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String-string duality conjecture in six dimensions and charged solitonic strings. (English) Zbl 0982.81520
Summary: It has recently been conjectured that the type IIA string theory compactified on $$K3$$ and the heterotic string theory compactified on a four dimensional torus describe identical string theories. The fundamental heterotic string can be regarded as a non-singular soliton solution of the type IIA string theory with a semi-infinite throat. We show that this solution admits 24 parameter non-singular deformation describing a fundamental heterotic string carrying electric charge and current. The charge is generated due to the coupling of the gauge fields to the anti-symmetric tensor field, and not to an explicit source term. This clarifies how soliton solutions carrying charge under the Ramond-Ramond fields can be constructed in the type IIA theory, and provides further support to the string-string duality conjecture. Similarly, the fundamental type IIA string can be regarded as a non-singular solution of the heterotic string theory with a semi-infinite throat, but this solution does not admit any deformation representing charged string. This is also consistent with the expectation that a fundamental type IIA string does not carry any charge that couples to the fields originating in the Ramond-Ramond sector.

##### MSC:
 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 32J81 Applications of compact analytic spaces to the sciences 14J81 Relationships between surfaces, higher-dimensional varieties, and physics 14J28 $$K3$$ surfaces and Enriques surfaces
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