Results 31 to 40 of about 178 (165)
Towards Bosonization of Virasoro Coadjoint Orbits
Annales Henri Poincaré, 2023 AbstractWe show that Schwarzian theories associated with certain hyperbolic and parabolic Virasoro coadjoint orbits admit bosonization, i.e., a global $$S^1$$ S 1 -equivariant Darboux chart in which the corresponding path integral becomes Gaussian.
Anton Alekseev +2 more
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Existence of Richardson elements for seaweed Lie algebras of finite type
Journal of the London Mathematical Society, Volume 101, Issue 2, Page 505-529, April 2020., 2020 Abstract Seaweed Lie algebras are a natural generalisation of parabolic subalgebras of reductive Lie algebras. A well‐known theorem of Richardson says that the adjoint action of a parabolic group has a dense open orbit in the nilpotent radical of its Lie algebra (Richardson, Bull. Lond. Math. Soc. 6 (1974) 21–24.). Elements in the open orbit are called
Bernt Tore Jensen, Xiuping Su
wiley +1 more source
Nonlinear bosonization of Fermi surfaces: The method of coadjoint orbits
Physical Review Research, 2022 We develop a method for bosonizing the Fermi surface based on the formalism of the coadjoint orbits. This allows one to parametrize the Fermi surface by a bosonic field that depends on the spacetime coordinates and on the position on the Fermi surface ...
Luca V. Delacrétaz +3 more
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Universal corner symmetry and the orbit method for gravity
Nuclear Physics B, 2023 A universal symmetry algebra organizing the gravitational phase space has been recently found. It corresponds to the subset of diffeomorphisms that become physical at corners – codimension-2 surfaces supporting Noether charges.
Luca Ciambelli, Robert G. Leigh
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The orbit method for Poisson orders
Proceedings of the London Mathematical Society, Volume 120, Issue 1, Page 65-94, January 2020., 2020 Abstract A version of Kirillov's orbit method states that the primitive spectrum of a generic quantisation A of a Poisson algebra Z should correspond bijectively to the symplectic leaves of Spec(Z). In this article, we consider a Poisson order A over a complex affine Poisson algebra Z.
Stéphane Launois, Lewis Topley
wiley +1 more source
Réalisation du flot géodesique sur le groupe SO(n) comme flot sur des orbites de Kotant-Kirillov/Realization of geodesic flow on the group SO(n) as a flow on Kostant-Kirillov orbits [PDF]
Surveys in Mathematics and its Applications, 2019 The aim of this paper is to realize the geodesic flow on the group SO(n) as a flow on the Kostant-Kirillov orbits. We study the adjoint and coadjoint orbits of a Lie group with an application in the case of the orthogonal special group SO(n). We will see
Ahmed Lesfari
doaj
Complexity from spinning primaries
Journal of High Energy Physics, 2021 We define circuits given by unitary representations of Lorentzian conformal field theory in 3 and 4 dimensions. Our circuits start from a spinning primary state, allowing us to generalize formulas for the circuit complexity obtained from circuits ...
Robert de Mello Koch +2 more
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Irreducible Characters and Semisimple Coadjoint Orbits
Journal of Lie Theory, 2020 When $G_{\mathbb{R}}$ is a real, linear algebraic group, the orbit method predicts that nearly all of the unitary dual of $G_{\mathbb{R}}$ consists of representations naturally associated to orbital parameters $(\mathcal{O},Γ)$. If $G_{\mathbb{R}}$ is a real, reductive group and $\mathcal{O}$ is a semisimple coadjoint orbit, the corresponding unitary ...
Harris, Benjamin, Oshima, Yoshiki
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Strict quantization of coadjoint orbits [PDF]
Journal of Noncommutative Geometry, 2021 For every semisimple coadjoint orbit \hat{\mathcal{O}} of a complex connected semisimple Lie group \hat{G} , we obtain a family of
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Defects in Jackiw-Teitelboim quantum gravity
Journal of High Energy Physics, 2019 We classify and study defects in 2d Jackiw-Teitelboim gravity. We show these are holographically described by a deformation of the Schwarzian theory where the reparametrization mode is integrated over different coadjoint orbits of the Virasoro group.
Thomas G. Mertens, Gustavo J. Turiaci
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