M Theory and P-Branes

Abstract

Ten dimensional type IIA and IIB theories with p-branes are compactified to 8-dimensions. It is shown that resulting branes can be classified according to the representations of $\mathbf{SL}(3,\mathbf{Z})\times \mathbf{SL}(2,\mathbf{Z})$. These p-branes can also be obtained by compactification of M theory on three torus and various wrappings of membrane and five brane of the eleven dimensional theory. It is argued that there is evidence for bound states of the branes in eight dimensions as is the case in the interpretation of $\mathbf{SL}(2,\mathbf{Z})$ family of string solutions obtained by Schwarz.

12 pages, no figures, revtex

References in corpus (12)

• String Theory Dynamics In Various Dimensions
• Unity of Superstring Dualities
• Target Space Duality in String Theory
• String Solitons
• The eleven-dimensional supermembrane revisited
• Noncompact Symmetries in String Theory
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• An SL(2,Z) Multiplet of Type IIB Superstrings
• Twisting Classical Solutions in Heterotic String Theory
• Black and super p-branes in diverse dimensions
• String-Membrane Duality in Seven Dimensions
• Evidence for Non-perturbative String Symmetries

Cited by in corpus (7)

• The Worldsheet Perspective of T-duality Symmetry in String Theory
• S-duality and Compactification of type IIB Superstring Action
• U-Duality Symmetries from the Membrane Worldvolume
• K-Models and Type IIB Superstring Backgrounds
• T-duality of NSR superstring: The worldsheet perspective
• M-Theory on Orientifolds of $K_3\times S^1$
• Compactification of IIB Theory with Fluxes and Axion-Dilaton String Cosmology