2004/07/21 by Jasbir Nagi, Jørgen Rasmussen, Jorgen Rasmussen · 12 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Black Holes and Theoretical Physics #Cellular algebra #Conformal field theory #Conformal map #Field (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #N = 2 superconformal algebra #Physics of Superconductivity and Magnetism #Primary field #Pure mathematics #Superconformal algebra #Superspace #Supersymmetry #Virasoro algebra #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.nuclphysb.2004.10.003
published in Nuclear Physics B 704(3), 475-489 (Elsevier BV) · LaTeX2e, 15 pages
arxiv created 2004/07/21 · openalex publication_date 2004/10/23 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Links between certain stochastic evolutions of conformal maps and conformal field theory have been studied in the realm of SLE and by utilizing singular vectors in highest-weight modules of the Virasoro algebra. It was recently found that this scenario could be extended to stochastic evolutions of superconformal maps of N=1 superspace with links to superconformal field theory and singular vectors of the N=1 superconformal algebra in the Neveu-Schwarz sector. Here we discuss the analogous extension to the Ramond sector. We also discuss how the links are modified when an unconventional superconformal structure or superderivative is employed.