Results 41 to 50 of about 178 (165)
Schwarzian quantum mechanics as a Drinfeld-Sokolov reduction of BF theory
Journal of High Energy Physics, 2020 We give an interpretation of the holographic correspondence between two-dimensional BF theory on the punctured disk with gauge group PSL(2, ℝ) and Schwarzian quantum mechanics in terms of a Drinfeld-Sokolov reduction.
Fridrich Valach, Donald R. Youmans
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Karpatsʹkì Matematičnì Publìkacìï, 2020 There are studied Lie-algebraic structures of a wide class of heavenly type non-linear integrable equations, related with coadjoint flows on the adjoint space to a loop vector field Lie algebra on the torus.
O.Ye. Hentosh +2 more
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Open Mathematics, 2018 We prove new theorems related to the construction of the shallow water bi-Hamiltonian systems associated to the semi-direct product of Virasoro and affine Kac–Moody Lie algebras.
Zuevsky A.
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THE EXPLICIT FORMULAS OF PARAMETRIZATION OF COADJOINT ORBITS OF THE HEISENBERG LIE GROUP
BarekengThis research focuses on the Heisenberg Lie group. The aim is to determine the coadjoint orbits and their parametrizations. The method used in this research involves constructing the parametrization of coadjoint orbit for Heisenberg Lie group ...
Muhammad Zaky Zachary +2 more
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Kinematic space and the orbit method
Journal of High Energy Physics, 2019 Kinematic space has been defined as the space of codimension-2 spacelike extremal surfaces in anti de Sitter (AdS d+1) spacetime which, by the Ryu-Takayanagi proposal, compute the entanglement entropy of spheres in the boundary CFT d .
Robert F. Penna, Claire Zukowski
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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
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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
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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.
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Quantization of BMS3 orbits: A perturbative approach
Nuclear Physics B, 2016 We compute characters of the BMS group in three dimensions. The approach is the same as that performed by Witten in the case of coadjoint orbits of the Virasoro group in the eighties, within the large central charge approximation.
Alan Garbarz, Mauricio Leston
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Decorated Nonlinear Flags, Pointed Vortex Loops and the Dihedral Group
Annals of the West University of Timisoara: Mathematics and Computer ScienceWe identify pointed vortex loops in the plane with low dimensional nonlinear flags decorated with volume forms. We show how submanifolds of such decorated nonlinear flags can be identified with coadjoint orbits of the area pre- serving diffeomorphism ...
Ciuclea Ioana
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