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SUMMARY:Non-invertible symmetry and string tensions beyond N-ality - Yuya 
 Tanizaki (Kyoto)
DTSTART:20210211T130000Z
DTEND:20210211T140000Z
UID:TALK155749@talks.cam.ac.uk
CONTACT:Pietro Benetti Genolini
DESCRIPTION:String tension is one of the characteristic quantity in confin
 ing gauge theories. In SU(N) gauge theories\, there is a center symmetry\,
  or Z_N 1-form symmetry\,  which acts on the test quarks\, and this is the
  symmetry which controls the spectral properties of confining strings in t
 he infrared regime. This is sometimes called as an N-ality rule. \nIn this
  talk\, I will construct a simple toy model\, which we call the 3d semi-Ab
 elian gauge theory\, and the N-ality rule is violated there. That is\, the
  center symmetry is again given by Z_N as in the case of SU(N) theory\, wh
 ile the confining strings of Wilson loops carry detailed information on th
 eir representations beyond N-ality. Then\, I will uncover that our model e
 njoys the non-invertible symmetry\, and they can naturally explain why the
  N-ality rule can be violated. I would also like to talk about speculation
  on possible applicability to non-Abelian gauge theories. \nThis talk is b
 ased on the work\, https://arxiv.org/abs/2101.02227\, in collaboration wit
 h Mendel Nguyen and Mithat Unsal. 
LOCATION:Online (Zoom)
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