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dc.contributor.author Schimmrigk, Rolf
dc.date.accessioned 2021-06-17T18:30:21Z
dc.date.available 2021-06-17T18:30:21Z
dc.date.issued 2008-12
dc.identifier.citation Schimmrigk, Rolf. “Emergent Spacetime from Modular Motives.” Communications in Mathematical Physics, vol. 303, no. 1, Apr. 2011, pp. 1–30.
dc.identifier.uri https://hdl.handle.net/2022/26579
dc.description.abstract The program of constructing spacetime geometry from string theoretic modular forms is extended to Calabi-Yau varieties of dimensions two, three, and four, as well as higher rank motives. Modular forms on the worldsheet can be constructed from the geometry of spacetime by computing the L-functions associated to omega motives of Calabi-Yau varieties, generated by their holomorphic n−forms via Galois representations. The modular forms that emerge from the Ω−motive and other motives of the intermediate cohomology are related to characters of the underlying rational conformal field theory. The converse problem of constructing space from string theory proceeds in the class of diagonal theories by determining the motives associated to modular forms in the category of pure motives with complex multiplication. The emerging picture indicates that the L-function can be interpreted as a map from the geometric category of motives to the category of conformal field theories on the worldsheet. en
dc.format.extent 42 pages
dc.format.mimetype PDF
dc.language.iso en en
dc.publisher Springer en
dc.relation.isversionof https://doi.org/10.1007/s00220-010-1179-4
dc.subject.lcsh String models
dc.subject.lcsh Geometry, Algebraic
dc.subject.lcsh Particles (Nuclear physics)
dc.title Emergent Spacetime from Modular Motives en
dc.type Article en


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