On the description of surface operators in N = 2* sym

Alday and Tachikawa [Lett. Math. Phys. 94, 87 (2010)] observed that the Nekrasov partition function of N = 2 SU(2) superconformal gauge theories in the presence of fundamental surface operators can be associated to conformal blocks of a 2D CFT with affine sl(2) symmetry. This can be interpreted as t...

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Autores principales: Babaro, J.P., Giribet, G.
Formato: JOUR
Materias:
Conformal field theory
gauge theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02177323_v28_n6_p_Babaro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_02177323_v28_n6_p_Babaro2023-10-03T15:10:28Z On the description of surface operators in N = 2* sym Babaro, J.P. Giribet, G. Conformal field theory gauge theory Alday and Tachikawa [Lett. Math. Phys. 94, 87 (2010)] observed that the Nekrasov partition function of N = 2 SU(2) superconformal gauge theories in the presence of fundamental surface operators can be associated to conformal blocks of a 2D CFT with affine sl(2) symmetry. This can be interpreted as the insertion of a fundamental surface operator changing the conformal symmetry from the Virasoro symmetry discovered in Ref. 2 to the affine Kac-Moody symmetry. A natural question arises as to how such a 2D CFT description can be extended to the case of non-fundamental surface operators. Motivated by this question, we review the results [Y. Hikida and V. Schomerus, JHEP 0710, 064 (2007); S. Ribault, JHEP 0805, 073 (2008)] and put them together to suggest a way to address the problem: It follows from this analysis that the expectation value of a non-fundamental surface operator in the SU(2) N = 2z.ast; super Yang-Mills (YM) theory would be in correspondence with the expectation value of a single vertex operator in a two-dimensional CFT with reduced affine symmetry and whose central charge is parametrized by the integer number that labels the type of singularity of the surface operator. © 2013 World Scientific Publishing Company. 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_02177323_v28_n6_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 field theory
gauge theory
spellingShingle Conformal field theory
gauge theory
Babaro, J.P.
Giribet, G.
On the description of surface operators in N = 2* sym
topic_facet Conformal field theory
gauge theory
description Alday and Tachikawa [Lett. Math. Phys. 94, 87 (2010)] observed that the Nekrasov partition function of N = 2 SU(2) superconformal gauge theories in the presence of fundamental surface operators can be associated to conformal blocks of a 2D CFT with affine sl(2) symmetry. This can be interpreted as the insertion of a fundamental surface operator changing the conformal symmetry from the Virasoro symmetry discovered in Ref. 2 to the affine Kac-Moody symmetry. A natural question arises as to how such a 2D CFT description can be extended to the case of non-fundamental surface operators. Motivated by this question, we review the results [Y. Hikida and V. Schomerus, JHEP 0710, 064 (2007); S. Ribault, JHEP 0805, 073 (2008)] and put them together to suggest a way to address the problem: It follows from this analysis that the expectation value of a non-fundamental surface operator in the SU(2) N = 2z.ast; super Yang-Mills (YM) theory would be in correspondence with the expectation value of a single vertex operator in a two-dimensional CFT with reduced affine symmetry and whose central charge is parametrized by the integer number that labels the type of singularity of the surface operator. © 2013 World Scientific Publishing Company.
format JOUR
author Babaro, J.P.
Giribet, G.
author_facet Babaro, J.P.
Giribet, G.
author_sort Babaro, J.P.
title On the description of surface operators in N = 2* sym
title_short On the description of surface operators in N = 2* sym
title_full On the description of surface operators in N = 2* sym
title_fullStr On the description of surface operators in N = 2* sym
title_full_unstemmed On the description of surface operators in N = 2* sym
title_sort on the description of surface operators in n = 2* sym
url http://hdl.handle.net/20.500.12110/paper_02177323_v28_n6_p_Babaro
work_keys_str_mv AT babarojp onthedescriptionofsurfaceoperatorsinn2sym
AT giribetg onthedescriptionofsurfaceoperatorsinn2sym
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