2009/09/30 by Andrew M. Low · 10 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Black Holes and Theoretical Physics #Brane #Commutative property #Lie superalgebra #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Poisson bracket #Poisson distribution #Pure mathematics #Quantum mechanics #Spacetime #Superalgebra #Supermatrix #hep-th
paper · pdf · doi:10.1007/jhep04(2010)089
published in Journal of High Energy Physics 2010(4) (Springer Nature) · 23 pages; references added, section 4 clarifications
openalex publication_date 2010/04/01 · arxiv created 2010/04/29 · arxiv updated 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently it was proposed that the Bagger-Lambert-Gustavsson theory with Nambu-Poisson structure describes an M5-brane in a three-form flux background. In this paper we investigate the superalgebra associated with this theory. We derive the central charges corresponding to M5-brane solitons in 3-form backgrounds. We also show that double dimensional reduction of the superalgebra gives rise to the Poisson bracket terms of a non-commutative D4-brane superalgebra. We provide interpretations of the D4-brane charges in terms of spacetime intersections.