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Rigid Calabi-Yau th...
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Nilsson, Bengt E W,1952Chalmers tekniska högskola,Chalmers University of Technology
(författare)
Rigid Calabi-Yau threefolds, Picard Eisenstein series and instantons
- Artikel/kapitelEngelska2010
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LIBRIS-ID:oai:research.chalmers.se:ddd7552b-42f3-4aad-a4c3-7d97e35c0a65
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https://research.chalmers.se/publication/133053URI
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Språk:engelska
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Sammanfattning på:engelska
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Abstract.Type IIA string theory compactified on a rigid Calabi-Yau threefold gives rise to a classical moduli space that carries an isometric action of U(2,1). Various quantum corrections break this continuous isometry to a discrete subgroup. Focussing on the case where the intermediate Jacobian of the Calabi-Yau admits complex multiplication by the ring of quadratic imaginary integers Od, we argue that the remaining quantum duality group is an arithmetic Picard modular group PU(2,1;Od). Based on this proposal we construct an Eisenstein series invariant under this duality group and study its non-Abelian Fourier expansion. This allows the prediction of non-perturbative effects, notably the contribution of D2- and NS5-brane instantons. The present work extends our previous analysis in 0909.4299 which was restricted to the special case of the Gaussian integers O1 = Z[i].
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Bao, Ling,1980
(författare)
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Kleinschmidt, Axel
(författare)
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Persson, Daniel,1978
(författare)
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Pioline, Boris
(författare)
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Chalmers tekniska högskola
(creator_code:org_t)
Sammanhörande titlar
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Ingår i:roceedings of 6th International Symposium on Quantum Theory and Symmetries (QTS6), Lexington, Kentucky, 20-25 Jul 2009.
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