Zobrazeno 1 - 10
of 23 737
pro vyhledávání: '"A A Shapovalov"'
In this work, we introduce an explicit expression for the inverse of the symmetric bilinear form of Virasoro Verma modules, the so-called Shapovalov form, in terms of singular vector operators and their conformal dimensions. Our proposed expression a
Externí odkaz:
http://arxiv.org/abs/2409.12224
Autor:
Katanaev, M. O.
Publikováno v:
Phys. Scr. 99 (2024) 067001
This is a detailed answer to the criticism of my paper.
Comment: 2 pages; reply to arXiv:2311.14330
Comment: 2 pages; reply to arXiv:2311.14330
Externí odkaz:
http://arxiv.org/abs/2405.03737
Autor:
Fu, Chih-Hao, Wang, Yihong
Publikováno v:
Lie Theory and Its Applications in Physics. LT 2021, Springer Proceedings in Mathematics & Statistics, vol. 396, Springer-Nature, 2023, pp.287-296
These notes are an extended version of the talks given by the authors at the XIV International Workshop on Lie Theory and Its Applications in Physics, Sofia, Bulgaria, 20-26 June 2021. The concise version published in the proceedings of the workshop
Externí odkaz:
http://arxiv.org/abs/2310.19724
Autor:
Mudrov, Andrey, Stukopin, Vladimir
Let $\mathcal{A}$ be an associative algebra containing the classical or quantum universal enveloping algebra $U$ of a semi-simple complex Lie algebra. Let $\mathcal{J}\subset \mathcal{A}$ designate the left ideal generated by positive root vectors in
Externí odkaz:
http://arxiv.org/abs/2309.05318
Publikováno v:
Universe, 2023, Volume 9, Issue 8, 356
Exact models of primordial gravitational waves in the Bianchi type III universe are constructed on the basis of the quadratic theory of gravity with a scalar field and pure radiation in Shapovalov wave spacetimes of type II (subtype 2). Exact solutio
Externí odkaz:
http://arxiv.org/abs/2306.10605
Publikováno v:
Universe, 2022, Volume 8, Issue 12, 664
For the quadratic theory of gravity with a scalar field, exact solutions are found for gravitational-wave models in Shapovalov~I~type spacetimes, which do not arise in models of the general theory of relativity. The theory of gravity under considerat
Externí odkaz:
http://arxiv.org/abs/2211.11019
Publikováno v:
Symmetry, 2022, 14(12), 2636
Exact solutions for Shapovalov wave spacetimes of type I in the scalar-tensor theory of gravity of Brans-Dicke are constructed. Shapovalov's wave spacetimes describe gravitational-wave models that allow the separation of wave variables in privileged
Externí odkaz:
http://arxiv.org/abs/2210.17379
Publikováno v:
Symmetry, 2023, 15(7), 1455
For gravitational-wave spacetimes of Shapovalov type III, exact general solutions of geodesic deviation equations and equations of motion of test particles are obtained. Solutions are found in a privileged coordinate system, where the metric of the c
Externí odkaz:
http://arxiv.org/abs/2210.04063
Autor:
Osetrin, Konstantin1,2,3 (AUTHOR) evgeny.osetrin@tspu.edu.ru, Osetrin, Evgeny1,3 (AUTHOR) elena.osetrina@tspu.edu.ru, Osetrina, Elena1 (AUTHOR)
Publikováno v:
Symmetry (20738994). Jul2023, Vol. 15 Issue 7, p1455. 24p.
Autor:
Mudrov, Andrey
Shapovalov elements $\theta_{\beta,m}$ are special elements in a Borel subalgebra of a classical or quantum universal enveloping algebra parameterized by a positive root $\beta$ and a positive integer $m$. They relate the canonical generator of a red
Externí odkaz:
http://arxiv.org/abs/2202.06220