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SUMMARY:Quaternion-Kahler moduli spaces from Calabi-Yau threefolds
DTSTART:20130417T141500
DTEND:20130417T160000
DTSTAMP:20260506T012333Z
UID:cc9b9e3e5ced7ac4c133cda6e2ff20dd184926274e0c373e24b08d7b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Boris Pioline\, CERN and CRNS\nClassical mirror symmetry ident
 ifies the complex structure moduli space $M(X)$ of a Calabi-Yau 3-fold $X$
  with the complexified Kahler moduli space $\\hat M(\\hat X)$ of a dual Ca
 labi-Yau threefold $\\hat X$. String theory predicts that the equivalence 
 $M(X)=\\hat M(\\hat X)$ extends to an equivalence $QK(X)=\\widehat{QK}(\\h
 at X)$ between two non-compact quaternion-Kahler moduli spaces which encod
 e\, on top of the aforementioned complex/Kahler structures\, the full set 
 of generalized Donaldson-Thomas invariants counting special Lagrangian 3-c
 ycles on $X$ vs. semi-stable coherent sheaves on $\\hat X$. In addition\, 
 it predicts that these spaces admit an isometric action of the modular gro
 up $SL(2\,Z)$\, putting a powerful constraint on the DT invariants. I will
  review recent progress in constructing these QK moduli spaces (or rather 
 their twistor spaces)\, in the vicinity a certain 'small coupling' boundar
 y. The input from string theory will be\nminimal.\nRef: "Quantum hypermult
 iplet moduli spaces in N=2 string vacua: a review"\,\nby S. Alexandrov\, J
 . Manschot\, D. Persson\, B. Pioline\nProceedings of String Math 2012 [arX
 iv:1304.0766]
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 m
STATUS:CONFIRMED
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