SL(2, Z) Multiplets of Type II Superstrings in $D<10$

Abstract

It has been shown recently that the toroidally compactified type IIB string effective action possesses an SL(2, R) invariance. Using this symmetry we construct an infinite family of macroscopic string-like solutions permuted by SL(2, Z) group for type II superstrings in $4\le D<10$. These solutions, which formally look very similar to the corresponding solutions in $D=10$, are characterized by two relatively prime integers corresponding to the `electric' charges associated with the two antisymmetric tensor fields of the strings. Stability of these solutions is discussed briefly in the light of charge conservation and the tension gap equation.

13 pages, LaTeX, no figures, some statements regarding solutions in D=4 has been corrected, minor typos corrected, more typos corrected, some sentences of clarification have been added

References in corpus (1)

• On S-Duality of Toroidally Compactified Type IIB String Effective Action

Cited by in corpus (5)

• (F, D5) Bound State, SL(2, Z) Invariance and The Descendant States in Type IIB/A String Theory
• U-duality p-Branes in Diverse Dimensions
• Nonperturbative SL(2,Z) (p,q)-strings manifestly realized on the quantum M2
• On S-Duality of Toroidally Compactified Type IIB String Effective Action
• Kaluza-Klein and H-Dyons in String Theory