Chiral operators in two-dimensional (0,2) theories and a test of triality

Simple item page
dc.contributor.authorGuo, Jiruien
dc.contributor.authorJia, Beien
dc.contributor.authorSharpe, Eric R.en
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-03-05T17:14:41Zen
dc.date.available2019-03-05T17:14:41Zen
dc.date.issued2015-06-30en
dc.description.abstractIn this paper we compute spaces of chiral operators in general two-dimensional (0,2) nonlinear sigma models, both in theories twistable to the A/2 or B/2 model, as well as in non-twistable theories, and apply them to check recent duality conjectures. The fact that in a nonlinear sigma model, the Fock vacuum can act as a section of a line bundle on the target space plays a crucial role in our (0,2) computations, so we begin with a review of this property. We also take this opportunity to show how even in (2,2) theories, the Fock vacuum encodes in this way choices of target space spin structures, and discuss how such choices enter the A and B model topological field theories. We then compute chiral operators in general (0,2) nonlinear sigma models, and apply them to the recent Gadde-Gukov-Putrov triality proposal, which says that certain triples of (0,2) GLSMs should RG flow to nontrivial IR fixed points. We find that different UV theories in the same proposed universality class do not necessarily have the same space of chiral operators - but, the mismatched operators do not contribute to elliptic genera and are in non-integrable representations of the proposed IR affine symmetry groups, suggesting that the mismatched states become massive along RG flow. We find this state matching in examples not only of different geometric phases of the same GLSMs, but also in phases of different GLSMs, indirectly verifying the triality proposal, and giving a clean demonstration that (0,2) chiral rings are not topologically protected. We also check proposals for enhanced IR affine E-6 symmetries in one such model, verifying that (matching) chiral states in phases of corresponding GLSMs transform as 27's, (27) over bar.en
dc.description.notesWe would like to thank A. Caldararu, R. Donagi, A. Gadde, H. Jockers, S. Katz, A. Knutson, W. Lerche, V. Lu, I. Melnikov, and T. Pantev for useful discussions. Bei Jia was partially supported by NSF grant PHY-1316033. Eric Sharpe was partially supported by NSF grants PHY-1068725, PHY-1417410.en
dc.description.sponsorshipNSF grant [PHY-1316033, PHY-1068725, PHY-1417410]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP06(2015)201en
dc.identifier.issn1029-8479en
dc.identifier.issue6en
dc.identifier.other201en
dc.identifier.urihttp://hdl.handle.net/10919/88078en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectSupersymmetric gauge theoryen
dc.subjectSupersymmetry and Dualityen
dc.subjectDuality in Gauge Field Theoriesen
dc.subjectSigma Modelsen
dc.titleChiral operators in two-dimensional (0,2) theories and a test of trialityen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Guo2015_Article_ChiralOperatorsInTwo-dimension.pdf
Size:
670.31 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Scholarly Works, Physics