Implications of Target Space Duality

Details Implications of Target Space Duality Implications of Target Space Duality

1991-09-24

arxiv.org/abs/hep-th/9109043v2

Physics

High Energy Physics

High Energy Physics - Theory

21 pages (Invited talk presented at PASCOS '91, March 25-30, 1991, Northeastern University, Boston, MA.)

Scientific paper

Based on the assumption that the target space duality ($T\to 1/T$) is preserved even nonperturbatively, the properties of static string vacua are studied. A discussion of the effective four-dimensional supergravity action based on target-space modular symmetry $SL(2,{\bf Z})$ is presented. The nonperturbative superpotential removes the vacuum degeneracy with respect to the compactification modulus ($T$) generically breaks supersymmetry with negative cosmological constant. Charged matter fields get negative $(mass)^2$ signalling an additional instability of string vacuum and the blowing up of orbifold singularities. In addition for a class of modularly invariant potentials topologically stable stringy domain walls of nontrivial compaction modulus field configuration are found. They are supersymmetric solutions, thus saturating the Bogomolnyi bound. Their physical implications are discussed.

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