Speaker
Panos Athanasopoulos
Description
We describe a new type of discrete symmetry that relates heterotic-string models. It is based on the spectral flow operator which is normally acting within a general $\cal N=(2,2)$ model. We use this operator to construct a map between $\cal N=(2,0)$ models. The landscape of $\cal N=(2,0)$ models is of particular interest among all heterotic-string models for two important reasons:
1. $N=1$ spacetime SUSY requires $(2,0)$ superconformal invariance and
2. models with the minimal $SO(10)$ unification structure, which is well motivated by the Standard Model of particle physics data, are of this type.
This idea was inspired by a new discrete symmetry in the space of fermionic $Z_2\times Z_2$ heterotic-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 (RCFTs).
