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

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

1997-06-24

arxiv.org/abs/hep-th/9706165v4

Phys.Lett.B421:176-184,1998

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(98)00018-5

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 $4 \leq D < 10$. 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.

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