Results 41 to 50 of about 162 (153)

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  

Berry phases on Virasoro orbits

Journal of High Energy Physics, 2017
We point out that unitary representations of the Virasoro algebra contain Berry phases obtained by acting on a primary state with conformal transformations that trace a closed path on a Virasoro coadjoint orbit.
Blagoje Oblak
doaj   +1 more source

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
openaire   +3 more sources

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
openaire   +5 more sources

A Trace Formula for the Quantization of Coadjoint Orbits [PDF]

International Mathematics Research Notices, 2015
The main goal of this paper is to compute the characteristic class of the Alekseev-Lachowska *-product on coadjoint orbits. We deduce an analogue of the Weyl dimension formula in the context of deformation quantization.
Calaque, Damien, Näf, Florian
openaire   +2 more sources

Quantization of the AdS3 superparticle on OSP(1|2)2/SL(2,R)

Nuclear Physics B, 2017
We analyze AdS3 superparticle dynamics on the coset OSP(1|2)×OSP(1|2)/SL(2,R). The system is quantized in canonical coordinates obtained by gauge invariant Hamiltonian reduction.
Martin Heinze, George Jorjadze
doaj   +1 more source

On the Coadjoint Orbits of the Unitriangular Group

Journal of Algebra, 1996
This paper is a continuation of another work of the author [J. Algebra 176, No. 3, 959-1000 (1995; Zbl 0837.20050)]. Let \(U_n(K)\) be the group of all \(n\times n\) unipotent upper triangular matrices with coefficients in an algebraically closed field \(K\). Let \(u_n(K)\) denote the Lie algebra of all \(n\times n\) nilpotent upper triangular matrices
openaire   +1 more source

LIOUVILLE THEORY AND SPECIAL COADJOINT VIRASORO ORBITS [PDF]

International Journal of Modern Physics A, 1995
We describe the Hamiltonian reduction of the coadjoint Kac–Moody orbits to the Virasoro coadjoint orbits explicitly in terms of the Lagrangian approach for the Wess–Zumino–Novikov–Witten theory. While a relation of the coadjoint Virasoro orbit Diff S1/ SL (2, R) to the Liouville theory has already been studied, we analyze the role of special coadjoint
Gorsky, A., Johansen, A.
openaire   +3 more sources

Meson spectrum of SU(2) QCD 1+1 with quarks in Large representations

Journal of High Energy Physics, 2023
We consider SU(2) quantum chromodynamics in 1 + 1 dimensions with a single quark in the spin J representation of the gauge group and study the theory in the large J limit where the gauge coupling g 2 → 0 and J → ∞ with λ = g 2 J 2 fixed.
Anurag Kaushal, Naveen S. Prabhakar, Spenta R. Wadia   +2 more
doaj   +1 more source

Probabilistic correlation functions of the Schwarzian field theory

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley   +1 more source