1991/08/20 by Jacob Sonnenschein, J. Sonnenschein, Sonnenschein, J. +2 · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Advanced Topics in Algebra #Algebra over a field #Black Holes and Theoretical Physics #Combinatorics #Conformal field theory #Conformal map #Covariant derivative #Covariant transformation #FOS: Physical sciences #Field (mathematics) #Geometry #High Energy Physics - Theory (hep-th) #Homogeneous space #Mathematical physics #Mathematics #Nilpotent #Noncommutative and Quantum Gravity Theories #Physics #Primary field #Pure mathematics #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9108008
published in arXiv (Cornell University) (Cornell University) · 26 pages
arxiv created 1991/08/20 · openalex publication_date 1991/08/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that various actions of topological conformal theories that were suggested recentely are particular cases of a general action. We prove the invariance of these models under transformations generated by nilpotent fermionic generators of arbitrary conformal dimension, \Q and \G. The later are shown to be the nth covariant derivative with respect to ``flat abelian gauge field" of the fermionic fields of those models. We derive the bosonic counterparts \W and \R which together with \Q and \G form a special N=2 super W_∞ algebra. The algebraic structure is discussed and it is shown that it generalizes the so called ``topological algebra".