On the rationality and the code structure of a Narain CFT, and the simple current orbifold

Author:

Furuta YumaORCID

Abstract

Abstract In this paper, we discuss the simple current orbifold of a rational Narain CFT (Narain RCFT). This is a method of constructing other rational CFTs from a given rational CFT, by ‘orbifolding’ the global symmetry formed by a particular primary fields (called the simple current). Our main result is that a Narain RCFT satisfying certain conditions can be described in the form of a simple current orbifold of another Narain RCFT, and we have shown how the discrete torsion in taking that orbifold is obtained. Additionally, the partition function can be considered a simple current orbifold with discrete torsion, which is determined by the lattice and the B-field. We establish that the partition function can be expressed as a polynomial, with the variables substituted by certain q-series. In a specific scenario, this polynomial corresponds to the weight enumerator polynomial of an error-correcting code. Using this correspondence to the code theory, we can relate the B-field, the discrete torsion, and the B-form to each other.

Funder

Japan Society for the Promotion of Science

JST the establishment of university fellowship towards the creation of science technology innovation

Publisher

IOP Publishing

Reference22 articles.

1. Free partition functions and an averaged holographic duality;Afkhami-Jeddi;J. High Energy Phys.,2021

2. Holographic description of Narain CFTs and their code-based ensembles;Aharony,2023

3. Optimal Narain CFTs from codes;Angelinos;J. High Energy Phys.,2022

4. Chern-Simons invariants from ensemble averages;Ashwinkumar;J. High Energy Phys.,2021

5. Quantum codes, CFTs and defects;Buican,2021

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