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On rational points in CFT moduli spaces

Benjamin, Nathan and Keller, Christoph A. and Ooguri, Hirosi and Zadeh, Ida G. (2021) On rational points in CFT moduli spaces. Journal of High Energy Physics, 2021 (4). Art. No. 67. ISSN 1126-6708. doi:10.1007/JHEP04(2021)067.

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Motivated by the search for rational points in moduli spaces of two-dimensional conformal field theories, we investigate how points with enhanced symmetry algebras are distributed there. We first study the bosonic sigma-model with S1 target space in detail and uncover hitherto unknown features. We find for instance that the vanishing of the twist gap, though true for the S1 example, does not automatically follow from enhanced symmetry points being dense in the moduli space. We then explore the supersymmetric sigma-model on K3 by perturbing away from the torus orbifold locus. Though we do not reach a definite conclusion on the distribution of enhanced symmetry points in the K3 moduli space, we make several observations on how chiral currents can emerge and disappear under conformal perturbation theory.

Item Type:Article
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URLURL TypeDescription 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:© 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: January 10, 2021; Accepted: March 2, 2021; Published: April 8, 2021. We thank C. Bachas, D. Gepner, K. Narain, C. Vafa, and K. Wendland for interesting discussions. 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. N.B. and H.O. thank 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
Subject Keywords:Conformal Field Theory, Sigma Models
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Issue or Number:4
Record Number:CaltechAUTHORS:20201118-103403846
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Official Citation:Benjamin, N., Keller, C.A., Ooguri, H. et al. On rational points in CFT moduli spaces. J. High Energ. Phys. 2021, 67 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106721
Deposited By: Joy Painter
Deposited On:18 Nov 2020 18:52
Last Modified:09 Apr 2021 15:09

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