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M5-brane solution in ABJM theory and three-algebra

Seiji Terashima and Futoshi Yagi

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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.

Keywords

M-Theory

p-branes

Chern-Simons Theories

D-branes

 

E-print Number: 0909.3101

Cited: by |

Refers: to

PACS

11.25.Yb M theory

11.30.Pb Supersymmetry

11.25.Uv D branes

11.15.-q Gauge field theories

11.10.Nx Noncommutative field theory

Subjects

Particle physics and field theory

Dates

Issue 12 (December 2009)

Received 23 October 2009, accepted for publication 25 November 2009

Published 18 December 2009



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