Supercoherent states, super-Kähler geometry and geometric quantization

DOI10.1007/BF02099508zbMath0840.58010arXivhep-th/9403109MaRDI QIDQ1907615

Amine M. El Gradechi, Luis-Miguel Nieto

Publication date: 7 July 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9403109

zbMATH Keywords

coadjoint orbitsirreducible representationsgeometric quantizationLie supergroupssupercoherent statessuper-Kähler geometry

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Superalgebras (17A70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Geometric quantization (53D50) Analysis on supermanifolds or graded manifolds (58C50)

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Cites Work

• General concept of quantization
• Supergeometry and Hermitian conjugation
• Structure of basic Lie superalgebras and of their affine extensions
• Characters and super-characters of discrete series representations for orthosymplectic Lie superalgebras
• Geometric quantization of the BRST charge
• Deformation theory and quantization. I: Deformations of symplectic structures
• The theory of Lie superalgebras. An introduction
• Super Toeplitz operators and non-perturbative deformation quantization of supermanifolds
• Geometric quantization of an \(\text{OSp} (1/2)\) coadjoint orbit
• The Structure of Supermanifolds
• Anomalies from geometric quantization of fermionic field theories
• Superposition formulas for nonlinear superequations
• Deformations of Complex Supermanifolds
• Quantization: Towards a comparison between methods
• 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)
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• Ten Lectures on Wavelets
• A note on coherent state representations of Lie groups
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras
• Hermitian Lie Algebras and Metaplectic Representations. I
• On the Super-Unitarity of Discrete Series Representations of Orthosymplectic Lie Superalgebras
• On the supersymplectic homogeneous superspace underlying the OSp(1/2) coherent states
• On Schrödinger superalgebras
• Hilbert superspace
• On Holomorphic Graded Manifolds
• Coherent and Incoherent States of the Radiation Field
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