Abstract

We explicitly construct two classes of the BPS solutions in the Aharony-Bergman-Jafferis-Maldacena action---the funnel type solutions and the 't Hooft-Polyakov type solutions---and study their physical properties as the M2--M5 bound state. 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.

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