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Rigid Calabi-Yau th...
Rigid Calabi-Yau threefolds, Picard Eisenstein series and instantons
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- Bao, Ling, 1980 (författare)
- Institut des Hautes Etudes Scientifiques
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- Kleinschmidt, Axel (författare)
- Université libre de Bruxelles (ULB)
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- Nilsson, Bengt E W, 1952 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Persson, Daniel, 1977 (författare)
- Eidgenössische Technische Hochschule Zürich (ETH),Swiss Federal Institute of Technology in Zürich (ETH)
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Pioline, B. (författare)
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(creator_code:org_t)
- 2013-12-31
- 2013
- Engelska.
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Ingår i: Journal of Physics: Conference Series. - : IOP Publishing. - 1742-6588 .- 1742-6596. ; 462:1
- Relaterad länk:
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http://publications.... (primary) (free)
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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 script O signd, we argue that the remaining quantum duality group is an arithmetic Picard modular group PU(2, 1; script O signd). 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 script O sign1 = ℤ[i].
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
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