Search: id:"swepub:oai:research.chalmers.se:ddd7552b-42f3-4aad-a4c3-7d97e35c0a65" >
Rigid Calabi-Yau th...
Rigid Calabi-Yau threefolds, Picard Eisenstein series and instantons
-
- Nilsson, Bengt E W, 1952 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
-
Bao, Ling, 1980 (author)
-
Kleinschmidt, Axel (author)
-
show more...
-
Persson, Daniel, 1978 (author)
-
Pioline, Boris (author)
-
show less...
-
(creator_code:org_t)
- 2010
- 2010
- English.
-
In: roceedings of 6th International Symposium on Quantum Theory and Symmetries (QTS6), Lexington, Kentucky, 20-25 Jul 2009..
- Related links:
-
https://research.cha...
Abstract
Subject headings
Close
- 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].
Subject headings
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- rigid calabi-yau
- number theory
- String theory
Publication and Content Type
- kon (subject category)
- ref (subject category)
To the university's database