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 |
| Summary: | 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. |
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| ISSN: | 2542-4653 |