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Narain to Narnia

Benjamin, Nathan and Keller, Christoph A. and Ooguri, Hirosi and Zadeh, Ida G. (2022) Narain to Narnia. Communications in Mathematical Physics, 390 (1). pp. 425-470. ISSN 0010-3616. doi:10.1007/s00220-021-04211-x.

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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. 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.

Item Type:Article
Related URLs:
URLURL TypeDescription ReadCube access Paper
Benjamin, Nathan0000-0003-3661-6563
Keller, Christoph A.0000-0003-2592-2012
Ooguri, Hirosi0000-0001-6021-3778
Zadeh, Ida G.0000-0002-8803-0823
Additional Information:© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021. Received 22 April 2021; Accepted 25 August 2021; Published 13 September 2021. 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.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation488653
Simons Foundation629215
Department of Energy (DOE)DE-SC0011632
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)17K05407
Japan Society for the Promotion of Science (JSPS)20K03965
Japan Society for the Promotion of Science (JSPS)15H05895
Issue or Number:1
Record Number:CaltechAUTHORS:20210408-122435918
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Official Citation:Benjamin, N., Keller, C.A., Ooguri, H. et al. Narain to Narnia. Commun. Math. Phys. 390, 425–470 (2022).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108659
Deposited By: Tony Diaz
Deposited On:09 Apr 2021 18:00
Last Modified:02 Mar 2022 18:20

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