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&nbsp;<span tabindex="0" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&a...

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Main Author: Oh, J
Format: Journal article
Language:English
Published: Springer 2022
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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&nbsp;<span tabindex="0" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mi class=&quot;MJX-tex-caligraphic&quot; mathvariant=&quot;script&quot;&gt;N&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;">N</span>&nbsp;= 1 superconformal field theory(SCFT) with&nbsp;<em>E</em><sub><em>n</em></sub>&nbsp;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&nbsp;<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>
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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&nbsp;<span tabindex="0" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;&lt;mi class=&quot;MJX-tex-caligraphic&quot; mathvariant=&quot;script&quot;&gt;N&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;">N</span>&nbsp;= 1 superconformal field theory(SCFT) with&nbsp;<em>E</em><sub><em>n</em></sub>&nbsp;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&nbsp;<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