Results 91 to 100 of about 178 (165)

A coadjoint orbit–like construction for Jordan superalgebras

Journal of Geometry and Physics
We investigate the canonical pseudo-Riemannian metrics associated with Jordan-analogues of the coadjoint orbits for pseudo-Euclidean Jordan superalgebras.
Florio M. Ciaglia, Shuhan Jiang, Jürgen Jost, Lorenz Schwachhöfer   +3 more
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Coadjoint orbits of the Virasoro group [PDF]

Communications in Mathematical Physics, 1988
The coadjoint orbits of the Virasoro group, which have been investigated by Lazutkin and Pankratova and by Segal, should according to the Kirillov-Kostant theory be related to the unitary representations of the Virasoro group. In this paper, the classification of orbits is reconsidered, with an explicit description of the possible centralizers of ...
openaire   +3 more sources

Galilei particles revisited

SciPost Physics Lecture Notes
We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group.
José Miguel Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez, Stefan Prohazka
doaj   +1 more source

Symplectic actions on coadjoint orbits

Physics Letters B, 1990
Abstract We present a compact expression for the field theoretical actions based on the symplectic analysis of coadjoint orbits of Lie groups. The final formula for the action density αc becomes a bilinear form 〈(S, 1/λ), (y, my)〈, where S is a 1-cocycle of the Lie group (a schwarzian type of derivative in conformal case), λ is a coefficient of the ...
Aratyn, H., Nissimov, E., Pacheva, S., Zimerman, A. M.   +3 more
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A Quantization Procedure of Fields Based on Geometric Langlands Correspondence

International Journal of Mathematics and Mathematical Sciences, 2009
We expose a new procedure of quantization of fields, based on the Geometric Langlands Correspondence. Starting from fields in the target space, we first reduce them to the case of fields on one-complex-variable target space, at the same time increasing ...
Do Ngoc Diep
doaj   +1 more source

Lectures on Classical Integrable Systems and Gauge Field Theories

Acta Polytechnica, 2008
In these lectures we consider Hitchin integrable systems and their relations with the self-duality equations and twisted super-symmetric Yang-Mills theory in four dimension.
M. Olshanetsky
doaj  

Free Field Realisation of the Chiral Universal Centraliser. [PDF]

Ann Henri Poincare, 2023
Beem C, Nair S.
europepmc   +1 more source

The Restricted Siegel Disc as Coadjoint Orbit

The restricted Siegel disc is a homogeneous space related to the connected component $T_0(1)$ of the Universal Teichmüller space via the period mapping. In this paper we show that it is a coadjoint orbit of the universal central extension of the restricted symplectic group or, equivalently, an affine coadjoint orbit of the restricted symplectic group ...
Gay-Balmaz, François, Ratiu, Tudor S., Tumpach, Alice B.   +2 more
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Berry curvature and quantum oscillation from multi-orbital coadjoint-orbit bosonization

SciPost Physics
We develop an effective field theory for a multi-orbital fermionic system using the method of coadjoint orbits for higher-dimensional bosonization. The dynamical bosonic fields are single-particle distribution functions defined on the phase space.
Mengxing Ye, Yuxuan Wang
doaj   +1 more source

Solvable models of quantum black holes: a review on Jackiw-Teitelboim gravity. [PDF]

Living Rev Relativ, 2023
Mertens TG, Turiaci GJ.
europepmc   +1 more source