Results 31 to 40 of about 162 (153)
Chiral fermions, massless particles and Poincare covariance
Physics Letters B, 2015 The coadjoint orbit method is applied to the construction of Hamiltonian dynamics of massless particles of arbitrary helicity. The unusual transformation properties of canonical variables are interpreted in terms of nonlinear realizations of Poincare ...
Krzysztof Andrzejewski +3 more
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Barekeng, 2022 A Frobenius Lie algebra is recognized as the Lie algebra whose stabilizer at a Frobenius functional is trivial. This condition is equivalent to the existence of a skew-symmetric bilinear form which is non-degenerate.
Edi Kurniadi
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Magnetic geodesic flows on coadjoint orbits [PDF]
Journal of Physics A: Mathematical and General, 2006 We describe a class of completely integrable $G$-invariant magnetic geodesic flows on (co)adjoint orbits of a compact connected Lie group $G$ with magnetic field given by the Kirillov-Konstant 2-form.
Bolsinov, Alexey V., Jovanovic, Bozidar
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Extended eigenstate thermalization and the role of FZZT branes in the Schwarzian theory
Journal of High Energy Physics, 2020 In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values of non-extensive operators are thermal. On the other hand, in
Pranjal Nayak +2 more
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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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Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020 Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
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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
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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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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
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