Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity

Abstract

We consider the non-abelian theory (http://arxiv.org/abs/arXiv:1203.4224) for an arbitrary number $N_5$ of five-branes and construct self-dual string solution with an arbitrary $N_2$ unit of self-dual charges. This generalizes the previous solution of non-abelian self-dual string (http://arxiv.org/abs/arXiv:1207.1095) of $N_5=2,N_2=1$. The radius-transverse distance relation describing the M2-branes spike, particularly its dependence on $N_2$ and $N_5$, is obtained and is found to agree precisely with the supergravity description of an intersecting M2-M5 branes system.

12 pages. v2: typos corrected

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• Duality-symmetric actions for non-Abelian tensor fields
• The M5-brane action revisited
• Quantum Thermodynamics of an M2-M5 Brane System
• Emergent Time and the M5-Brane
• Observations on BPS observables in 6d
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Non-Abelian tensor hierarchy in (1,0) D=6 superspace
• Self-dual String and Higher Instanton Solutions
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles
• A Nonabelian $(1,0)$ Tensor Multiplet Theory in 6D