Results 71 to 80 of about 162 (153)
Berry curvature and quantum oscillation from multi-orbital coadjoint-orbit bosonization
SciPost PhysicsWe 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
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Journal of High Energy Physics, 2018 We consider SU(N ) N $$ \mathcal{N} $$ = 4 super Yang-Mills with cubic and quadratic soft SUSY breaking potential, such that the global SU(4) R is broken to SU(3) or further.
Marcus Sperling, Harold C. Steinacker
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A theory of reparameterizations for AdS3 gravity
Journal of High Energy Physics, 2019 We rewrite the Chern-Simons description of pure gravity on global AdS3 and on Euclidean BTZ black holes as a quantum field theory on the AdS boundary. The resulting theory is (two copies of) the path integral quantization of a certain coadjoint orbit of ...
Jordan Cotler, Kristan Jensen
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Coadjoint Orbits, Cocycles and Gravitational Wess–Zumino [PDF]
Reviews in Mathematical Physics, 2018 About 30 years ago, in a joint work with L. Faddeev we introduced a geometric action on coadjoint orbits. This action, in particular, gives rise to a path integral formula for characters of the corresponding group [Formula: see text]. In this paper, we revisit this topic and observe that the geometric action is a 1-cocycle for the loop group [Formula:
Anton Alekseev, Samson L. Shatashvili
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Hydrodynamics of Two-Dimensional CFTs
UniverseWe demonstrate that the geometric action on a coadjoint orbit of the Virasoro group appropriately describes non-dissipative two-dimensional conformal fluids.
Kevin Nguyen
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Canonical domains for coadjoint orbits
Journal of the London Mathematical Society, 2023 AbstractThis paper describes two real analytic symplectomorphisms defined on appropriate dense open subsets of any coadjoint orbit of a compact semisimple Lie algebra. The first symplectomorphism sends the open dense subset to a bounded subset of a standard cotangent bundle.
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, 2003 I give an answer to the question ``Which groups have compact coadjoint orbits?''. Whilst I thought that the answer, which is straightforward, must be in the literature, I was unable to find it. This note aims to rectify this. It is also a plea: If the result is already published then I would like to be told the reference.
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Strict quantization of coadjoint orbits [PDF]
Journal of Mathematical Physics, 1998 A strict quantization of a compact symplectic manifold S on a subset I⊆R, containing 0 as an accumulation point, is defined as a continuous field of C*-algebras {Aℏ}ℏ∈I, with A0=C0(S), and a set of continuous cross sections {Q(f)}f∈C∞(S) for which Q0(f)=f.
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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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Fluid Implicit Particles on Coadjoint Orbits
ACM Transactions on GraphicsWe propose Coadjoint Orbit FLIP (CO-FLIP), a high order accurate, structure preserving fluid simulation method in the hybrid Eulerian-Lagrangian framework. We start with a Hamiltonian formulation of the incompressible Euler Equations, and then, using a local, explicit, and high order divergence free interpolation, construct a modified Hamiltonian ...
Mohammad Sina Nabizadeh +4 more
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