Year: 2026
Type: preprint
Abstract: The code $\{000,220,202,022\}\subset\mathbb{Z}_4^3$ realizes the split $A_3$ root-weight gluing construction as ordinary Construction A, preserving the Lorentzian pairing and the positive energy form. For two hyperbolic pairs of $A_3$ blocks, the twenty-two even self-dual gluing codes form seven block-monomial classes. Explicit metric and $B$-field representatives and theta series distinguish exactly seven T-duality classes in this family at central charge six; the one-pair family has two classes at central charge three. For arbitrary $d$, the chiral root system on either side is $A_1^{3m}$, where $m$ counts the words $(2e_i,2e_i)$ in the gluing code. Exactly one two-pair class has no zero-$B$ T-duality frame. Intersections of gluing codes determine finite shift orbifolds between the backgrounds, with the target code specifying the twisted-sector projections.
Source: arXiv (Cornell University)
Authors: Sammani, Rajae, Sebbar, Abdellah
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223068643