 |
 |
|
|
| HAL : hal-00349154, version 1 |
| arXiv : 0812.4219 |
| DOI : 10.1088/1126-6708/2009/03/044 |
| Fiche détaillée |  Récupérer au format |
 |
| Journal of High Energy Physics, 03 (2009) 044 |
|
|
|
|
| D-instantons and twistors |
|
|
| Sergey Alexandrov 1Boris Pioline 2 |
|
|
| (06/03/2009) |
|
|
|
| Finding the exact, quantum corrected metric on the hypermultiplet moduli space in Type II string compactifications on Calabi-Yau threefolds still poses an outstanding open problem. We address this issue by relating the quaternionic-Kahler metric on the hypermultiplet moduli space to the complex contact geometry on its twistor space. In this framework, Euclidean D-brane instanton contributions are captured by contact transformations between different locally flat patches. We derive those by recasting the previously known A-type D2-instanton corrections in the language of contact geometry, covariantizing the result under electro-magnetic duality, and using mirror symmetry. As a result, we are able to express the effects of all D-instantons in Type II compactifications concisely as a sum of dilogarithm functions. We conclude with some comments on the relation to microscopic degeneracies of four-dimensional BPS black holes and to the wall-crossing formula of Kontsevich and Soibelman, and on the form of the yet unknown NS5-brane instanton contributions. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Laboratoire de Physique Théorique et Astroparticules (LPTA) |
|
|
|
CNRS : UMR5207 – IN2P3 – Université Montpellier II - Sciences et techniques |
|
|
| 2 : | Laboratoire de Physique Théorique et Hautes Energies (LPTHE) |
|
|
|
CNRS : UMR7589 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot |
|
|
| 3 : | Institut de Physique Théorique (ex SPhT) (IPHT) |
|
|
|
CNRS : URA2306 – CEA : DSM/IPHT |
|
|
| 4 : | Institute for Theoretical Physics and Spinoza Institute |
|
|
|
Spinoza Institute |
|
|
|
|
|
|
|
|
|
| Domaine | : | Physique/Physique des Hautes Energies - Théorie Physique/Physique mathématique Mathématiques/Physique mathématique |
|
|
| D-instantons – string theory – quaternionic geometry |
|
|
|
| Lien vers le texte intégral : |
|
| http://fr.arXiv.org/abs/0812.4219 |
| hal-00349154, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00349154 | |
| oai:hal.archives-ouvertes.fr:hal-00349154 | |
| Contributeur : Logiciel Aigle | |
| Déposé pour le compte de : | |
| Soumis le : Mardi 23 Décembre 2008, 17:31:29 | |
| Dernière modification le : Mercredi 18 Mars 2009, 14:04:43 | |
