D-instantons and twistors

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dc.creatorAlexandrov, Sergei
dc.creatorPioline, Boris
dc.creatorSaueressig, Frank
dc.creatorVandoren, Stefan
dc.date2008-12-22
dc.date.accessioned2026-07-07T12:51:28Z
dc.date.available2026-07-07T12:51:28Z
dc.descriptionFinding the exact, quantum corrected metric on the hypermultiplet moduli space in Type II string compactifications on Calabi-Yau threefolds is 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 instantons are captured by contact transformations between different 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.
dc.description47 pages, 1 figure, uses JHEP3.cls
dc.identifierhttps://arxiv.org/abs/0812.4219
dc.identifierhttp://arxiv.org/abs/0812.4219
dc.identifierJHEP 0903:044,2009
dc.identifierdoi:10.1088/1126-6708/2009/03/044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223000
dc.subjectHigh Energy Physics - Theory
dc.titleD-instantons and twistors
dc.typetext

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