SpaceTime Duality And $SU(n,1)\over SU(n)\otimes U(1)$ Cosets Of Orbifold Compactification

TL;DR

This paper explores the duality symmetry group of specific cosets related to orbifold compactification, detailing its structure and how it acts on moduli fields in string theory models.

Contribution

It explicitly derives the full duality group and its action on the moduli space of orbifold models with Wilson lines.

Findings

Derived the full duality group for the cosets

Explicitly described the action on moduli fields

Enhanced understanding of symmetry in orbifold compactifications

Abstract

The duality symmetry group of the cosets ${\textstyle SU(n,1)\over \textstyle SU(n)\otimes U(1)}$, which describe the moduli space of a two-dimensional subspace of an orbifold model with $(n-1)$ complex Wilson lines moduli, is discussed. The full duality group and its explicit action on the moduli fields are derived.