KdV charges in TTbar theories and new models with super-Hagedorn behavior
Two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the $T\bar{T}$ deformation and its generalizations. We determine the flow equations the KdV charges obey under the $T\bar{T}$ deformation: the...
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| Format: | Article |
| Language: | English |
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SciPost
2019-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.7.4.043 |
| _version_ | 1818018789825970176 |
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| author | Bruno Le Floch, Márk Mezei |
| author_facet | Bruno Le Floch, Márk Mezei |
| author_sort | Bruno Le Floch, Márk Mezei |
| collection | DOAJ |
| description | Two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the $T\bar{T}$ deformation and its generalizations. We determine the flow equations the KdV charges obey under the $T\bar{T}$ deformation: they behave as probes "riding the Burgers flow" of the energy eigenvalues. We also study a Lorentz-breaking $T_{s+1}\bar{T}$ deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states. |
| first_indexed | 2024-04-14T07:44:29Z |
| format | Article |
| id | doaj.art-a49e6eff4f1b41b59f4cdd26fc5ba3c7 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-04-14T07:44:29Z |
| publishDate | 2019-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-a49e6eff4f1b41b59f4cdd26fc5ba3c72022-12-22T02:05:24ZengSciPostSciPost Physics2542-46532019-10-017404310.21468/SciPostPhys.7.4.043KdV charges in TTbar theories and new models with super-Hagedorn behaviorBruno Le Floch, Márk MezeiTwo-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the $T\bar{T}$ deformation and its generalizations. We determine the flow equations the KdV charges obey under the $T\bar{T}$ deformation: they behave as probes "riding the Burgers flow" of the energy eigenvalues. We also study a Lorentz-breaking $T_{s+1}\bar{T}$ deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states.https://scipost.org/SciPostPhys.7.4.043 |
| spellingShingle | Bruno Le Floch, Márk Mezei KdV charges in TTbar theories and new models with super-Hagedorn behavior SciPost Physics |
| title | KdV charges in TTbar theories and new models with super-Hagedorn behavior |
| title_full | KdV charges in TTbar theories and new models with super-Hagedorn behavior |
| title_fullStr | KdV charges in TTbar theories and new models with super-Hagedorn behavior |
| title_full_unstemmed | KdV charges in TTbar theories and new models with super-Hagedorn behavior |
| title_short | KdV charges in TTbar theories and new models with super-Hagedorn behavior |
| title_sort | kdv charges in ttbar theories and new models with super hagedorn behavior |
| url | https://scipost.org/SciPostPhys.7.4.043 |
| work_keys_str_mv | AT brunoleflochmarkmezei kdvchargesinttbartheoriesandnewmodelswithsuperhagedornbehavior |