Four-twist effects and monodromy in symmetric orbifold CFTs

TL;DR

This paper investigates four-twist effects and monodromy in symmetric orbifold conformal field theories, revealing novel mixing between left and right movers caused by nontrivial monodromy on a genus-one surface.

Contribution

It uncovers a new mixing phenomenon between left and right movers during pair creation in symmetric orbifold CFTs due to monodromy effects.

Findings

Discovered mixing between left and right movers during pair creation.

Identified monodromy effects arising from genus-one covering surfaces.

Extended understanding of twist operator interactions in orbifold CFTs.

Abstract

Symmetric orbifold CFTs contain twist operators that can join and split copies of the CFT, leading to the creation of pairs from the vacuum. In this paper, we study the pair creation processes involving four twist-2 operators. In addition to the pair creation previously observed purely in the left or right moving sectors, we find a novel mixing between left and right movers during pair creation. This phenomenon arises from nontrivial monodromy conditions that originate from a genus-one covering surface, where left and right movers become coupled through the torus.