On the Worldsheet Derivation of Large N Dualities for the Superstring

TL;DR

This paper advances the understanding of large N dualities in superstring theory by deriving their origin on the superstring worldsheet, connecting topological string dualities to full ten-dimensional superstring dualities.

Contribution

It demonstrates how superstring dualities arise at the worldsheet level using the hybrid formalism and establishes the equivalence to a ten-dimensional topological string.

Findings

Hybrid formalism is equivalent to a $=5$ topological string in ten dimensions.

D brane boundary states naturally emerge on the superstring worldsheet.

The derivation extends topological string dualities to full superstring dualities.

Abstract

Large N topological string dualities have led to a class of proposed open/closed dualities for superstrings. In the topological string context, the worldsheet derivation of these dualities has already been given. In this paper we take the first step in deriving the full ten-dimensional superstring dualities by showing how the dualities arise on the superstring worldsheet at the level of F terms. As part of this derivation, we show for F-term computations that the hybrid formalism for the superstring is equivalent to a $\hat c=5$ topological string in ten-dimensional spacetime. Using the $\hat c=5$ description, we then show that the D brane boundary state for the ten-dimensional open superstring naturally emerges on the worldsheet of the closed superstring dual.