Coherent states for the noncompact supergroups Osp(2/2N,R)

DOI10.1063/1.528441zbMath0666.17008OpenAlexW2051323589MaRDI QIDQ3818471

P. Halse, A. Baha Balantekin, H. A. Schmitt

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528441

zbMATH Keywords

generatorsLie superalgebracoherent statesbasisLie supergrouporthosymplectic superalgebrasintegration measureorthosymplectic supergroups

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Graded Lie (super)algebras (17B70)

Related Items

N = 2 SUPERCONFORMAL FIELD THEORY ON THE BASIS OF osp(2|2) ⋮ On the supersymplectic homogeneous superspace underlying the OSp(1/2) coherent states ⋮ Supercoherent states, super-Kähler geometry and geometric quantization ⋮ Character expansions for the orthogonal and symplectic groups ⋮ Positive discrete series representations of the noncompact superalgebra Osp(4/2,R) ⋮ Generalized fermions and Lie superalgebras spl(m/n) ⋮ Path-integral formalism for the supercoherent states ⋮ Supersymmetry and supercoherent states of a nonrelativistic free particle ⋮ Hidden supersymmetry and Berezin quantization of N=2, D=3 spinning superparticles ⋮ On Green–Cusson Ansätze and deformed supersymmetric quantum mechanics ⋮ Positive discrete series of osp(2‖2,R) and (para)supersymmetric quantum mechanics ⋮ Representations of quantum superalgebra U q[gl(2|1) in a coherent state basis and generalization] ⋮ Supergroups factorizations through matrix realization ⋮ $Sp(4; \mathbb{R})$ squeezing for Bloch four-hyperboloid via the non-compact Hopf map

Cites Work

• Coherent states for arbitrary Lie group
• Explicit reduction of spl(1,2) to osp(1,2) as a simplified model for applications of supersymmetry to nuclear physics
• Coherent states for the harmonic oscillator representations of the orthosymplectic supergroup Osp(1/2N,R)
• Irreducible representations of the osp(2,1) and spl(2,1) graded Lie algebras

This page was built for publication: Coherent states for the noncompact supergroups Osp(2/2N,R)