Matrix factorizations and mirror symmetry: the cubic curve

We revisit open string mirror symmetry for the elliptic curve, using matrix factorizations for describing D -branes on the B -model side. We show how flat coordinates can be intrinsically defined in the Landau-Ginzburg model, and derive the A -model partition function counting disk instantons that s...

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Hauptverfasser: Brunner, Ilka (VerfasserIn) , Walcher, Johannes (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 6 November 2006
In: Journal of high energy physics
Year: 2006, Heft: 11
ISSN:1029-8479
DOI:10.1088/1126-6708/2006/11/006
Online-Zugang:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1088/1126-6708/2006/11/006
Verlag, kostenfrei, Volltext: http://stacks.iop.org/1126-6708/2006/i=11/a=006
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Verfasserangaben:Ilka Brunner, Manfred Herbst, Wolfgang Lerche, and Johannes Walcher
Beschreibung
Zusammenfassung:We revisit open string mirror symmetry for the elliptic curve, using matrix factorizations for describing D -branes on the B -model side. We show how flat coordinates can be intrinsically defined in the Landau-Ginzburg model, and derive the A -model partition function counting disk instantons that stretch between three D -branes. In mathematical terms, this amounts to computing the simplest Fukaya product m 2 from the LG mirror theory. In physics terms, this gives a systematic method for determining non-perturbative Yukawa couplings for intersecting brane configurations.
Beschreibung:Gesehen am 21.02.2020
Beschreibung:Online Resource
ISSN:1029-8479
DOI:10.1088/1126-6708/2006/11/006