Summary
By applying the procedure of double-dimensional reduction we obtain the string theory from the Weyl-invariant membrane theory. It is shown that the Weyl invariance coming from the original membrane theory and the Weyl invariance coming from the surviving parts of the world volume diffeomorphism invariance of the membrane collapse to just one Weyl invariance associated to the string.
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Nieto, J.A., Nunez, C. Strings from Weyl-invariant membranes. Nuov Cim B 106, 1045–1051 (1991). https://doi.org/10.1007/BF02728348
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DOI: https://doi.org/10.1007/BF02728348