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SUMMARY:(Super)Conformal Theories in Momentum space and Spinor Helicity Va
riables [Zoom Talk]
DTSTART:20240523T111500Z
DTEND:20240523T131500Z
DTSTAMP:20240523T144600Z
UID:indico-event-605@indico.hiskp.uni-bonn.de
DESCRIPTION:Speakers: Shivang Yadav (IISER Pune)\n\nTraditionally\, CFTs a
re studied in position space\, while scattering amplitudes are analyzed in
momentum space. Thus\, studying CFTs directly in momentum space naturally
connects these approaches. The prominent method involves spinor helicity
variables\, which we extended to three-dimensional Superconformal Field Th
eories (SCFTs) using new variables called Grassmann Twistor Variables. We
found the exact functional form of all spinning SCFT correlators and unco
vered new relations between CFT correlators in these variables. However\,
these insights are mostly limited to three-point functions\, as higher-po
int functions involve complex vector differential equations. To tackle thi
s\, we explored one-dimensional systems\, showing that n-point functions
in one-dimensional momentum space can be expressed as Lauricella functions
. This provides a closed functional form for n-point functions\, thus pav
ing the way for advancements in higher-dimensional CFT studies.\n\nhttps:/
/indico.hiskp.uni-bonn.de/event/605/
URL:https://indico.hiskp.uni-bonn.de/event/605/
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