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Conformal non-geometric gravity in six dimensions and M-theory above the Planck energy

C M Hull

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The proposal that a strong-coupling limit of the five-dimensional type II string theory (M-theory compactified on a 6-torus) in which the Planck length becomes infinite could give a six-dimensional superconformal phase of M-theory is reviewed. This limit exists for the free theory, giving a six-dimensional theory with (4,0) supersymmetry compactified on a circle whose radius gives the five-dimensional Planck length. The free six-dimensional theory has a fourth rank tensor gauge field with the symmetries of the Riemann tensor instead of a symmetric tensor gauge field, but its dimensional reduction gives conventional linearized gravity in five dimensions. The possibility of an interacting form of this theory existing and the consequences it would have for the geometric picture of gravity are discussed.


PACS

04.50.-h Higher-dimensional gravity and other theories of gravity

11.15.-q Gauge field theories

11.25.Yb M theory

11.30.Pb Supersymmetry

04.60.-m Quantum gravity

11.25.Hf Conformal field theory, algebraic structures

MSC

83E15 Kaluza-Klein and other higher-dimensional theories

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

83E30 String and superstring theories (See also 81T30)

81T40 Two-dimensional field theories, conformal field theories, etc.

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 16 (21 August 2001)

Received 19 November 2000

Published 1 August 2001



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