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SUMMARY:Bulk geometry from colors - Masanori Hanada (Surrey)
DTSTART:20211111T130000Z
DTEND:20211111T140000Z
UID:TALK164290@talks.cam.ac.uk
CONTACT:Chiung Hwang
DESCRIPTION:We propose a simple way of encoding the emergent geometry in h
 olography into color degrees of freedom (equivalently\, matrix degrees of 
 freedom). Actually\, we just claim that a good old picture\, "coordinate =
  matrix eigenvalue"\, can work. In the past\, it was argued by Polchinski 
 [1] (see also [2]) that this simple picture cannot be used\, because the g
 round-state wave function delocalizes at large N\, leading to a conflict w
 ith the locality in the bulk geometry. We show this conventional wisdom is
  wrong\; the ground-state wave function does not delocalize\, and there is
  no conflict with the locality of the bulk geometry at all [3]. (In Ref.[1
 ]\, Polchinski did realize a puzzling feature of his conclusion and sugges
 ted that it is necessary to obtain the "low-energy part" of the geometry f
 rom matrices. We give a simple and almost trivial way of obtaining such "l
 ow-energy part".) We also analyze the excited states\, which are dual to a
  small black hole. Based on a striking similarity between Bose-Einstein co
 ndensation and color confinement at large-$N$ [4]\, we argue that only a s
 ubgroup of the SU(N) gauge group deconfines\, and the deconfined sector de
 scribes the black hole while the confined sector can be used to probe the 
 exterior geometry [5\,3]. \n\n[1] Polchinski\, "M theory and the light con
 e"\, hep-th/9903165 (Prog.Theor.Phys.Suppl.). \n[2] Susskind\, "Holography
  in the flat space limit"\, hep-th/9901079 (AIP Conf.Proc.). \n[3] MH\, "B
 ulk geometry in gauge/gravity duality and color degrees of freedom"\, 2102
 .08982 [hep-th] (Phys.Rev.D). \n[4] MH\, Shimada and Wintergerst\, "Color 
 confinement and Bose-Einstein condensation"\, 2001.10459 [hep-th] (JHEP). 
 \n[5] MH and Maltz\, "A proposal of the gauge theory description of the sm
 all Schwarzschild black hole in AdS5​×S5"\, 1608.03276 [hep-th] (JHEP).
LOCATION:Potter room/Zoom
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