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SUMMARY:Jun Madea (Kyoto University)
DTSTART:20251223T070000Z
DTEND:20251223T080000Z
DTSTAMP:20260423T040330Z
UID:QTFMS/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QTFMS/26/">T
 wisted Partition Functions as Order Parameters</a>\nby Jun Madea (Kyoto Un
 iversity) as part of Quantum Theories of Fields\, Matter\, and Strings\n\n
 \nAbstract\nFor quantum field theories with global symmetry\, we can study
  the behavior of the partition function with the background gauge field to
  diagnose different quantum phases. For the case of discrete symmetries\, 
 we find that the symmetry-twisted partition function works as an order par
 ameter that discriminates spontaneous symmetry breaking (SSB)\, symmetry-p
 rotected topological (SPT) states\, and symmetry-enriched topological (SET
 ) states. We then consider its application to the case of 4d Yang-Mills th
 eory with adjoint matters to understand the relation between the twisted p
 artition function and the Wilson–’t Hooft classification. We also stud
 y its behavior for the spontaneously broken U(1) symmetry and interpret th
 e result from the viewpoint of the mixed anomaly with the emergent soliton
 ic symmetry.\n
LOCATION:https://researchseminars.org/talk/QTFMS/26/
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