dc.contributor.author | Gendler, Naomi | |
dc.contributor.author | Kim, Manki | |
dc.contributor.author | McAllister, Liam | |
dc.contributor.author | Moritz, Jakob | |
dc.contributor.author | Stillman, Mike | |
dc.date.accessioned | 2022-11-28T15:25:30Z | |
dc.date.available | 2022-11-28T15:25:30Z | |
dc.date.issued | 2022-11-24 | |
dc.identifier.uri | https://hdl.handle.net/1721.1/146629 | |
dc.description.abstract | We study Euclidean D3-branes wrapping divisors D in Calabi-Yau orientifold compactifications of type IIB string theory. Witten’s counting of fermion zero modes in terms of the cohomology of the structure sheaf OD applies when D is smooth, but we argue that effective divisors of Calabi-Yau threefolds typically have singularities along rational curves. We generalize the counting of fermion zero modes to such singular divisors, in terms of the cohomology of the structure sheaf OD¯¯¯¯¯ of the normalization D¯¯¯¯ of D. We establish this by detailing compactifications in which the singularities can be unwound by passing through flop transitions, giving a physical incarnation of the normalization process. Analytically continuing the superpotential through the flops, we find that singular divisors whose normalizations are rigid can contribute to the superpotential: specifically, h∙+(OD¯¯¯¯¯)=(1,0,0) and h∙−(OD¯¯¯¯¯)=(0,0,0) give a sufficient condition for a contribution. The examples that we present feature infinitely many isomorphic geometric phases, with corresponding infinite-order monodromy groups Γ. We use the action of Γ on effective divisors to determine the exact effective cones, which have infinitely many generators. The resulting nonperturbative superpotentials are Jacobi theta functions, whose modular symmetries suggest the existence of strong-weak coupling dualities involving inversion of divisor volumes. | en_US |
dc.publisher | Springer Berlin Heidelberg | en_US |
dc.relation.isversionof | https://doi.org/10.1007/JHEP11(2022)142 | en_US |
dc.rights | Creative Commons Attribution | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
dc.source | Springer Berlin Heidelberg | en_US |
dc.title | Superpotentials from singular divisors | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Journal of High Energy Physics. 2022 Nov 24;2022(11):142 | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Center for Theoretical Physics | |
dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | |
dc.identifier.mitlicense | PUBLISHER_CC | |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2022-11-27T04:12:30Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | The Author(s) | |
dspace.embargo.terms | N | |
dspace.date.submission | 2022-11-27T04:12:30Z | |
mit.license | PUBLISHER_CC | |
mit.metadata.status | Authority Work and Publication Information Needed | en_US |