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SUMMARY:Transport in Chern-Simons-Matter Theories (Quantum Spacetime Semin
ar)
DTSTART;VALUE=DATE-TIME:20170213T060000Z
DTEND;VALUE=DATE-TIME:20170213T070000Z
DTSTAMP;VALUE=DATE-TIME:20180422T042914Z
UID:indico-event-5490@cern.ch
DESCRIPTION:The frequency-dependent longitudinal and Hall conductivities -
-- σxx and σxy --- are dimensionless functions of ω/T in 2+1 dimensiona
l CFTs at nonzero temperature. These functions characterize the spectrum o
f charged excitations of the theory and are basic experimental observables
. We compute these conductivities for large N Chern-Simons theory with fer
mion matter. The computation is exact in the 't Hooft coupling λ at N=∞
. We describe various physical features of the conductivity\, including an
explicit relation between the weight of the delta function at ω=0 in σx
x and the existence of infinitely many higher spin conserved currents in t
he theory. We also compute the conductivities perturbatively in Chern-Simo
ns theory with scalar matter and show that the resulting functions of ω/T
agree with the strong coupling fermionic result. This provides a new test
of the conjectured 3d bosonization duality. In matching the Hall conducti
vities we resolve an outstanding puzzle by carefully treating an extra ano
maly that arises in the regularization scheme used.\n\nhttps://indico.tifr
.res.in/indico/conferenceDisplay.py?confId=5490
LOCATION: A 304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=5490
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