M5-brane solution in ABJM theory and three-algebra

DOI number:10.1088/1126-6708/2009/12/059

Journal:Journal of High Energy Physics

Abstract: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.

Note:The preprint version is available at https://arxiv.org/abs/0909.3101

Co-author:Seiji Terashima,Futoshi Yagi

Indexed by:SCI

Discipline:Science

Volume:12(2009)

Issue:059

Translation or Not:no

Date of Publication:2009-12-18

Included Journals:SCI

Links to published journals:https://doi.org/10.1088/1126-6708/2009/12/059