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SUMMARY:Finite N corrections to the superconformal index from D3-brane ana
lysis in AdS5/CFT4
DTSTART;VALUE=DATE-TIME:20191015T073000Z
DTEND;VALUE=DATE-TIME:20191015T093000Z
DTSTAMP;VALUE=DATE-TIME:20220522T225207Z
UID:indico-event-33@indico.nitep.osaka-cu.ac.jp
DESCRIPTION:日時 : 2019年10月15日(火) 16:30～\n場所 : F205（理
学部F棟 第4講義室）\n題目 : Finite N corrections to the supercon
formal index from D3-brane analysis in AdS5/CFT4\n講演者 :荒井 玲於
奈 氏 (東工大)\n\nIn the context of the AdS/CFT\, the Type IIB supers
tring theory on $AdS_5 \\times SE_5$ corresponds to an $\\mathcal{N}=1$ qu
iver gauge theory\, where $SE_5$ is a five-dimensional Sasaki-Einstein man
ifold. We study this correspondence by using the superconformal index\, wh
ich contains the information of the BPS spectrum in the theory. It is know
n that the index of the large $N$ limit is evaluated by the Kaluza-Klein m
odes on $SE_5$ and the agreement with CFT results was confirmed in many ex
amples. In this talk\, we consider the finite $N$ corrections to the index
on the AdS side as a next step. To do this\, we focus on a single D3-bran
e wrapped around a three-cycle on $SE_5$. Because there are in general sev
eral three-cycles on $SE_5$\, we need to sum up contributions of these sin
gle D3-branes. By using the D3-brane analysis\, we propose a prescription
to calculate the finite $N$ corrections to the index on the AdS side. We e
xplain our prescription through some examples and see the agreement with t
he CFT results calculated by the localization method.\n\nhttps://indico.ni
tep.osaka-cu.ac.jp/event/33/
LOCATION:
URL:https://indico.nitep.osaka-cu.ac.jp/event/33/
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