity of reality and conjugacy
Externí odkaz:
http://arxiv.org/abs/2312.12371
Freudenthal duality (FD) is a non-linear symmetry of the Bekenstein-Hawking entropy of extremal dyonic black holes (BHs) in Maxwell-Einstein-scalar theories in four space-time dimensions realized as an anti-involutive map in the symplectic space of e
Externí odkaz:
http://arxiv.org/abs/2312.10767
Publikováno v:
Reviews in Mathematical Physics 3 (2024) 2450027
We present a Veronese formulation of the octonionic and split-octonionic projective and hyperbolic planes. This formulation of the incidence planes highlights the relationship between the Veronese vectors and the rank-1 elements of the Albert algebra
Externí odkaz:
http://arxiv.org/abs/2311.11907
This paper discusses the potential application of the Okubonions, i.e. the Okubo algebra $\mathcal{O}$, within quantum chromodynamics (QCD). The Okubo algebra lacks a unit element and sits in the adjoint representation of its automorphism group $\tex
Externí odkaz:
http://arxiv.org/abs/2309.17435
Publikováno v:
Proc.R.Soc.A 478: 20220166 (2022)
This special feature, dedicated to Michael J. Duff FRS on the occasion of his 70th birthday, concerns topics in 'Quantum gravity, branes and M-theory'. These three intertwining subjects have been central to Duff's work; indeed many of his contributio
Externí odkaz:
http://arxiv.org/abs/2309.05565
The compact 16-dimensional Moufang plane, also known as the Cayley plane, has traditionally been defined through the lens of octonionic geometry. In this study, we present a novel approach, demonstrating that the Cayley plane can be defined in an equ
Externí odkaz:
http://arxiv.org/abs/2309.00967