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SUMMARY:Wall-crossing\, dilogarithm identities and the QK/HK correspondenc
 e - Persson\, D (Chalmers University of Technology)
DTSTART:20120113T140000Z
DTEND:20120113T150000Z
UID:TALK35366@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will explain how the wall-crossing behaviour of D-brane inst
 antons in type II Calabi-Yau compactifications is captured by a certain hy
 perholomorphic line bundle over a hyperkhler manifold. This construction r
 elies on a general duality between 4n-dimensional quaternion-Khler and hyp
 erkhler spaces with certain continuous isometries. The continuity of the m
 oduli space metric across walls of marginal stability is encoded in non-tr
 ivial identities for the Rogers dilogarithm\, which are shown to be a cons
 equence of the motivic Kontsevich-Soibelman wall-crossing formula. Finally
 \, I will offer some speculations on how the construction is modified in t
 he presence of NS5-brane effects.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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