T-symmetry in String Geometry Theory

TL;DR

This paper demonstrates that string geometry theory exhibits T-symmetry, which includes known T-duality between type IIA and IIB vacua and reveals a new non-perturbative symmetry in string geometry time.

Contribution

It shows that dimensionally reduced string geometry theories possess T-symmetry, extending the understanding of dualities beyond perturbative string theory.

Findings

T-symmetry relates type IIA and IIB vacua via T-duality.

A new T-symmetry in string geometry time is identified.

The symmetry is present in dimensionally reduced string geometry theories.

Abstract

String geometry theory is one of the candidates of non-perturbative formulation of string theory. In this paper, we have shown that dimensionally reduced string geometry theories have what we call T-symmetry. In case of the dimensional reduction in space-like directions, the T-symmetry transformation gives the T-dual transformation between the type IIA and IIB perturbative vacua. In case of the dimensional reduction in the direction of string geometry time $\bar{\tau}$, the T-symmetry transformation is independent of the T-dual transformation, and gives a symmetry that cannot be seen in the perturbative string theories.