Duality Transformations in the Ten-Dimensional Action and New Superstring Theories

TL;DR

This paper explores duality transformations in ten-dimensional superstring actions, revealing a family of dual supergravity Lagrangians for type IIA theory, and explicitly constructing these dualities and actions.

Contribution

It introduces a new family of dual supergravity Lagrangians for type IIA superstring theory in ten dimensions and explicitly constructs the duality transformations.

Findings

Existence of a family of dual supergravity Lagrangians.

Explicit construction of duality transformations.

New insights into the spectrum of superstring theories.

Abstract

Type II superstring theory with mixed Dirichlet and Neumann boundary conditions admit antisymmetric tensors with varying degrees in the spectrum. We show that there exists a family of dual supergravity lagrangians to the $N=2$ type IIA action in ten dimensions. The duality transformations and the resulting actions are constructed explicitely.