| Autor: |
Stephen Ebert, Christian Ferko, Hao-Yu Sun, Zhengdi Sun |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
SciPost Physics, Vol 13, Iss 4, p 096 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2542-4653 |
| DOI: |
10.21468/SciPostPhys.13.4.096 |
| Popis: |
JT gravity has a first-order formulation as a two-dimensional BF theory, which can be viewed as the dimensional reduction of the Chern-Simons description of $3d$ gravity. We consider $T\bar{T}$-type deformations of the $(0+1)$-dimensional dual to this $2d$ BF theory and interpret the deformation as a modification of the BF theory boundary conditions. The fundamental observables in this deformed BF theory, and in its $3d$ Chern-Simons lift, are Wilson lines and loops. In the $3d$ Chern-Simons setting, we study modifications to correlators involving boundary-anchored Wilson lines which are induced by a $T\bar{T}$ deformation on the $2d$ boundary; results are presented at both the classical level (using modified boundary conditions) and the quantum-mechanical level (using conformal perturbation theory). Finally, we calculate the analogous deformed Wilson line correlators in $2d$ BF theory below the Hagedorn temperature where the principal series dominates over the discrete series. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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