Superstring partition functions in the doubled formalism

TL;DR

This paper computes the superstring partition function in the doubled formalism on a two-torus, confirming it matches known results for type-IIA and type-IIB theories under specific projections.

Contribution

It demonstrates the computation of superstring partition functions within the doubled formalism and verifies their consistency with established toroidal compactifications.

Findings

Partition function matches toroidally compactified type-IIA and IIB results

Verification of GSO projection consistency

Supports doubled formalism as a valid approach

Abstract

Computation of superstring partition function for the non-linear sigma model on the product of a two-torus and its dual within the scope of the doubled formalism is presented. We verify that it reproduces the partition functions of the toroidally compactified type--IIA and type--IIB theories for appropriate choices of the GSO projection.