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SUMMARY:From Calabi–Yau Singularities to 6D Gravitational Anomaly Cancel
 lation
DTSTART:20261015T071000Z
DTEND:20261015T081000Z
DTSTAMP:20261027T164400Z
UID:indico-event-31113@indico.ihep.ac.cn
DESCRIPTION:Speakers: Kai Xu (Tsinghua University)\n\nSix-dimensional F-th
 eory compactifications provide a geometric framework for constructing UV c
 omplete quantum theory of gravity\, in which gauge symmetries and charged 
 matter arise from singularities of elliptically fibered Calabi–Yau three
 folds. An important consistency condition on these theories is the cancell
 ation of gravitational anomalies.I will first review this physical picture
  and explain how matters localize at singularities\, then explain how six-
 dimensional matter representations can be constructed from the CoHA/BPS co
 homology of resolved cDV singularities\, equipped with a natural action of
  the gauge algebra. Finally\, I will give a geometric derivation of the 6D
  gravitational anomaly cancellation condition\, reducing it through five-d
 imensional Coulomb/Higgs branch physics to a local statement about singula
 rities of elliptic Calabi–Yau threefolds.About the speaker:Kai Xu is an 
 Assistant Professor at the Yau Mathematical Sciences Center (YMSC)\, Tsing
 hua University. He received his Ph.D. in Mathematics from Harvard Universi
 ty and subsequently held a postdoctoral fellowship in the Department of Ph
 ysics at Harvard. His research lies at the interface of algebraic geometry
 \, string theory\, and quantum gravity.\n\nhttps://indico.ihep.ac.cn/event
 /31113/
LOCATION:B105 (CHEP)
URL:https://indico.ihep.ac.cn/event/31113/
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