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SUMMARY:Ung Nguyen (YITP\, Kyoto University)
DTSTART:20260814T070000Z
DTEND:20260814T080000Z
DTSTAMP:20260824T002254Z
UID:EUPAC-TP/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EUPAC-TP/40/
 ">Revisiting the k-theorem with the ANEC</a>\nby Ung Nguyen (YITP\, Kyoto 
 University) as part of Europe and Pacific Theoretical Physics\n\n\nAbstrac
 t\nIn the context of renormalization group flow of two dimensional unitary
  quantum field theories\, the $c$-theorem is a cornerstone result.\nThe $c
 $-theorem states that under renormalization group flow\, the central charg
 e of the UV CFT must always be greater than the central charge of the IR C
 FT.\nA lesser known cousin of the $c$-theorem is the $k$-theorem.\nAssumin
 g that the theory has a $U(1)$ symmetry\, one can define a current central
  charge $k$ based on the two-point function of the conserved current.\nThe
  $k$-theorem then states that $k$ is also a renormalization group monotone
 .\n\nRecently\, using the averaged null energy condition (ANEC)\, Hartman 
 and Mathys has shown not only the $c$-theorem but also its four dimensiona
 l relative -- the $a$ theorem.\nIn this talk\, we will extend this story t
 o the $k$-theorem.\nThe talk is based on the work done in 2511.17072.\n
LOCATION:https://researchseminars.org/talk/EUPAC-TP/40/
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