The Power of M Theory

Abstract

A proposed duality between type IIB superstring theory on R^9 X S^1 and a conjectured 11D fundamental theory (``M theory'') on R^9 X T^2 is investigated. Simple heuristic reasoning leads to a consistent picture relating the various p-branes and their tensions in each theory. Identifying the M theory on R^{10} X S^1 with type IIA superstring theory on R^{10}, in a similar fashion, leads to various relations among the p-branes of the IIA theory.

13 pages; latex

References in corpus (5)

• Massless Black Holes and Conifolds in String Theory
• Exact Results for N=2 Compactifications of Heterotic Strings
• K3--Fibrations and Heterotic-Type II String Duality
• Black Hole Condensation and the Unification of String Vacua
• String-Membrane Duality in Seven Dimensions

Cited by in corpus (187)

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