TT¯ type deformation in the presence of a boundary
We continue the study of a recently proposed solvable irrelevant deformation of an AdS3/CFT2 correspondence that leads in the UV to a theory with Hagedorn spectrum. This can be thought of as a single trace analog of the TT¯ -deformation of the dual CFT2. Here we focus on the deformed worldsheet theo...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n8_p_Babaro |
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todo:paper_11266708_v2018_n8_p_Babaro2023-10-03T16:07:44Z TT¯ type deformation in the presence of a boundary Babaro, J.P. Foit, V.F. Giribet, G. Leoni, M. AdS-CFT Correspondence Bosonic Strings Conformal Field Theory Sigma Models We continue the study of a recently proposed solvable irrelevant deformation of an AdS3/CFT2 correspondence that leads in the UV to a theory with Hagedorn spectrum. This can be thought of as a single trace analog of the TT¯ -deformation of the dual CFT2. Here we focus on the deformed worldsheet theory in presence of a conformal boundary. First, we compute the expectation value of a bulk primary operator on the disc geometry. We give a closed expression for such observable, from which we obtain the anomalous conformal dimension induced by the deformation. We compare the result with that coming from the computation of the 2-point correlation function on the sphere, finding exact agreement. We perform the computation using different techniques and making a comparative analysis of different regularization schemes to solve the logarithmically divergent integrals. This enables us to perform further consistency checks of our result by computing other observables of the deformed theory: we compute both the bulk-boundary 2-point and the boundary-boundary 2-point functions and are able to reproduce the anomalous dimensions of both boundary and bulk operators. © 2018, The Author(s). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n8_p_Babaro |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
AdS-CFT Correspondence Bosonic Strings Conformal Field Theory Sigma Models |
| spellingShingle |
AdS-CFT Correspondence Bosonic Strings Conformal Field Theory Sigma Models Babaro, J.P. Foit, V.F. Giribet, G. Leoni, M. TT¯ type deformation in the presence of a boundary |
| topic_facet |
AdS-CFT Correspondence Bosonic Strings Conformal Field Theory Sigma Models |
| description |
We continue the study of a recently proposed solvable irrelevant deformation of an AdS3/CFT2 correspondence that leads in the UV to a theory with Hagedorn spectrum. This can be thought of as a single trace analog of the TT¯ -deformation of the dual CFT2. Here we focus on the deformed worldsheet theory in presence of a conformal boundary. First, we compute the expectation value of a bulk primary operator on the disc geometry. We give a closed expression for such observable, from which we obtain the anomalous conformal dimension induced by the deformation. We compare the result with that coming from the computation of the 2-point correlation function on the sphere, finding exact agreement. We perform the computation using different techniques and making a comparative analysis of different regularization schemes to solve the logarithmically divergent integrals. This enables us to perform further consistency checks of our result by computing other observables of the deformed theory: we compute both the bulk-boundary 2-point and the boundary-boundary 2-point functions and are able to reproduce the anomalous dimensions of both boundary and bulk operators. © 2018, The Author(s). |
| format |
JOUR |
| author |
Babaro, J.P. Foit, V.F. Giribet, G. Leoni, M. |
| author_facet |
Babaro, J.P. Foit, V.F. Giribet, G. Leoni, M. |
| author_sort |
Babaro, J.P. |
| title |
TT¯ type deformation in the presence of a boundary |
| title_short |
TT¯ type deformation in the presence of a boundary |
| title_full |
TT¯ type deformation in the presence of a boundary |
| title_fullStr |
TT¯ type deformation in the presence of a boundary |
| title_full_unstemmed |
TT¯ type deformation in the presence of a boundary |
| title_sort |
tt¯ type deformation in the presence of a boundary |
| url |
http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n8_p_Babaro |
| work_keys_str_mv |
AT babarojp tttypedeformationinthepresenceofaboundary AT foitvf tttypedeformationinthepresenceofaboundary AT giribetg tttypedeformationinthepresenceofaboundary AT leonim tttypedeformationinthepresenceofaboundary |
| _version_ |
1807322238413701120 |