Target Space Duality of Non-Supersymmetric String Theory

TL;DR

This paper explores the T-duality groups of non-supersymmetric string models, revealing they are governed by congruence subgroups of the integer orthogonal group, and discusses how transitions between models are induced by these transformations.

Contribution

It demonstrates that T-duality groups of non-supersymmetric string models are determined by congruence conditions on $O(d_L,d_R,Z)$, advancing understanding of their symmetry structure.

Findings

T-duality groups are congruence subgroups of $O(d_L,d_R,Z)$.

Non-supersymmetric models are invariant under these subgroups.

Model transitions can be induced by $O(d_L,d_R,Z)$ transformations.

Abstract

T-dualities of the non-supersymmetric string models, which are constructed by twisted compactifications, are investigated. We show that the T-duality groups of such models are obtained by imposing congruence conditions on $O\left( d_{L},d_{R},\mathbb{Z}\right) $, that is, the non-supersymmetric string models are invariant under congruence subgroups of $O\left( d_{L},d_{R},\mathbb{Z}\right)$. We also point out that the transitions among the non-supersymmetric models can be induced by acting $O\left( d_{L},d_{R},\mathbb{Z}\right) $ transformations.