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X-FROM-URL:https://eom.sdu.dk/events/ical/6c9cc082-cccc-442b-be86-99564a21
 c05f
X-WR-CALNAME:QM Research Seminar: Periods on super Riemann surfaces
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DTSTAMP:20260513T130622Z
DTSTART:20261028T030000
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DESCRIPTION:[b]Speaker: Nadia Ott[/b] (University of Southern Denmark) [nl
 ][nl]\n[b]Abstract:[/b][nl]\nD’Hoker and Phong’s calculation of the genus
  [i]g [/i]= 2 superstring amplitude uses\, in a crucial way\, a projectio
 n from genus [i]g[/i] = 2 supermoduli space to its underlying reduced spa
 ce. They define this projection using a formula for the genus [i]g [/i]= 
 2 super period matrix. Witten generalized their formula for the super per
 iod matrix to higher genus [i]g [/i]and found that the super period matri
 x may develop a pole along a particular divisor in supermoduli space if [
 i]g [/i]≥ 11. This divisor is commonly called the[i] bad divisor[/i]. Wit
 ten also considered super period matrices on super Riemann surfaces with 
 a nonzero number of [i]Ramond punctures[/i] (note: the word puncture is a
  bit of a misnomer). He found that in the presence of Ramond punctures\, 
 a closed one form has\, in addition to the usual 2[i]g[/i] ”even” periods
  (defined by integrals over one cycle in homology)\, 2[i]r[/i] [i]fermion
 ic periods[/i]. The fermionic periods of one form [i]w[/i] are certain co
 nstants appearing in the restriction of [i]w[/i] to the Ramond divisor. I
 n joint work with Ron Donagi\, we identify the 2[i]r[/i] fermionic period
 s of [i]w[/i] with the residues of a particular global section of the twi
 sted spin structure on the underlying curve. As in the unpunctured case\,
  the super period matrix with Ramond punctures may develop a singularitie
 s as we vary over supermoduli space. Using this identification of the fer
 mionic periods in terms of residues\, we explicitly describe this [i]bad 
 locus[/i] in supermoduli space.\n[nl]\n[nl]
DTEND:20240425T140000Z
DTSTAMP:20260513T130622Z
DTSTART:20240425T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
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SUMMARY:QM Research Seminar: Periods on super Riemann surfaces
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