Lessons from M2's and Hopes for M5's

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 arXiv:1203.3546. 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.

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

References in corpus (18)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Fractional M2-branes
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• M2-branes, 3-Lie Algebras and Plucker relations
• On the Lie-algebraic origin of metric 3-algebras
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Light-cone M5 and multiple M2-branes
• Instanton Operators in Five-Dimensional Gauge Theories
• Metric 3-Lie algebras for unitary Bagger-Lambert theories
• Three-Algebras in N = 5, 6 Superconformal Chern-Simons Theories: Representations and Relations
• Emergent Time and the M5-Brane
• M2-Branes And The (2,0) Superalgebra
• (2,0) theory on Taub-NUT: A note on WZW models on singular fibrations

Cited by in corpus (14)

• Membrane Limits in Quantum Gravity
• Twisted Cohomotopy implies twisted String structure on M5-branes
• Surface operators in the 6d $\mathcal{N}=(2,0)$ theory
• Twisted Cohomotopy implies M5-brane anomaly cancellation
• Super-exceptional geometry: origin of heterotic M-theory and super-exceptional embedding construction of M5
• Super-exceptional embedding construction of the heterotic M5: Emergence of SU(2)-flavor sector
• M5-brane in the superspace approach
• Flux Quantization on M5-branes
• Self-Dual Forms in Supergeometry I: The Chiral Boson
• Towards an M5-Brane Model III: Self-Duality from Additional Trivial Fields
• Higher Gauge Theory
• Manifestly Covariant Polynomial M5-brane Lagrangians
• M5-brane prongs, string soliton bound states and wall-crossing
• Entanglement and Excitations in Gauge/Gravity Duality