that arise via compactification of the standard Fock representation of the string. On the other hand, if such solutions are found, then this would prove that neither a critical dimension (D=10,11,26) nor supersymmetry is a prediction of string theory. Rather, these would be features of the particular Fock representation of current string theory and hence would not be generic.

    The solution presented in this paper exploits the flatness of the target space in several important ways. In a companion paper we treat the more complicated case of curved target spaces.
author:
- |
    T. Thiemann[^1]\
    \
    Perimeter Institute for Theoretical Physics\
    35 King St. N., Waterloo, ON N2J 2W9, Canada\
    \
    and\
    \
    University of Waterloo
date: '[ PI-2004-001]{}'
title: |
    The LQG – String:\
    Loop Quantum Gravity Quantization\
    of\
    String Theory\
     \
    I. Flat Target Space
---

Introduction {#s1}
============

String Theory (ST) [@1] and Loop Quantum Gravity (LQG) [@2] (see [@2a] for recent reviews) are currently the two major approaches towards a quantum theory of gravity. They are complementary in many senses. For example, in ST a central idea is the [*Unification of all Forces (UF)*]{} while in LQG the unification of the [*Background Independence (BI) Principle*]{} with 