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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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02177323_v28_n6_p_Babaro http://hdl.handle.net/20.500.12110/paper_02177323_v28_n6_p_Babaro |
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paper:paper_02177323_v28_n6_p_Babaro2023-06-08T15:21:04Z On the description of surface operators in N = 2* sym Babaro, Juan Pablo Giribet, Gastón Enrique 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. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02177323_v28_n6_p_Babaro 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, Juan Pablo Giribet, Gastón Enrique 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. |
author |
Babaro, Juan Pablo Giribet, Gastón Enrique |
author_facet |
Babaro, Juan Pablo Giribet, Gastón Enrique |
author_sort |
Babaro, Juan Pablo |
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 |
publishDate |
2013 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02177323_v28_n6_p_Babaro http://hdl.handle.net/20.500.12110/paper_02177323_v28_n6_p_Babaro |
work_keys_str_mv |
AT babarojuanpablo onthedescriptionofsurfaceoperatorsinn2sym AT giribetgastonenrique onthedescriptionofsurfaceoperatorsinn2sym |
_version_ |
1768544908261457920 |