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BEGIN:VEVENT
DTSTAMP:20180120T025438Z
LAST-MODIFIED:20171219T164245Z
DTSTART:20171220T153000Z
DTEND:20171220T163000Z
UID:event1870@bu.edu
URL:http://physics.bu.edu/events/show/1870
SUMMARY:Constraints on Flavored 2d CFT Partition Functions
DESCRIPTION:Featuring Yuan Xin\n\nPart of the Preliminary Oral Exam.\n\nExa
mining Committee: Liam Fitzpatrick\, Ami Katz\, Robert Carey\, Christopher
Laumann\n\nAbstract:\n\nConformal Field Theory (CFT) relates to many open
questions in high-energy physics and condensed matter theory\, and brings u
s important insights into Quantum Gravity via the AdS/CFT correspondence. T
he conformal bootstrap is a powerful approach to CFT that allows one to stu
dy such theories beyond the weakly coupled regime\, using only basic univer
sal principles. In this project\, we perform a bootstrap analysis on all 2
dimensional CFTs with a conserved charge\, using the transformation law for
the modular transformation of the CFT’s partition function in the presen
ce of a chemical potential\, i.e. flavored partition function. First\, we u
se this law to put constraints on the CFT’s "mass-to-charge" ratio\, as w
ell as the weight of charged states in the theory. Then\, we apply the extr
emal functional method to extract the partition functions of the CFTs that
saturate the bounds. In several cases we find the prediction of the occupat
ion numbers are precisely integers\, which is necessary for a physical theo
ry. Our bounds provide a solid proof of the 3-dimensional Quantum Gravity c
ase of the Weak Gravity Conjecture\, and we find some previously inaccessib
le partition functions.
LOCATION:PRB 595\, 3 Cummington Mall\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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