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Algebraic form of the M3-brane action

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

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 \(\hat \omega ^{(2)}\), and the Born-Infeld one-form \(\hat b_\mu\).

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Authors and Affiliations

  1. Department of Physics, Amirkahir University of Technology (Tehran Polytechnic), Tehran, 15875-4413, Iran

    H. Ghadjari

  2. Department of Physics, University of Tafresh, Tehran, 39518-79611, Iran

    Z. Rezaei

Authors
  1. H. Ghadjari
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  2. Z. Rezaei
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Correspondence to H. Ghadjari.

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Ghadjari, H., Rezaei, Z. Algebraic form of the M3-brane action. J. Exp. Theor. Phys. 118, 723–727 (2014). https://doi.org/10.1134/S106377611405001X

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  • DOI: https://doi.org/10.1134/S106377611405001X

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