Discrete symmetries in the heterotic-string landscape

4th Symposium on Prospects in the Physics of Discrete Symmetries

Athanasopoulos, P.^1

Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool

L69 7ZL, United Kingdom^1

关键词: Conformal field theories;    Discrete symmetry;    Heterotic strings;    Spacetime;    Spinors;    The standard model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/631/1/012083/pdf
DOI  :  10.1088/1742-6596/631/1/012083

来源: IOP

【 摘 要 】

We describe a new type of discrete symmetry that relates heterotic-string models. It is based on the spectral flow operator which normally acts within a general N = (2, 2) model and we use this operator to construct a map between N = (2, 0) models. The landscape of N = (2, 0) models is of particular interest among all heterotic-string models for two important reasons: Firstly, N =1 spacetime SUSY requires (2, 0) superconformal invariance and secondly, models with the well motivated by the Standard Model SO(10) unification structure are of this type. This idea was inspired by a new discrete symmetry in the space of fermionic2×2heterotic-string models that exchanges the spinors and vectors of the SO(10) GUT group, dubbed spinor-vector duality. We will describe how to generalize this to arbitrary internal rational Conformal Field Theories.