ALGEBRAIC FORM OF THE M3-BRANE ACTION
Ghadjari H., Rezaei Z.

Received: December 20, 2013

DOI: 10.7868/S004445101405005X

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We reformulate the bosonic action of an unstable M3-brane to manifest its algebraic representation. It is seen that in contrast to string and M2-brane actions, which are respectively represented only in terms of two- and three-dimensional Lie algebras, the algebraic form of the M3-brane action is a combination of four-, three-, and two-dimensional Lie algebras. Corresponding brackets appear as mixtures of the tachyon field, space-time coordinates X, the two-form field , and the Born-Infeld one-form .