Results 61 to 70 of about 178 (165)
The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements
Journal of High Energy Physics, 2019 The Maxwell group in 2+1 dimensions is given by a particular extension of a semi-direct product. This mathematical structure provides a sound framework to study different generalizations of the Maxwell symmetry in three space-time dimensions. By giving a
Patricio Salgado-Rebolledo
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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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Journal of High Energy PhysicsWe derive manifestly covariant actions of spinning particles starting from coadjoint orbits of isometry groups, by using Hamiltonian reductions. We show that the defining conditions of a classical Lie group can be treated as Hamiltonian constraints which
Thomas Basile, Euihun Joung, TaeHwan Oh
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Carroll/fracton particles and their correspondence
Journal of High Energy Physics, 2023 We exploit the close relationship between the Carroll and fracton/dipole algebras, together with the method of coadjoint orbits, to define and classify classical Carroll and fracton particles.
José Figueroa-O’Farrill +2 more
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Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods
Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.ABSTRACT We construct stochastic multisymplectic systems by considering a stochastic extension to the variational formulation of multisymplectic partial differential equations proposed in Hydon [Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461 (2005): 1627–1637].
Ruiao Hu, Linyu Peng
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On sums of admissible coadjoint orbits [PDF]
Proceedings of the American Mathematical Society, 2013 10 pages, 2 ...
Eshmatov, Alimjon, Foth, Philip
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Virasoro entanglement Berry phases
Journal of High Energy Physics, 2022 We study the parallel transport of modular Hamiltonians encoding entanglement properties of a state. In the case of 2d CFT, we consider a change of state through action with a suitable diffeomorphism on the circle: one that diagonalizes the adjoint ...
Jan de Boer +5 more
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Functorial constructions related to double Poisson vertex algebras
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec +2 more
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Planons and their Carroll-Galilei symmetries
Journal of High Energy PhysicsWe study the dynamics of planons, particles whose mobility is restricted to a plane, through the classification of coadjoint orbits and unitary irreducible representations of the centrally extended planon group.
José Figueroa-O’Farrill +3 more
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Noncommutative Phase Spaces by Coadjoint Orbits Method
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton-Hooke groups in two- and three-dimensional spaces.
Ancille Ngendakumana +2 more
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