M-Theory (the Theory Formerly Known as Strings)

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Version to appear in I.J.M.P.A. References added; typographical errors corrected; 25 pages Latex

Scientific paper

10.1142/S0217751X96002583

Superunification underwent a major paradigm shift in 1984 when eleven-dimensional supergravity was knocked off its pedestal by ten-dimensional superstrings. This last year has witnessed a new shift of equal proportions: perturbative ten-dimensional superstrings have in their turn been superseded by a new non-perturbative theory called {\it $M$-theory}, which describes supermembranes and superfivebranes, which subsumes all five consistent string theories and whose low energy limit is, ironically, eleven-dimensional supergravity. In particular, six-dimensional string/string duality follows from membrane/fivebrane duality by compactifying $M$-theory on $S^1/Z_2 \times K3$ (heterotic/heterotic duality) or $S^1 \times K3$ (Type $IIA$/heterotic duality) or $S^1/Z_2 \times T^4$ (heterotic/Type $IIA$ duality) or $S^1 \times T^4$ (Type $IIA$/Type $IIA$ duality).

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