String-membrane duality in seven dimensions

  • Townsend P
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The conjectured equivalence of the heterotic string to a K3compactified type IIA superstring is combined with the conjectured equivalence of the latter to a compactified 11-dimensional supermembrane to derive a string membrane duality in seven dimensions; the membrane is a soliton of the string theory and vice versa. A prediction of this duality is that the heterotic string is a K3compactification of the solitonic 11-dimensional fivebrane. It is verified that the worldsheet action of the D = 10 heterotic string is indeed obtainable by K3compactification of the worldvolume action of the 11-dimensional fivebrane, and it is suggested how the worldvolume action of the D = 11 supermebrane may be similarly obtained by T3compactification of the worldvolume action of a D = 10 heterotic fivebrane. Generalizations to D = 8 string-threebrane and membrane-membrane duality are also discussed. © 1995.

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  • P. K. Townsend

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