M5-brane Solution in ABJM Theory and Three-algebra

Details M5-brane Solution in ABJM Theory and Three-algebra M5-brane Solution in ABJM Theory and Three-algebra

2009-09-17

arxiv.org/abs/0909.3101v3

JHEP 0912:059,2009

Physics

High Energy Physics

High Energy Physics - Theory

31 pages; v2: references added, Appendices added for fixing normalizations; v4: version to appear in JHEP

Scientific paper

10.1088/1126-6708/2009/12/059

We construct a new classical solution in the ABJM theory corresponding to M5-branes with a non-zero self-dual three form flux. This is an M-theory lift of the D4-brane solution expressed as a non-commutative plane in the three dimensional super Yang-Mills theory. We discuss that our solution is closely related with the three-algebra. We show that the corresponding configuration of the M5-brane satisfies the equations of motion in the single M5-brane action. We find the agreement between the tension of the M5-brane solution in the ABJM action and the one computed from the single M5-brane action.

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