Real mirror symmetry and the real topological string [Elektronische Ressource] / vorgelegt von Daniel Krefl

Real Mirror SymmetryandThe Real Topological StringDaniel KreflMu¨nchen 2009Real Mirror SymmetryandThe Real Topological StringDaniel KreflDissertationan der Fakult¨at fu¨r Physikder Ludwig–Maximilians–Universit¨atMu¨nchenvorgelegt vonDaniel Kreflaus Bergisch GladbachMu¨nchen, Mai 2009Erstgutachter: Prof. Dr. Dieter Lu¨stZweitgutachter: Prof. Dr. Wolfgang LercheTag der mu¨ndlichen Pru¨fung: 02.07.2009AbstractThis thesis is concerned with real mirror symmetry, that is, mirror symmetry for aCalabi-Yau 3-fold background with a D-brane on a special Lagrangian 3-cycle defined bythe real locus of an anti-holomorphic involution. More specifically, we will study realmirror symmetry by means of compact 1-parameter Calabi-Yau hypersurfaces in weighted2projective space (at tree-level) and non-compact localP (at higher genus).Forthecompact models, we identify mirror pairsof D-braneconfigurationsinweightedprojective space, derive the corresponding inhomogeneous Picard-Fuchs equations, andsolveforthedomainwalltensionsasanalyticfunctionsovermodulispace,therebycollectingevidence for real mirror symmetry at tree-level. A major outcome of this part is theprediction of the number of disk instantons ending on the D-brane for these models.2Further, we study real mirror symmetry at higher genus using local P . For that, weutilize the real topological string, that is, the topological string on a background withO-plane and D-brane on top.