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SUMMARY:Christian Saemann (Heriot-Watt University)
DTSTART:20210507T160000Z
DTEND:20210507T170000Z
DTSTAMP:20260423T052955Z
UID:TQFT/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/41/">Ad
 justed Higher Gauge Theory: Connections and Parallel Transport</a>\nby Chr
 istian Saemann (Heriot-Watt University) as part of Topological Quantum Fie
 ld Theory Club (IST\, Lisbon)\n\n\nAbstract\nOrdinary higher gauge theory 
 suffers from the problem that all the curvature forms but the top degree o
 ne\, which are called fake curvatures\, have to vanish. If this condition 
 was omitted\, the gauge structure\, the underlying higher principal bundle
  and the corresponding parallel transport would be inconsistent. For vanis
 hing fake curvatures\, however\, one can locally gauge away the non-abelia
 n parts of the higher connection\, ending up with a connection on an abeli
 an gerbe. This is clearly unsatisfactory for non-topological higher gauge 
 theories. A solution to this problem is what we call "adjusted higher gaug
 e theory"\, in which the usual definition of the curvatures is adjusted by
  additional data. This lifts the requirement for vanishing fake curvatures
 . Moreover\, it matches constructions of theoretical physicists in the con
 text of supergravity. In this talk\, I will review the above points and sa
 y a few words about my motivation for studying adjusted higher gauge theor
 ies.\n
LOCATION:https://researchseminars.org/talk/TQFT/41/
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