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1、TopologicalStringsandQuantumCurvesUvADissertationTopologicalStringsThisthesispresentsseveralnewinsightsontheinterfacebetweenmathematicsandtheoreticalphysics,withacentralroleforandRiemannsurfaces.Firstofall,thedualitybetweenVafa-WittentheoryandWZWQuantumCurvesmodelsisembeddedinstringt
2、heory.Secondly,thismodelisgeneralizedtoawebofdualitiesconnectingtopologicalstringtheoryandN=2supersymmetricgaugetheoriestoaconfigurationofD-branesthatintersectoveraRiemannsurface.ThisdescriptionyieldsanewperspectiveontopologicalstringtheoryintermsofaKPintegrablesystembasedonaquantumc
3、urve.Thirdly,thisthesisdescribesageometricanalysisofwall-crossinginN=4stringtheory.Andlastly,itoffersanovelapproachtoconstuctmetastablevacuaintypeIIBstringtheory.LotteHollands(1981)studiedmathematicsandtheoreticalphysicsattheUniversityofUtrecht.In2004shestartedherPhDresearchattheInst
4、ituteforTheoreticalPhysicsoftheUniversityofAmsterdam,supervisedbyProf.R.H.Dijkgraaf.LotteHollandsLotteHollandsTOPOLOGICALSTRINGSANDQUANTUMCURVESThisworkhasbeenaccomplishedattheInstituteforTheoreticalPhysics(ITFA)oftheUniversityofAmsterdam(UvA)andisfinanciallysupportedbyaSpinozagrantof
5、theNetherlandsOrganisationforScientificResearch(NWO).Coverillustration:LotteHollandsCoverdesign:TheDocWorkersLay-out:LotteHollands,typesetusingLATEXISBN9789085550204NUR924cL.Hollands/PallasPublications—AmsterdamUniversityPress,2009Allrightsreserved.Withoutlimitingtherightsundercopyrig
6、htreservedabove,nopartofthisbookmaybereproduced,storedinorintroducedintoaretrievalsystem,ortransmitted,inanyformorbyanymeans(electronic,mechanical,photocopying,recordingorotherwise)withoutthewrittenpermissionofboththecopyrightownerandtheauthorofthebook.TOPOLOGICALSTRINGSANDQUANTUMCUR
7、VESACADEMISCHPROEFSCHRIFTterverkrijgingvandegraadvandoctoraandeUniversiteitvanAmsterdamopgezagvandeRectorMagnificusprof.dr.D.C.vandenBoomtenoverstaanvaneendoorhetcollegevoorpromotiesingesteldecommissie,inhetopenbaarteverdedigenindeAgnietenkapelopdonderdag3september,te14.00uurdoorLOTTE
8、HOLLANDSgebo
