AffiliationDepartment of Mathematics, University of Arizona
MetadataShow full item record
PublisherSpringer Science and Business Media LLC
CitationBenjamin, N., Keller, C. A., Ooguri, H., & Zadeh, I. G. (2021). Narain to Narnia. Communications in Mathematical Physics.
Rights© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractWe generalize the holographic correspondence between topological gravity coupled to an abelian Chern–Simons theory in three dimensions and an ensemble average of Narain’s family of massless free bosons in two dimensions, discovered by Afkhami-Jeddi et al. and by Maloney and Witten. We find that the correspondence also works for toroidal orbifolds but not for K3 or Calabi–Yau sigma-models and not always for the minimal models. We conjecture that the correspondence requires that the central charge is equal to the critical central charge defined by the asymptotic density of states of the chiral algebra. For toroidal orbifolds, we extend the holographic correspondence to correlation functions of twist operators by using topological properties of rational tangles in the three-dimensional ball, which represent configurations of vortices associated to a discrete gauge symmetry.
Note12 month embargo; published: 13 September 2021
VersionFinal accepted manuscript