States, symmetries and correlators of $T\bar{T}$ and $ J\bar{T} $ symmetric orbifolds
We derive various properties of symmetric product orbifolds of $T\bar T$ and $J\bar T$ - deformed CFTs from a field-theoretical perspective. First, we generalise the known formula for the torus partition function of a symmetric orbifold theory in terms of the one of the seed to non-conformal two-dim...
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| Format: | Article |
| Language: | English |
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SciPost
2024-01-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.16.1.011 |
| _version_ | 1797358096673144832 |
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| author | Soumangsu Chakraborty, Silvia Georgescu, Monica Guica |
| author_facet | Soumangsu Chakraborty, Silvia Georgescu, Monica Guica |
| author_sort | Soumangsu Chakraborty, Silvia Georgescu, Monica Guica |
| collection | DOAJ |
| description | We derive various properties of symmetric product orbifolds of $T\bar T$ and $J\bar T$ - deformed CFTs from a field-theoretical perspective. First, we generalise the known formula for the torus partition function of a symmetric orbifold theory in terms of the one of the seed to non-conformal two-dimensional QFTs; specialising this to seed $T\bar T$ and $J\bar T$ - deformed CFTs reproduces previous results in the literature. Second, we show that the single-trace $T\bar T$ and $J\bar T$ deformations preserve the Virasoro and Kac-Moody symmetries of the undeformed symmetric product orbifold CFT, including their fractional counterparts, as well as the KdV charges. Finally, we discuss correlation functions in these theories. By extending a previously-proposed basis of operators for $J\bar T$ - deformed CFTs to the single-trace case, we explicitly compute the correlation functions of both untwisted and twisted-sector operators and compare them to an appropriate set of holographic correlators. Our derivations are based mainly on Hilbert space techniques and completely avoid the use of conformal invariance, which is not present in these models. |
| first_indexed | 2024-03-08T14:54:52Z |
| format | Article |
| id | doaj.art-f7a9759b473f4ed69cb71d3e72748a2b |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-08T14:54:52Z |
| publishDate | 2024-01-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-f7a9759b473f4ed69cb71d3e72748a2b2024-01-10T16:05:32ZengSciPostSciPost Physics2542-46532024-01-0116101110.21468/SciPostPhys.16.1.011States, symmetries and correlators of $T\bar{T}$ and $ J\bar{T} $ symmetric orbifoldsSoumangsu Chakraborty, Silvia Georgescu, Monica GuicaWe derive various properties of symmetric product orbifolds of $T\bar T$ and $J\bar T$ - deformed CFTs from a field-theoretical perspective. First, we generalise the known formula for the torus partition function of a symmetric orbifold theory in terms of the one of the seed to non-conformal two-dimensional QFTs; specialising this to seed $T\bar T$ and $J\bar T$ - deformed CFTs reproduces previous results in the literature. Second, we show that the single-trace $T\bar T$ and $J\bar T$ deformations preserve the Virasoro and Kac-Moody symmetries of the undeformed symmetric product orbifold CFT, including their fractional counterparts, as well as the KdV charges. Finally, we discuss correlation functions in these theories. By extending a previously-proposed basis of operators for $J\bar T$ - deformed CFTs to the single-trace case, we explicitly compute the correlation functions of both untwisted and twisted-sector operators and compare them to an appropriate set of holographic correlators. Our derivations are based mainly on Hilbert space techniques and completely avoid the use of conformal invariance, which is not present in these models.https://scipost.org/SciPostPhys.16.1.011 |
| spellingShingle | Soumangsu Chakraborty, Silvia Georgescu, Monica Guica States, symmetries and correlators of $T\bar{T}$ and $ J\bar{T} $ symmetric orbifolds SciPost Physics |
| title | States, symmetries and correlators of $T\bar{T}$ and $ J\bar{T} $ symmetric orbifolds |
| title_full | States, symmetries and correlators of $T\bar{T}$ and $ J\bar{T} $ symmetric orbifolds |
| title_fullStr | States, symmetries and correlators of $T\bar{T}$ and $ J\bar{T} $ symmetric orbifolds |
| title_full_unstemmed | States, symmetries and correlators of $T\bar{T}$ and $ J\bar{T} $ symmetric orbifolds |
| title_short | States, symmetries and correlators of $T\bar{T}$ and $ J\bar{T} $ symmetric orbifolds |
| title_sort | states symmetries and correlators of t bar t and j bar t symmetric orbifolds |
| url | https://scipost.org/SciPostPhys.16.1.011 |
| work_keys_str_mv | AT soumangsuchakrabortysilviageorgescumonicaguica statessymmetriesandcorrelatorsoftbartandjbartsymmetricorbifolds |