Exact Type IIB Superstring Backgrounds

TL;DR

This paper constructs a family of exact type IIB superstring backgrounds with Ramond-Ramond fields by applying a solution-generating transformation based on the $SL(2,R)$ symmetry, ensuring they solve all orders in $eta'$.

Contribution

It introduces a method to generate exact type IIB backgrounds from heterotic backgrounds using $SL(2,R)$ symmetry, valid to all orders in $eta'$.

Findings

Successfully generated a family of exact type IIB backgrounds.

Demonstrated solutions are valid to all orders in $eta'$.

Provided a geometric analysis supporting the solutions' validity.

Abstract

We obtain a family of type IIB superstring backgrounds involving Ramond-Ramond fields in ten dimensions starting from a heterotic string background with vanishing gauge fields. To this end the global $SL(2,R)$ symmetry of the type IIB equations of motion is implemented as a solution generating transformation. Using a geometrical analysis we show that the type IIB backgrounds obtained are solutions to all orders in $\alpha^{\prime}$.