String-Membrane Duality in Seven Dimensions

Abstract

The conjectured equivalence of the heterotic string to a $K_3$ compactified type IIA superstring is combined with the conjectured equivalence of the latter to a compactified 11-dimensional supermembrane to derive a string membrane duality in seven dimensions; the membrane is a soliton of the string theory and vice versa. A prediction of this duality is that the heterotic string is a $K_3$ compactification of the solitonic 11-dimensional fivebrane. It is verified that the worldsheet action of the D=10 heterotic string is indeed obtainable by $K_3$ compactification of the worldvolume action of the 11-dimensional fivebrane, and it is suggested how the worldvolume action of the D=11 supermebrane may be similarly obtained by $T^3$ compactification of the worldvolume action of a D=10 heterotic fivebrane. Generalizations to $D=8$ string-threebrane and membrane-membrane duality are also discussed.

The original version of this paper dealt mostly with one side of string-membrane duality: the solitonic interpretation of the heterotic string as a $K_3$ compactified D=11 superfivebrane. The revised version includes a discussion of the converse prediction: that the supermembrane has a solitonic interpretation as a $T^3$ compactified heterotic fivebrane. It also includes a discussion of D=8 membrane-membrane duality, and various changes to the references

References in corpus (6)

• The eleven-dimensional supermembrane revisited
• The Heterotic String is a Soliton
• STRING STRING DUALITY CONJECTURE IN SIX DIMENSIONS AND CHARGED SOLITONIC STRINGS
• Strong/Weak Coupling Duality from the Dual String
• Enhanced Gauge Symmetries in Superstring Theories
• A Truly Crazy Idea About Type-IIB Supergravity and Heterotic Sigma-Models

Cited by in corpus (39)

• D-branes from M-branes
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• Four Dimensional String/String/String Triality
• The Power of M Theory
• Black Holes and Solitons in String Theory
• Lectures on Superstring and M Theory Dualities
• Compactification of D=11 supergravity on spaces of exceptional holonomy
• Dyonic Membranes
• IR Dynamics on Branes and Space-Time Geometry
• Orbifolds of M-theory
• Supersymmetry and generalized calibrations
• Matrix Theory
• Enhanced Gauge Symmetries in Superstring Theories
• String Dynamics at Strong Coupling
• M-brane intersections from worldvolume superalgebras
• String theory dualities from M theory
• M-theory on manifolds of G2 holonomy: the first twenty years
• Wrapping the M Theory Five-Brane on K3
• Is string theory a theory of strings?
• Timelike Killing spinors in seven dimensions
• String Dualities from Matrix Theory
• Covariant quantization of membrane dynamics
• U-duality multiplets and non-perturbative superstring states
• Dualities in Five Dimensions and Charged String Solutions
• Aspects of M-Theory Brane Interactions and String Theory Symmetries
• M Theory and P-Branes
• Dualisation of the D=7 Heterotic String
• Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
• Towards a background independent approach to M theory
• Monads and D-instantons
• Neveu-Schwarz Five-Branes And Matrix String Theory On K3
• Heterotic and type I strings from twisted supermembranes
• Duality Symmetries and the Type II String Effective Action
• Introductory Lectures on Multiple Membranes
• String Dualities from Matrix Theory: A Summary
• A Supermembrane Description of String-String Duality
• T-duality and Gauge Symmetry in Supermembrane Theory
• The M Theory Five-Brane and the Heterotic String
• String/$(D-5)$-brane Duality and $S$ Duality as Symmetries of Actions