An exact symmetry in λ-deformed CFTs
Abstract We consider λ-deformed current algebra CFTs at level k, interpolating between an exact CFT in the UV and a PCM in the IR. By employing gravitational techniques, we derive the two-loop, in the large k expansion, β-function. We find that this is covariant under a remarkable exact symmetry inv...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)083 |
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| author | George Georgiou Eftychia Sagkrioti Konstantinos Sfetsos Konstantinos Siampos |
| author_facet | George Georgiou Eftychia Sagkrioti Konstantinos Sfetsos Konstantinos Siampos |
| author_sort | George Georgiou |
| collection | DOAJ |
| description | Abstract We consider λ-deformed current algebra CFTs at level k, interpolating between an exact CFT in the UV and a PCM in the IR. By employing gravitational techniques, we derive the two-loop, in the large k expansion, β-function. We find that this is covariant under a remarkable exact symmetry involving the coupling λ, the level k and the adjoint quadratic Casimir of the group. Using this symmetry and CFT techniques, we are able to compute the Zamolodchikov metric, the anomalous dimension of the bilinear operator and the Zamolodchikov C -function at two-loops in the large k expansion, as exact func- tions of the deformation parameter. Finally, we extend the above results to λ-deformed parafermionic algebra coset CFTs which interpolate between exact coset CFTs in the UV and a symmetric coset space in the IR. |
| format | Article |
| id | doaj-art-ab493c283ca14dbaaaca50c51f4049c7 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-ab493c283ca14dbaaaca50c51f4049c72025-01-26T12:11:26ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112110.1007/JHEP01(2020)083An exact symmetry in λ-deformed CFTsGeorge Georgiou0Eftychia Sagkrioti1Konstantinos Sfetsos2Konstantinos Siampos3Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of AthensDepartment of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of AthensDepartment of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of AthensDepartment of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of AthensAbstract We consider λ-deformed current algebra CFTs at level k, interpolating between an exact CFT in the UV and a PCM in the IR. By employing gravitational techniques, we derive the two-loop, in the large k expansion, β-function. We find that this is covariant under a remarkable exact symmetry involving the coupling λ, the level k and the adjoint quadratic Casimir of the group. Using this symmetry and CFT techniques, we are able to compute the Zamolodchikov metric, the anomalous dimension of the bilinear operator and the Zamolodchikov C -function at two-loops in the large k expansion, as exact func- tions of the deformation parameter. Finally, we extend the above results to λ-deformed parafermionic algebra coset CFTs which interpolate between exact coset CFTs in the UV and a symmetric coset space in the IR.https://doi.org/10.1007/JHEP01(2020)083Conformal Field Models in String TheoryDiscrete SymmetriesRenormal- ization GroupSigma Models |
| spellingShingle | George Georgiou Eftychia Sagkrioti Konstantinos Sfetsos Konstantinos Siampos An exact symmetry in λ-deformed CFTs Journal of High Energy Physics Conformal Field Models in String Theory Discrete Symmetries Renormal- ization Group Sigma Models |
| title | An exact symmetry in λ-deformed CFTs |
| title_full | An exact symmetry in λ-deformed CFTs |
| title_fullStr | An exact symmetry in λ-deformed CFTs |
| title_full_unstemmed | An exact symmetry in λ-deformed CFTs |
| title_short | An exact symmetry in λ-deformed CFTs |
| title_sort | exact symmetry in λ deformed cfts |
| topic | Conformal Field Models in String Theory Discrete Symmetries Renormal- ization Group Sigma Models |
| url | https://doi.org/10.1007/JHEP01(2020)083 |
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