Disk one-point function for a family of non-rational conformal theories

We consider an infinite family of non-rational conformal field theories in the presence of a conformal boundary. These theories, which have been recently proposed in [1], are parameterized by two real numbers (b,m) in such a way that the corresponding central charges c (b,m) are given by c (b,m) = 3...

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Autores principales: Babaro, J.P., Giribet, G.
Formato: JOUR
Materias:
Conformal and W symmetry
Conformal field models in string theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n9_p_Babaro
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_11266708_v2010_n9_p_Babaro
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spelling todo:paper_11266708_v2010_n9_p_Babaro2023-10-03T16:06:45Z Disk one-point function for a family of non-rational conformal theories Babaro, J.P. Giribet, G. Conformal and W symmetry Conformal field models in string theory We consider an infinite family of non-rational conformal field theories in the presence of a conformal boundary. These theories, which have been recently proposed in [1], are parameterized by two real numbers (b,m) in such a way that the corresponding central charges c (b,m) are given by c (b,m) = 3+6(b+b -1(1-m)) 2. For the disk geometry, we explicitly compute the expectation value of a bulk vertex operator in the case m ∈ ℤ, such that the result reduces to the Liouville one-point function when m = 0. We perform the calculation of the disk one-point function in two different ways, obtaining results in perfect agreement, and giving the details of both the path integral and the free field derivations. © SISSA 2010. Fil:Babaro, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n9_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 Conformal and W symmetry
Conformal field models in string theory
spellingShingle Conformal and W symmetry
Conformal field models in string theory
Babaro, J.P.
Giribet, G.
Disk one-point function for a family of non-rational conformal theories
topic_facet Conformal and W symmetry
Conformal field models in string theory
description We consider an infinite family of non-rational conformal field theories in the presence of a conformal boundary. These theories, which have been recently proposed in [1], are parameterized by two real numbers (b,m) in such a way that the corresponding central charges c (b,m) are given by c (b,m) = 3+6(b+b -1(1-m)) 2. For the disk geometry, we explicitly compute the expectation value of a bulk vertex operator in the case m ∈ ℤ, such that the result reduces to the Liouville one-point function when m = 0. We perform the calculation of the disk one-point function in two different ways, obtaining results in perfect agreement, and giving the details of both the path integral and the free field derivations. © SISSA 2010.
format JOUR
author Babaro, J.P.
Giribet, G.
author_facet Babaro, J.P.
Giribet, G.
author_sort Babaro, J.P.
title Disk one-point function for a family of non-rational conformal theories
title_short Disk one-point function for a family of non-rational conformal theories
title_full Disk one-point function for a family of non-rational conformal theories
title_fullStr Disk one-point function for a family of non-rational conformal theories
title_full_unstemmed Disk one-point function for a family of non-rational conformal theories
title_sort disk one-point function for a family of non-rational conformal theories
url http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n9_p_Babaro
work_keys_str_mv AT babarojp diskonepointfunctionforafamilyofnonrationalconformaltheories
AT giribetg diskonepointfunctionforafamilyofnonrationalconformaltheories
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