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Rigid Calabi-Yau threefolds, Picard Eisenstein series and instantons

L. Bao ; A. Kleinschmidt ; Bengt E. W. Nilsson (Institutionen för fundamental fysik, Matematisk fysik) ; D. Persson ; B. Pioline
Journal of Physics: Conference Series (1742-6588). Vol. 462 (2013), 1,
[Konferensbidrag, refereegranskat]

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].



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Denna post skapades 2015-05-05. Senast ändrad 2016-08-26.
CPL Pubid: 216491

 

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Institutioner (Chalmers)

Institutionen för fundamental fysik, Matematisk fysik (2005-2013)

Ämnesområden

Nanovetenskap och nanoteknik
Fysik

Chalmers infrastruktur