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SUMMARY:Dynamical spin chains in 4D N = 2 SCFTs
DTSTART;VALUE=DATE-TIME:20220222T130000Z
DTEND;VALUE=DATE-TIME:20220222T150000Z
DTSTAMP;VALUE=DATE-TIME:20220528T084341Z
UID:indico-event-1104123@indico.cern.ch
DESCRIPTION:In this talk we will revisit the study of spin chains capturin
g the spectral problem of 4d N = 2 SCFTs in the planar limit. At one loop
and in the quantum plane limit\, we will discover a quasi-Hopf symmetry al
gebra\, defined by the R-matrix read off from the superpotential. This imp
lies that when orbifolding the N = 4 symmetry algebra down to the N = 2 on
e and then marginaly deforming\, the broken generators are not lost\, but
get upgraded to quantum generators. Thereafter\, we will demonstrate that
these chains are dynamical\, in the sense that their Hamiltonian depends o
n a parameter which is dynamically determined along the chain. At one loop
we will show how to map the holomorphic SU(3) scalar sector to a dynamica
l 15-vertex model\, which corresponds to an RSOS model\, whose adjacency g
raph can be read off from the gauge theory quiver/brane tiling. One scalar
SU(2) sub-sector is described by an alternating nearest-neighbour Hamilto
nian\, while another choice of SU(2) sub-sector leads to a dynamical dilut
e Temperley-Lieb model. These sectors have a common vacuum state\, around
which the magnon dispersion relations are naturally uniformised by ellipti
c functions. For the example of the SU(N)xSU(N) quiver theory we will stud
y these dynamical chains by solving the one- and two-magnon problems with
the coordinate Bethe ansatz approach.\n\nhttps://indico.cern.ch/event/1104
123/
LOCATION:CERN zoom
URL:https://indico.cern.ch/event/1104123/
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