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?? ? (KEK,???)

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Title: ?? ? (KEK,???)


1
??????????????????????????
  • ????????????????????????
  • ??????(????)
  • 2012?8?30?9?2?

?? ? (KEK,???)
2
??
  1. ????
  2. ???????????
  3. ???????????
  4. ???????
  5. ????????(???)
  6. ??????

3
collaborators
  • ???? (???)
  • Sang-Woo Kim (???)
  • Konstantinos Anagnostopoulos(??????)
  • ???? (???)
  • ????? (???)

4
1. ????
5
1. ????
???????????????????
e.g.) QCD????????????
???????(Wilson, 1974?)
???
????????????????????
?????????????????
6
??????????????????
1980?????????????????? ?????????
????? ?????? ???(???)
???????????????
???????????????(?????)
?????????????????????????
??????????????????????????? ????????????????????
????
????????????????? ????????????????????????
7
???IIB????(??, ??, ??, ?? 1996?)
10?????IIB?????????????????????
???????????????? 10?????IIB?????????? ????????????
??
worldsheet action, light-cone string field
Hamiltonian, etc.
?????????????????????? one-matrix
model?????????????
????????????????????????
????????????????? ? ????????????????????????
(???IIB??????????????? ???????????????????)
8
???IIB???? SO(9,1)???
?????????????????? ?????
??????
???????????? SO(10) ???
9
2. ???????????
10
??????????????????????????
SO(9,1)?????????????SO(10)???????????
4???????????
(SO(10)???????????)
11
???????????????
J.N.-Okubo-Sugino, JHEP1110(2011)135,
arXiv1108.1293
????????
???????
d3??????????????
????????????????????
SSB
SO(10) SO(3)
????????????IIB??????????????? ??????????????
12
????????????????????
  • ?????????????????????????????
  • (?????????????????)
  • ????????????????????????????????
  • (???????????????)
  • ??????????????????? (Ambjorn?2005)
  • (??????????????????????????)
  • ??????????Coleman???????????
  • (?????????????????????????
  • ????????) ?????(2011)
  • ?????????????????????????
  • ???????????????

13
3. ???????????
14
?????????IIB???????????????????
Kim-J.N.-Tsuchiya PRL 108 (2012) 011601
arXiv1108.1540
????????????????
?????????????????? ?????????
(??????????????????????)
15
?????????IIB???????
15?????????????????????????
???!
?????????
?????????????
???!
flat direction( )?????????????
Aoki-Iso-Kawai-Kitazawa-Ta
da (99)
??????????????????????well defined
Krauth-Nicolai-Staudacher (98), Austing-Wheater
(01)
16
???????N??
?????????????????????well defined????
  • ???????????????????????
  • (????????)

??????????????? ????
  • ??????????????N???????????????
  • (????????????)
  • SO(9,1)????????????????????????
  • ??explicit breaking????????N??????????(???)

17
??????????!
(2)
(1)
????????????2?
(1) ??????????????????
???N??????????????
?????????????
????????SO(10)????????????????
J.N.-Vernizzi (00), Anagnostopoulos-J.N.(02)
18
??????????!
??????????? ???????????????? (?????????????
?????????!)
(2) ????????????
19
4. ???????
20
??????????????
???
???
????????
??t?????? ???
???
21
???????
??????????
????????
?1??????
???
???
van der Monde??????
?????
??????????????!
????????????????????? ????????????????????
22
???????????
???????
???????
23
SO(9)???????????
SSB
critical time
24
5. ????????
K.N. Anagnostopoulos,Y. Ito, S.-W.Kim, Y.Koizuka,
J.N., A. Tsuchiya, work in progress
25
????????????????????????
  • ????????????????????????????
  • bottom-up???????????????????????????????
  • ??????top-down??????????????
  • ?????????????????????
  • ???????????????????????!
  • ???????????????
  • (???????????????????????
  • ?????????????????????
  • CMB??????????)
  • ?????????????????????
  • ?????????massless??????? ???????????
  • ??????????(dark energy)????????????
  • ??????????? (?????????????????)

26
?????????????????????
?????????????????????? action?????????????????????
?????????
(???????????????????????)
??????????????????????? ?????????????????? ???????
???????
?)?????????? (31)??????????????????????????????
?? ??????????????????????????(??????)
27
???????????????
1980????????QCD????????? ????????????????????????
???
sea quark??????????
??????????????????? ?????????????????????
?????????????????????????????????
??????????????
van der Monde?????? ?????
?1?????? ??????
?VDM???
????????????
28
???????
VDM??
????????consistent?????
29
????????????
VDM??
??????????????????????????? (???????????)
30
???????????????
???????????? ?????????? ?
SSB????????????????? ? ??????????
31
????????????????
cf.) one-matrix model
Brezin,Zinn-Justin (1993), Higuchi-Itoi-Nishigaki
-Sakai(1995) matrix model with fuzzy
sphere background Kawamoto-Kuroki-Tomin
o arXiv1206.0574
??????????????
????????????
?????????????? ????????????? ????????
32
??????????
VDM??
SSB????????????
33
?????????????????
VDM??
34
6. ??????
35
???
???IIB???? (1996?)
???IIB?????????????????????? ????15???????????????
???????????? ??????????????????????????????? ?????
???????????????????????????
  • ????????????????N?????????
  • well-defined??????????
  • (1???????????????????????????)
  • ??????????????

?????????? ?????????????
??????????????????????????
  • ???????????SO(9)???????????3??????????

????????????????????
36
?23?Solvay?????(2005?)????Seiberg???
Emergent Spacetime
hep-th/0601234
Understanding how time emerges will undoubtedly
shed new light on some of the most important
questions in theoretical physics including the
origin of the Universe.
?????????IIB??????????????????????????????????????
???????
37
????????????????????
??????????????????????????? ??????????????????????
??? ????????massless????????????
?????????????????????????? ???????????????????????
???(??????)
?????????????????????????
????????????????????????????????????
QCD??????????????????????VDM??? ??????????????????
????
  • ???????????
  • ???????????????

(SSB????(31)??????????)
38
?????
  • ??????????????
  • ??????????????????????
  • (???????????????????????
  • ???????????????????????????)
  • CMB?????????????????????
  • ???????????
  • SU(k)?????k??????????
  • SU(k)GUT?????????????????(??????)
  • ?????????????????


???????????????????????? ???????????????????????
?? ???????????????????????????????????
(??????QCD??????????????????????
?????????????????)
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