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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Detalles Bibliográficos
Publicado: 2018
Materias:
AdS-CFT Correspondence
Bosonic Strings
Conformal Field Theory
Sigma Models
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n8_p_Babaro
http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n8_p_Babaro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2018_n8_p_Babaro
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spelling paper:paper_11266708_v2018_n8_p_Babaro2023-06-08T16:09:00Z TT¯ type deformation in the presence of a boundary 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). 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n8_p_Babaro 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
collection 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
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).
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
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2018_n8_p_Babaro
http://hdl.handle.net/20.500.12110/paper_11266708_v2018_n8_p_Babaro
_version_ 1768544193603436544

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