1992/09/18 by Alessandro Pelizzola, Pelizzola, Alessandro, Corrado Topi +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Condensed Matter (cond-mat) #FOS: Physical sciences #Nonlinear Waves and Solitons #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9209022
42 pages
arxiv created 1992/09/18 · openalex publication_date 1992/09/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Coherent states for a general Lie superalgebra are defined following the method originally proposed by Perelomov. Algebraic and geometrical properties of the systems of states thus obtained are examined, with particular attention to the possibility of defining a Kähler structure over the states supermanifold and to the connection between this supermanifold and the coadjoint orbits of the dynamical supergroup. The theory is then applied to some compact forms of contragradient Lie superalgebras.