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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On integration over the supermoduli space of curve
d. A joint work with with Giovanni Felder and Alex
ander Polishchuk - David Kazhdan (Hebrew Universit
y of Jerusalem)
DTSTART;TZID=Europe/London:20220825T090000
DTEND;TZID=Europe/London:20220825T100000
UID:TALK177236AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/177236
DESCRIPTION:The partition function in perturbative Superstring
Theory is presented as a series PgIgg where Ig =R
Sgµ\;g is the integral over the supermoduli s
pace Sg of supercurves of genus g\, where µ\;
g is a supermeasure on Sg coming from the holomorp
hic Mumford&rsquo\;s form. The supermeasure µ
\;g is known to be continuous only for g &le\; 11
but even in this range there is a difficulty with
a rigorous definition of the integral RSg µ\
;g. The main problem comes from the existence of t
he second order pole of the measure µ\;g at t
he divisor at &infin\;. By choosing a cutofffuncti
on &rho\; one can define the regularized integral
Ig(&rho\;) but apriori it depends on a choice of a
cutoff function. In the case when g = 2 we define
a class C of cutoff functions &rho\; such that I2
(&rho\;) does not depend on a choice of &rho\; &is
in\; C.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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