The stranger things of symmetric product orbifold CFTs
Abstract 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 symmet...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2022)054 |
| _version_ | 1797865741259636736 |
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| author | Nathan Benjamin Suzanne Bintanja Alejandra Castro Jildou Hollander |
| author_facet | Nathan Benjamin Suzanne Bintanja Alejandra Castro Jildou Hollander |
| author_sort | Nathan Benjamin |
| collection | DOAJ |
| description | Abstract 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 $$ \mathcal{N} $$ = 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. |
| first_indexed | 2024-04-09T23:13:03Z |
| format | Article |
| id | doaj.art-656485045961443fb64e223aa7dbda03 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:13:03Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-656485045961443fb64e223aa7dbda032023-03-22T10:15:02ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221113210.1007/JHEP11(2022)054The stranger things of symmetric product orbifold CFTsNathan Benjamin0Suzanne Bintanja1Alejandra Castro2Jildou Hollander3Walter Burke Institute for Theoretical Physics, California Institute of TechnologyInstitute for Theoretical Physics, University of AmsterdamInstitute for Theoretical Physics, University of AmsterdamInstitute for Theoretical Physics, University of AmsterdamAbstract 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 $$ \mathcal{N} $$ = 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.https://doi.org/10.1007/JHEP11(2022)054AdS-CFT CorrespondenceConformal and W Symmetry |
| spellingShingle | Nathan Benjamin Suzanne Bintanja Alejandra Castro Jildou Hollander The stranger things of symmetric product orbifold CFTs Journal of High Energy Physics AdS-CFT Correspondence Conformal and W Symmetry |
| title | The stranger things of symmetric product orbifold CFTs |
| title_full | The stranger things of symmetric product orbifold CFTs |
| title_fullStr | The stranger things of symmetric product orbifold CFTs |
| title_full_unstemmed | The stranger things of symmetric product orbifold CFTs |
| title_short | The stranger things of symmetric product orbifold CFTs |
| title_sort | stranger things of symmetric product orbifold cfts |
| topic | AdS-CFT Correspondence Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP11(2022)054 |
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