Vanishing OPE coefficients in 4d N=2 SCFTs

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dc.contributor.authorAgarwal, Praritko
dc.contributor.authorLee, Sungjayko
dc.contributor.authorSong, Jaewonko
dc.date.accessioned2020-04-23T07:20:06Z-
dc.date.available2020-04-23T07:20:06Z-
dc.date.created2020-04-23-
dc.date.created2020-04-23-
dc.date.created2020-04-23-
dc.date.created2020-04-23-
dc.date.created2020-04-23-
dc.date.created2020-04-23-
dc.date.created2020-04-23-
dc.date.issued2019-06-
dc.identifier.citationJOURNAL OF HIGH ENERGY PHYSICS, no.06-
dc.identifier.issn1029-8479-
dc.identifier.urihttp://hdl.handle.net/10203/273992-
dc.description.abstractWe compute the superconformal characters of various short multiplets in 4d N=2 superconformal algebra, from which selection rules for operator products are obtained. Combining with the superconformal index, we show that a particular short multiplet appearing in the n-fold product of stress-tensor multiplet is absent in the (A(1), A(2n)) Argyres-Douglas (AD) theory. This implies that certain operator product expansion (OPE) coefficients involving this multiplet vanish whenever the central charge c is identical to that of the AD theory. Similarly, by considering the n-th power of the current multiplet, we show that a particular short multiplet and OPE coefficients vanish for a class of AD theories with ADE flavor symmetry. We also consider the generalized AD theory of type (A(k-1), A(n-1)) for coprime k, n and compute its Macdonald index using the associated W -algebra under a mild assumption. This allows us to show that a number of short multiplets and OPE coefficients vanish in this theory. We also provide a Mathematica file along with this paper, where we implement the algorithm by Cordova-Dumitrescu-Intriligator to compute the spectrum of 4dN=2 superconformal multiplets as well as their superconformal character.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.titleVanishing OPE coefficients in 4d N=2 SCFTs-
dc.typeArticle-
dc.identifier.wosid000472522900001-
dc.identifier.scopusid2-s2.0-85067624271-
dc.type.rimsART-
dc.citation.issue06-
dc.citation.publicationnameJOURNAL OF HIGH ENERGY PHYSICS-
dc.identifier.doi10.1007/JHEP06(2019)102-
dc.contributor.localauthorSong, Jaewon-
dc.contributor.nonIdAuthorAgarwal, Prarit-
dc.contributor.nonIdAuthorLee, Sungjay-
dc.description.isOpenAccessY-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorConformal and W Symmetry-
dc.subject.keywordAuthorConformal Field Theory-
dc.subject.keywordAuthorExtended Supersymmetry-
dc.subject.keywordPlusREPRESENTATIONS-
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