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dc.contributor.authorSimmons-Duffin, David
dc.contributor.authorYin, Xi
dc.contributor.authorLin, YingHsuan
dc.contributor.authorShao, Shu-Heng
dc.contributor.authorWang, Yifan
dc.date.accessioned2017-06-15T17:15:02Z
dc.date.available2017-06-15T17:15:02Z
dc.date.issued2017-05
dc.date.submitted2017-04
dc.identifier.issn1029-8479
dc.identifier.urihttp://hdl.handle.net/1721.1/109893
dc.description.abstractWe study two-dimensional (4, 4) superconformal field theories of central charge c = 6, corresponding to nonlinear sigma models on K[subscript 3] surfaces, using the superconformal bootstrap. This is made possible through a surprising relation between the BPS N = 4 superconformal blocks with c = 6 and bosonic Virasoro conformal blocks with c = 28, and an exact result on the moduli dependence of a certain integrated BPS 4-point function. Nontrivial bounds on the non-BPS spectrum in the K[subscript 3] CFT are obtained as functions of the CFT moduli, that interpolate between the free orbifold points and singular CFT points. We observe directly from the CFT perspective the signature of a continuous spectrum above a gap at the singular moduli, and find numerically an upper bound on this gap that is saturated by the A[subscript 1]N = 4 cigar CFT. We also derive an analytic upper bound on the first nonzero eigenvalue of the scalar Laplacian on K3 in the large volume regime, that depends on the K3 moduli data. As two byproducts, we find an exact equivalence between a class of BPS N = 2 superconformal blocks and Virasoro conformal blocks in two dimensions, and an upper bound on the four-point functions of operators of sufficiently low scaling dimension in three and four dimensional CFTs.en_US
dc.publisherSpringer Berlin Heidelbergen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/JHEP05(2017)126en_US
dc.rightsCreative Commons Attributionen_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en_US
dc.sourceSpringer Berlin Heidelbergen_US
dc.titleN = 4 superconformal bootstrap of the K[subscript 3] CFTen_US
dc.typeArticleen_US
dc.identifier.citationLin, Ying-Hsuan et al. "N = 4 superconformal bootstrap of the K[subscript 3] CFT." Journal of High Energy Physics 2017 (May 2017): 126-176 © 2017 The Authorsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.contributor.mitauthorLin, YingHsuan
dc.contributor.mitauthorShao, Shu-Heng
dc.contributor.mitauthorWang, Yifan
dc.relation.journalJournal of High Energy Physicsen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2017-05-25T04:44:13Z
dc.language.rfc3066en
dc.rights.holderThe Author(s)
dspace.orderedauthorsLin, Ying-Hsuan; Shao, Shu-Heng; Simmons-Duffin, David; Wang, Yifan; Yin, Xien_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-9965-9777
mit.licensePUBLISHER_CCen_US


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