M‐Branes: Lessons from M2's and Hopes for M5's

2019/03/07 by Neil Lambert
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Brane #Brane cosmology #Computer science #Construct (python library) #Cosmology and Gravitation Theories #Physics #Theoretical physics #hep-th

paper · pdf · doi:10.1002/prop.201910011

16 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium Higher Structures in M-Theory, August 2018

arxiv created 2019/03/07 · openalex created_date 2019/03/22 · openalex publication_date 2019/04/17 · arxiv updated 2021/07/28 · openalex updated_date 2026/08/05

Abstract

Abstract In this talk we will review the construction of M2‐brane SCFT's highlighting some novelties and the role of 3‐algebras. Parts of our discussion will closely follow parts of [1]. Next we will discuss M5‐branes: the basics, the obstacles as well as various attempts to construct the associated SCFT and potential relations between M2‐branes and M5‐branes.

Citations

• Multiple Membranes in M-theory
• Self-dual Chern-Simons Higgs systems with anN=3extended supersymmetry
• Instanton operators and symmetry enhancement in 5D supersymmetric gauge theories
• Metric 3-Lie algebras for unitary Bagger-Lambert theories
• Covariant field equations of the M-theory five-brane
• Duality and the signature of space-time
• M2-branes, 3-Lie algebras and Plücker relations
• Five-Brane Effective Action In M-Theory
• Constraining maximally supersymmetric membrane actions
• Three-algebras inN=5, 6 superconformal Chern-Simons theories: Representations and relations
• Covariant action for a D = 11 five-brane with the chiral field
• N = 2 dualities
• Algebraic structures on parallel M2 branes
• Non-Abelian tensor towers and (2,0) superconformal theories
• Gauge symmetry and supersymmetry of multiple M2-branes
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Notes on theories with 16 supercharges