M5-branes in ABJM theory and Nahm equation

Abstract

We construct BPS solutions representing M2-M5 bound state in the ABJM action explicitly. They include the funnel type solutions and 't Hooft Polyakov monopole solutions. Furthermore, we give a one to one correspondence between the solutions of the BPS equation and the ones of an extended Nahm equation which includes the Nahm equation. This enables us to construct infinitely many conserved quantities from the Lax form of the Nahm equation.

22 pages, 4 figures, minor corrections, references added

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Cited by in corpus (3)

• Large N behavior of mass deformed ABJM theory
• Mock Modular Index of M2-M5 Brane System
• $SL(2,\mathbb{Z})$ dualities of boundary conditions in Abelian M2-brane SCFTs