Vanishing OPE coefficients in 4d N=2 SCFTs

Cited 10 time in webofscience Cited 0 time in scopus
  • Hit : 298
  • Download : 26
DC FieldValueLanguage
dc.contributor.authorAgarwal, Praritko
dc.contributor.authorLee, Sungjayko
dc.contributor.authorSong, Jaewonko
dc.identifier.citationJOURNAL OF HIGH ENERGY PHYSICS, no.06-
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.titleVanishing OPE coefficients in 4d N=2 SCFTs-
dc.citation.publicationnameJOURNAL OF HIGH ENERGY PHYSICS-
dc.contributor.localauthorSong, Jaewon-
dc.contributor.nonIdAuthorAgarwal, Prarit-
dc.contributor.nonIdAuthorLee, Sungjay-
dc.subject.keywordAuthorConformal and W Symmetry-
dc.subject.keywordAuthorConformal Field Theory-
dc.subject.keywordAuthorExtended Supersymmetry-
Appears in Collection
PH-Journal Papers(저널논문)
Files in This Item
114258.pdf(477.75 kB)Download
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 10 items in WoS Click to see citing articles in records_button


  • mendeley


rss_1.0 rss_2.0 atom_1.0