M2-branes stretching between M5-branes

Abstract

A generalization of Nahm's equation has been recently conjectured by Basu and Harvey to be the BPS condition describing the bound state of a stack of M2-branes ending on an M5-brane. In this note exact solutions are presented for the proposed BPS equation - which is from the point of view of the M2-brane world-volume dynamics - with boundary conditions appropriate for M2-branes stretching between two M5-branes. Unfortunately, since the action for multiple M5-branes or for multiple coincident M2-branes is not known, one can only resort to consistency checks of the proposal instead of a direct comparison of the M2 and M5 world-volume point of views. The existence of our solutions should be seen as such a consistency check of the conjecture, and also as a source of new insight into the dynamics of multiple M2 and M5-branes.

11 pages, typos corrected, references added

References in corpus (5)

• The M2-M5 Brane System and a Generalized Nahm's Equation
• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• Classification of All 1/2 BPS Solutions of the Tiny Graviton Matrix Theory
• Five-brane Calibrations and Fuzzy Funnels
• Large-small dualities between periodic collapsing/expanding branes and brane funnels

Cited by in corpus (11)

• Modeling Multiple M2's
• M-theory branes and their interactions
• A note on the M2-M5 brane system and fuzzy spheres
• Self-dual Strings and 2D SYM
• Constructing Generalized Self-Dual Strings
• On Time-dependent Collapsing Branes and Fuzzy Odd-dimensional Spheres
• Aspects of M-Theory Brane Interactions and String Theory Symmetries
• Integrability of BPS equations in ABJM theory
• M5-branes in ABJM theory and Nahm equation
• Mock Modular Index of M2-M5 Brane System
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs