On the supersymplectic homogeneous superspace underlying the OSp(1/2) coherent states

DOI10.1063/1.530242zbMath0783.58007arXivhep-th/9301132OpenAlexW2123803838MaRDI QIDQ4276808

Amine M. El Gradechi

Publication date: 20 March 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9301132

zbMATH Keywords

coherent statesKähler metricKähler 2-formsuper-Kähler supermanifoldsuper-Kähler superpotentialsupersymplectic supermanifold

Mathematics Subject Classification ID

Coherent states (81R30) Supermanifolds and graded manifolds (58A50)

Related Items

Geometric quantization of an \(\text{OSp} (1/2)\) coadjoint orbit ⋮ Supercoherent states, super-Kähler geometry and geometric quantization ⋮ Large N limit of SO(N) gauge theory of fermions and Bosons ⋮ Integrable quantum field theories with supergroup symmetries: the OSP(1/2) case ⋮ Supersymmetry and supercoherent states of a nonrelativistic free particle ⋮ Geometric quantization on the super-disk ⋮ On the Super-Unitarity of Discrete Series Representations of Orthosymplectic Lie Superalgebras ⋮ Supercoherent states, group-geometrical realizations and simplest supergroups

Cites Work

• General concept of quantization
• BRST cohomology in classical mechanics
• Superposition formulas for nonlinear superequations
• Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,R)
• Coherent states for the noncompact supergroups Osp(2/2N,R)
• Representations of Osp(2, 1) and the metaplectic representation
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• A note on coherent state representations of Lie groups