Emergence of non-abelian gauge theories and the ER-EPR duality

Abstract

Making use of the emergence of an entangling gate from the Mayer Vietoris maps generating a torus and employing the correspondence between quantum error correction codes and gauge symmetries I show that non-abelian gauge theories are related to the existence of entanglement. This observation is based on the fact that string compactification on a torus provide non-trivial fluxes (gaugings) when the twists are chosen such that the obtained torus matches the maps arising in the Mayer-Vietoris theorem which result in entangling gates. This observation adds new indications towards the fact that low energy non-abelian gauge theories emerge from entanglement related phenomena.