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SUMMARY:Gim Seng Ng: Witten Diagrams for Torus Conformal Blocks
DTSTART;VALUE=DATE-TIME:20170516T120000Z
DTEND;VALUE=DATE-TIME:20170516T130000Z
DTSTAMP;VALUE=DATE-TIME:20211207T153900Z
UID:indico-contribution-7208@indico.nbi.ku.dk
DESCRIPTION:We give a holographic description of global conformal blocks i
n two dimensional conformal field theory on the sphere and on the torus. W
e show that the conformal blocks on the torus can be written as Witten dia
grams in the thermal AdS. This is accomplished by deriving a general confo
rmal Casimir equation for global conformal blocks\, and showing that Witte
n diagrams obey the same equation. We study in detail the semi-classical l
imit\, where conformal blocks are given by the action of a network of bulk
world-lines obeying appropriate geodesic equations. We give an alternate
description in the Chern-Simons formulation of 3D gravity\, where the conf
ormal blocks are described by networks of Wilson lines\, and show that the
se formulations are equivalent.\nhttps://indico.nbi.ku.dk/event/979/contri
butions/7208/
LOCATION:Auditorium A (Niels Bohr Institute)
RELATED-TO:indico-event-979@indico.nbi.ku.dk
URL:https://indico.nbi.ku.dk/event/979/contributions/7208/
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