An SL(2,Z) Multiplet of Type IIB Superstrings

TL;DR

This paper constructs an SL(2,Z) family of type IIB superstring solutions characterized by integer charges, revealing their covariant tensions and linking them to eleven-dimensional supergravity compactified on a torus.

Contribution

It introduces a new class of solutions in type IIB supergravity labeled by integer pairs, demonstrating their SL(2,Z) covariance and connection to higher-dimensional theories.

Findings

Solutions labeled by coprime integers with SL(2,Z) symmetry.

String tensions vary covariantly with charges.

Connection established between IIB theory and 11D supergravity on a torus.

Abstract

An SL(2, Z) family of string solutions of type IIB supergravity in ten dimensions is constructed. The solutions are labeled by a pair of relatively prime integers, which characterize charges of the three-form field strengths. The string tensions depend on these charges in an SL(2, Z) covariant way. Compactifying on a circle and identifying with eleven-dimensional supergravity compactified on a torus implies that the modulus of the IIB theory should be equated to the modular parameter of the torus.