Cyclic Coset Orbifolds

TL;DR

This paper explores cyclic coset orbifolds, detailing their structure, twisted sectors, and conformal properties, with explicit calculations for their stress tensors and ground state weights, advancing understanding of orbifold dualities.

Contribution

It provides a detailed analysis of interacting cyclic coset orbifolds, including explicit formulas for stress tensors, ground state weights, and the structure of twisted operators, which was not previously known.

Findings

Explicit stress tensor formulas for cyclic coset orbifolds

Ground state conformal weights calculated for various sectors

Systematic understanding of twisted (0,0) operators in coset orbifolds

Abstract

We apply the new orbifold duality transformations to discuss the special case of cyclic coset orbifolds in further detail. We focus in particular on the case of the interacting cyclic coset orbifolds, whose untwisted sectors are Z_\lambda(permutation)-invariant g/h coset constructions which are not \lambda copies of coset constructions. Because \lambda copies are not involved, the action of Z_\lambda(permutation) in the interacting cyclic coset orbifolds can be quite intricate. The stress tensors and ground state conformal weights of all the sectors of a large class of these orbifolds are given explicitly and special emphasis is placed on the twisted h subalgebras which are generated by the twisted (0,0) operators of these orbifolds. We also discuss the systematics of twisted (0,0) operators in general coset orbifolds.