OPE of line defects in 5d En SCFT
<p>5d ray index is the 5d superconformal index in the presence of a ray-like defect. An elementary ray defect flows to a fundamental Wilson ray in IR gauge theory. In 5d <span tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML&a...
Main Author: | |
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Format: | Journal article |
Language: | English |
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Springer
2022
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_version_ | 1797106356192280576 |
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author | Oh, J |
author_facet | Oh, J |
author_sort | Oh, J |
collection | OXFORD |
description | <p>5d ray index is the 5d superconformal index in the presence of a ray-like defect. An elementary ray defect flows to a fundamental Wilson ray in IR gauge theory. In 5d <span tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><mi class="MJX-tex-caligraphic" mathvariant="script">N</mi></mrow></math>">N</span> = 1 superconformal field theory(SCFT) with <em>E</em><sub><em>n</em></sub> global symmetry, we compute the ray index associated with an adjoint Wilson ray. We show that the operators that appear in the index are non-trivially charged under the center of the global symmetry <em>E</em><sub><em>n</em></sub>. The charge under the center being twice compared with the center charge carried by the elementary ray operator indicates a non-trivial OPE between the ray-like defects in the UV SCFT.</p> |
first_indexed | 2024-03-07T07:01:50Z |
format | Journal article |
id | oxford-uuid:f3a4dd8c-acc9-44c4-9d78-9c8848e6c1c1 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T07:01:50Z |
publishDate | 2022 |
publisher | Springer |
record_format | dspace |
spelling | oxford-uuid:f3a4dd8c-acc9-44c4-9d78-9c8848e6c1c12022-03-29T13:23:56ZOPE of line defects in 5d En SCFTJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f3a4dd8c-acc9-44c4-9d78-9c8848e6c1c1EnglishSymplectic ElementsSpringer2022Oh, J<p>5d ray index is the 5d superconformal index in the presence of a ray-like defect. An elementary ray defect flows to a fundamental Wilson ray in IR gauge theory. In 5d <span tabindex="0" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><mi class="MJX-tex-caligraphic" mathvariant="script">N</mi></mrow></math>">N</span> = 1 superconformal field theory(SCFT) with <em>E</em><sub><em>n</em></sub> global symmetry, we compute the ray index associated with an adjoint Wilson ray. We show that the operators that appear in the index are non-trivially charged under the center of the global symmetry <em>E</em><sub><em>n</em></sub>. The charge under the center being twice compared with the center charge carried by the elementary ray operator indicates a non-trivial OPE between the ray-like defects in the UV SCFT.</p> |
spellingShingle | Oh, J OPE of line defects in 5d En SCFT |
title | OPE of line defects in 5d En SCFT |
title_full | OPE of line defects in 5d En SCFT |
title_fullStr | OPE of line defects in 5d En SCFT |
title_full_unstemmed | OPE of line defects in 5d En SCFT |
title_short | OPE of line defects in 5d En SCFT |
title_sort | ope of line defects in 5d en scft |
work_keys_str_mv | AT ohj opeoflinedefectsin5denscft |