Narain to Narnia

Benjamin, Nathan; Keller, Christoph A.; Ooguri, Hirosi; Zadeh, Ida G.

doi:10.1007/s00220-021-04211-x

Title: Narain to Narnia

Journal Article · 13 September 2021 · Communications in Mathematical Physics

DOI: https://doi.org/10.1007/s00220-021-04211-x · OSTI ID:1901953

^[1]; Keller, Christoph A. ^[2]; Ooguri, Hirosi ^[3]; Zadeh, Ida G. ^[4]

Princeton Univ., NJ (United States); California Institute of Technology
Univ. of Arizona, Tucson, AZ (United States)
California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of Tokyo, Kashiwa (Japan)
International Centre for Theoretical Physics, Trieste (Italy)

We 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. Here, 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.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE; Simons Foundation; National Science Foundation (NSF)

Grant/Contract Number:: SC0011632

OSTI ID:: 1901953

Journal Information:: Communications in Mathematical Physics, Journal Name: Communications in Mathematical Physics Journal Issue: 1 Vol. 390; ISSN 0010-3616

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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