@article{084de630903c46aea2c43a9f2b179204,

title = "Narain to Narnia",

abstract = "We generalize the holographic correspondence between topological gravity coupled to an abelian Chern–Simons theory in three dimensions and an ensemble average of Narain{\textquoteright}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.",

author = "Nathan Benjamin and Keller, {Christoph A.} and Hirosi Ooguri and Zadeh, {Ida G.}",

note = "Funding Information: We thank A. Adams, K. Bringmann, S. Collier, S. Kachru, T. Kohno, A. Maloney, J. Manschot, G. Moore, K. Motegi, K. Ono, B. Rayhaun, L. Rolen, M. Sakuma, and A. Yasuhara for very helpful discussions. We thank S. Collier, T. Hartman, and A. Maloney for very helpful comments on a draft. The work of N.B. is supported in part by the Simons Foundation Grant No. 488653. The work of C.A.K. is supported in part by the Simons Foundation Grant No. 629215. The work of H.O. is supported in part by U.S. Department of Energy grant DE-SC0011632, by the World Premier International Research Center Initiative, MEXT, Japan, by JSPS Grant-in-Aid for Scientific Research 17K05407 and 20K03965, and by JSPS Grant-in-Aid for Scientific Research on Innovative Areas 15H05895. H.O. thanks the Aspen Center for Theoretical Physics, which is supported by the National Science Foundation Grant PHY-1607611, where part of this work was done. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2021",

doi = "10.1007/s00220-021-04211-x",

language = "English (US)",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

}