All Physics Faculty Publications

26-Dimensional String from 4-Dimensional Geometry

Document Type

Article

Journal/Book Title/Conference

General Relativity & Gravitation

Volume

20

Issue

7

Publication Date

1-1-1988

First Page

659

Last Page

665

Abstract

A study of 4-dimensional volume preserving covariant changes of the metric leads directly to string theory in 26 dimensions. In any conformally invariant theory of such metric distortions, a new principle of relativity is shown to imply that the maximum number of independent components of the distortion tensor is 26. Within the simplest such theory allowing metric compatible spaces as trivial solutions, we show that this maximum is realized by a solution equivalent to the 26-dimensional bosonic string.

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