Results 11 to 20 of about 162 (153)
Spinning particles, coadjoint orbits and Hamiltonian formalism
Nuclear Physics B, 2022 The extensive analysis of the dynamics of relativistic spinning particles is presented. Using the coadjoint orbits method the Hamiltonian dynamics is explicitly described.
Krzysztof Andrzejewski +4 more
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Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form
Revista Integración, 2023 We use the underlying structure of then coadjoint orbits of a semidirect product of a connected Lie group and a vector space to obtain families of Lagrangian submanifolds in the adjoint orbits of complex semisimple Lie groups with respect to the ...
Jhoan Báez, Luiz A.B. San Martin
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Non-linear Grassmannians as coadjoint orbits [PDF]
Mathematische Annalen, 2004 For a given manifold $M$ we consider the non-linear Grassmann manifold $Gr_n(M)$ of $n$-dimensional submanifolds in $M$. A closed $(n+2)$-form on $M$ gives rise to a closed 2-form on $Gr_n(M)$. If the original form was integral, the 2-form will be the curvature of a principal $S^1$-bundle over $Gr_n(M)$.
Haller, Stefan, Vizman, Cornelia
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Holstein–Primakoff Realizations on Coadjoint Orbits [PDF]
Modern Physics Letters A, 1997 We derive the Holstein–Primakoff oscillator realization on the coadjoint orbits of the SU (N+1) and SU (1,N) group by treating the coadjoint orbits as a constrained system and performing the symplectic reduction. By using the action-angle variables transformations, we transform the original variables into Darboux variables.
Oh, Phillial, Rim, Chaiho
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Quantum field theoretic representation of Wilson surfaces. Part I. Higher coadjoint orbit theory
Journal of High Energy Physics, 2022 This is the first of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher version of the Kirillov-Kostant-Souriau theory of coadjoint orbits is presented based on the derived ...
Roberto Zucchini
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Arithmetic and metric aspects of open de Rham spaces
Proceedings of the London Mathematical Society, Volume 127, Issue 4, Page 958-1027, October 2023., 2023 Abstract In this paper, we determine the motivic class — in particular, the weight polynomial and conjecturally the Poincaré polynomial — of the open de Rham space, defined and studied by Boalch, of certain moduli spaces of irregular meromorphic connections on the trivial rank n$n$ bundle on P1$\mathbb {P}^1$.
Tamás Hausel +2 more
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SciPost Physics Lecture Notes, 2023 We review both the kinematics and dynamics of non-lorentzian theories and their associated geometries. First, we introduce non-lorentzian kinematical spacetimes and their symmetry algebras.
Eric Bergshoeff, José Figueroa-O'Farrill, Joaquim Gomis
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A Teichmüller space for negatively curved surfaces
Proceedings of the London Mathematical Society, Volume 126, Issue 3, Page 900-922, March 2023., 2023 Abstract We first describe the action of the fundamental group of a closed surface Σ$\Sigma$ of variable negative curvature on the oriented geodesics in its universal covering in terms of a naturally defined flat connection whose holonomy lies in the group of Hamiltonian diffeomorphisms of S1×R$S^1\times \mathbf {R}$.
Nigel Hitchin
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Fortschritte der Physik, Volume 69, Issue 11-12, December 2021., 2021 Abstract We consider supersymmetry in five dimensions, where the fermionic parameters are a 2‐form under . Supermultiplets are investigated using the pure spinor superfield formalism, and are found to be closely related to infinite‐dimensional extensions of the supersymmetry algebra: the Borcherds superalgebra , the tensor hierarchy algebra and the ...
Martin Cederwall
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Optimal Symplectic Connections on Holomorphic Submersions
Communications on Pure and Applied Mathematics, Volume 74, Issue 10, Page 2132-2184, October 2021., 2021 The main result of this paper gives a new construction of extremal Kähler metrics on the total space of certain holomorphic submersions, giving a vast generalisation and unification of results of Hong, Fine and others. The principal new ingredient is a novel geometric partial differential equation on such fibrations, which we call the optimal ...
Ruadhaí Dervan, Lars Martin Sektnan
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