The interest in membranes and higher dimensional extended geometrical objects was inspired by the great successes of the string and superstring, first in 1968-73 as a theory of hadrons and then since 1984 as a ¿theory of everything¿ ¿ a unified theory of all interactions, including quantum gravity. In particular, membranes, ¿supermembranes¿ and ¿spinning membranes¿ have been studied since 1985; an unexpected connection with supergravity opened in 1988 some new prospects for a quantized theory. General theorems about higher dimensional ¿p-branes¿ or ¿extendons¿ were also derived. The subject is very promising, whether as a more comprehensive fundamental unification or as a description of composite hadrons.Where there are now probably some fifty texts of all kinds dealing with strings, this is the first treatise on membranes and higher dimensional extendons.
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