Remarks on Plücker embedding and totally antisymmetric gauge fields
Keyword(s):
We make a number of comments about the way the Plücker embedding, which can be derived via the Grassmann-Plücker relations, can be associated to totally antisymmetric gauge fields. As a first step we discuss the case of the electromagnetic field strength, showing that the Plücker map implies both the true degrees of freedom of the electromagnetic field and the 1-brane (string) structure. The procedure is generalized in order to prove that the true degrees of freedom of a totally antisymmetric field and the p-brane structure are, in part, consequence of the Plücker coordinates.
2002 ◽
2009 ◽
2014 ◽
Vol 602-605
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pp. 2637-2640
2011 ◽
Vol 697-698
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pp. 533-536
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