Hidden exceptional symmetry in the pure spinor superstring

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dc.contributor.authorEager, R.en
dc.contributor.authorLockhart, G.en
dc.contributor.authorSharpe, E.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2021-01-12T15:10:18Zen
dc.date.available2021-01-12T15:10:18Zen
dc.date.issued2020-01-06en
dc.description.abstractThe pure spinor formulation of superstring theory includes an interacting sector of central charge c(lambda) = 22, which can be realized as a curved beta gamma system on the cone over the orthogonal Grassmannian OG(+) (5,10). We find that the spectrum of the beta gamma system organizes into representations of the g = e(6) affine algebra at level -3, whose so(10)(-3) circle plus u(1)(-4) subalgebra encodes the rotational and ghost symmetries of the system. As a consequence, the pure spinor partition function decomposes as a sum of affine e(6) characters. We interpret this as an instance of a more general pattern of enhancements in curved beta gamma systems, which also includes the cases g = so(8) and e(7), corresponding to target spaces that are cones over the complex Grassmannian Gr(2, 4) and the complex Cayley plane OP2. We identify these curved beta gamma systems with the chiral algebras of certain two-dimensional (2D) (0,2) conformal field theories arising from twisted compactification of 4D N = 2 superconformal field theories on S-2.en
dc.description.notesWe would like to thank C. Beem, T. Creutzig, J. Distler, R. Donagi, I. Melnikov, M. Movshev, B. Pioline, I. Saberi, and J. Song for valuable discussions and correspondence. R. E. thanks the Korean Institute for Advanced Study for hospitality. The work of G. L. is supported by ERC starting Grant No. H2020 ERC StG #640159. The work of E. S. is partially supported by NSF Grant No. PHY-1720321.en
dc.description.sponsorshipERCEuropean Research Council (ERC) [640159]; NSFNational Science Foundation (NSF) [PHY-1720321]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1103/PhysRevD.101.026006en
dc.identifier.eissn2470-0029en
dc.identifier.issn2470-0010en
dc.identifier.issue2en
dc.identifier.other26006en
dc.identifier.urihttp://hdl.handle.net/10919/101853en
dc.identifier.volume101en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleHidden exceptional symmetry in the pure spinor superstringen
dc.title.serialPhysical Review Den
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.dcmitypeStillImageen

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