Maximum Supergravity
A theory of maximum supergravity in dimension NR is a theory of Supergravité having a maximum number of supersymmetries for this dimension under the constraint not to contain a field of Spin higher than 2 (the Graviton being a field of spin 2). One can show that the high limit of size for such a theory is 11. It was shown in addition that for this dimension there exists in fact a single theory of maximum supergravity. She was formulated in 1978 by Cremmer, Julia and Scherk. In dimension smaller than 11, the maximum theories of supergravity are expressed like dimensional Réduction (one says also compactification) of the supergravity with 11 dimensions on tori of various dimensions.
In 1995 it was proposed by Witten that the theory of maximum supergravity with 11 dimensions is the traditional Limite of a quantum theory, not yet formulated, called Théorie M which would have the property to connect continuously different the theories from supercordes.
See too
References
- To cream, Julia, Scherk, '' Supergravity Theory In Eleven-Dimensions. '', Phys.Lett.B76: 409-412,1978, préprint available on the site of file KEK
- Edward Witten, '' String theory dynamics in various dimensions. '', Nucl.Phys.B443: 85-126,1995, préprint available on the ArXiv.
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