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SUMMARY:Atiyah-Patodi-Singer index theorem for domain-wall fermion Dirac o
perator
DTSTART;VALUE=DATE-TIME:20170623T134000Z
DTEND;VALUE=DATE-TIME:20170623T140000Z
DTSTAMP;VALUE=DATE-TIME:20200218T064907Z
UID:indico-contribution-87@cern.ch
DESCRIPTION:Speakers: Prof. ONOGI\, Tetsuya (Osaka University)\nRecently\,
the Atiyah-Patodi-Singer(APS) index theorem attracts attention for unders
tanding physics on the surface of materials in topological phases. Althoug
h it is widely applied to physics\, the mathematical setup in original APS
index theorem is too abstract and general (allowing non-trivial metric an
d so on) and also the connection bewteen the APS boundary condition and th
e physical boundary condition on the surface of topological material is un
clear. For this reason\, in contrast to Atiyah-Singer index theorem\, deri
vation of the APS index theorem in physics language is still missing. In t
his talk\, we attempt to reformulate the APS index in a "physicist-friendl
y" way\, similar to the Fujikawa method on closed manifolds\, for our fam
iliar domain-wall fermion Dirac operator in a flat Euclidean space. We fi
nd that the APS index is naturally embedded in the determinant of domain-w
all fermions\, representing the so-called anomaly descent equations.\n\nht
tps://makondo.ugr.es/event/0/session/93/contribution/87
LOCATION: AndalucĂa I
URL:https://makondo.ugr.es/event/0/session/93/contribution/87
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