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SUMMARY:Mirror symmetry and spinor-vector duality
DTSTART:20230324T103000Z
DTEND:20230324T123000Z
DTSTAMP:20230609T111057Z
UID:indico-event-1257228@indico.cern.ch
DESCRIPTION:Mirror symmetry was first observed in worldsheet string constr
uctions and shown to have important implications in the effective field th
eory limit of string compactifications\, and for the properties ofÂ Calab
i-Yau manifolds. It opened up a new field in pure mathematics and was util
ised in the area of enumerative geometry. Spinor-vector duality is an exte
nsion of mirror symmetry. This can be readily understood in terms of the m
oduli of toroidal compactification of the heterotic string\, which include
the metric the antisymmetric tensor field and the Wilson line moduli. In
terms of toroidal moduli\, mirror symmetry corresponds to mappings of the
internal space moduli\, whereas spinor-vector duality corresponds to maps
of the Wilson line moduli. In the past couple of years\, we demonstrated t
he existence of spinor-vector duality in the effective field theory compac
tifications of the string theories. This was achieved by starting with a w
orldsheet orbifold construction that exhibited spinor-vector duality and r
esolving the orbifold singularities\, hence generating a smooth effective
field theory limit with an imprint of the spinor-vector duality. Just like
mirror symmetry\, the spinor-vector duality can be used to study the prop
erties of complex manifolds with vector bundles. In the talk I will descri
be how the spinor-vector duality was discovered\, its relation to mirror s
ymmetry and possible directions of future mathematical research\, some of
which are analogous to similar aspects in mirror symmetry.\n\nhttps://indi
co.cern.ch/event/1257228/
LOCATION:CERN 4/2-037 - TH meeting room
URL:https://indico.cern.ch/event/1257228/
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