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The stranger things of symmetric product orbifold CFTs

Benjamin, Nathan and Bintanja, Suzanne and Castro, Alejandra and Hollander, Jildou (2022) The stranger things of symmetric product orbifold CFTs. Journal of High Energy Physics, 2022 (11). Art. No. 54. ISSN 1029-8479. doi:10.1007/jhep11(2022)054.

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Symmetric product orbifold theories are valuable due to their universal features at large N. Here we will demonstrate that they have features that are not as pervasive: we provide evidence of strange behaviour under deformations within their moduli space. To this end, we consider the symmetric product orbifold of tensor products of N = 2 super-Virasoro minimal models, and classify them according to two criteria. The first criterion is the existence of a single-trace twisted exactly marginal operator that triggers the deformation. The second criterion is a sparseness condition on the growth of light states in the elliptic genera. In this context we encounter a strange variety: theories that obey the first criterion but the second criterion falls into a Hagedorn-like growth. We explain why this may be counter-intuitive and discuss how it might be accounted for in conformal perturbation theory. We also find a new infinite class of theories that obey both criteria, which are necessary conditions for each moduli space to contain a supergravity point.

Item Type:Article
Related URLs:
URLURL TypeDescription
Benjamin, Nathan0000-0003-3661-6563
Bintanja, Suzanne0000-0003-4444-7624
Castro, Alejandra0000-0003-1485-8393
Additional Information:We thank Ahmed Almheiri, Luis Apolo, Alex Belin, Shamit Kachru, and Christoph Keller for interesting discussions, and collaborations on related topics. The work of SB, AC and JH is supported by the Delta ITP consortium, a program of the Netherlands Organisation for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW). The work of NB is supported by the Sherman Fairchild Foundation and the U.S. Department of Energy, Office of Science, Office of High Energy Physics Award Number DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO)UNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Issue or Number:11
Record Number:CaltechAUTHORS:20221128-494241100.13
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:118057
Deposited By: Research Services Depository
Deposited On:07 Dec 2022 16:59
Last Modified:07 Dec 2022 16:59

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