??????IIB??????????????????

1
??????IIB??????????????????

• ?? ? (KEK ???)
• ??????????????????????
  2013?9?27?30?
• KEK, ???

2
1. ?
????
???
??????? ??
Standard Model
????????????????
CMB (WMAP, PLANCK) ??????? ????
SM-like??????? ???(_at_ LHC)
?????
???????????????? ???? ???????????? ???????
?????? ??????(3 ??) ???? ???????
????????
????naturalness? ???
?????
?????
???????????????????????????!
????????
????????
3
????????????????
?????
(?????10????????????)
????????

• ?????????????

???? ??????
????? ?????? ??? (???)
???

• D-????

(?????????????)
????????????????? ??????????????????
?? D-?????? D-???????????? ??????????????
???????????????????? !!!
4
???????????? ???????????????????? ???????????????
????D-????branes??????? ???????????????????????
???????????????????????? ????????????????????
c.f.) QCD???????????
C?????????, ????????????, etc.
(???????????????????????????!!!)
5
??? IIB ???? (??, ??, ??, ??, 1996)
???????????? (10??????type IIB????????)

• ???????????????10??????IIB???????? ????????????

worldsheet action, light-cone string field
Hamiltonian, etc.

• one-matrix model ( ?????????????????) ??????

???????? Feynman diagram??????????

• ??????????????????????
• ?????????????????

(???????????????????? ??? IIB ????????????????????
?)
6
???IIB????
SO(9,1) ???
??????? ???????????????
Wick ??
???????????? SO(10) ???
7
?????? v.s. ???????
15????????????????????????? ?????????
???!
????????
??????????????,
???!
flat direction ( ) ????????????
Aoki-Iso-Kawai-Kitazawa-T
ada (99)
??????????? ????????well defined
Krauth-Nicolai-Staudacher (98), Austing-Wheater
(01)
8
?????

• ??????????

• ????????????????????????
• ?????????????Wick rotation????????!

• ?????????

• IR???????????????well-defined ?????
  ?????????? ???N ????????
• ????????? ??????????????
• 9d????3d????????? (SSB), ????????, ?????,
• ??????????????
• Standard Model???

(??????)
??????????IIB????????? ?????????????????????? ????
???????????
9
??

1. ?
2. ??????????? IIB????
3. ??????????IIB ????
4. ????9d????????3d ???
5. ??????????????
6. ????????????????
7. ??????

10

2. ???????????IIB????
J.N.-Okubo-Sugino, JHEP1110(2011)135,
arXiv1108.1293 Aoyama-J.N.-Okubo,
Prog.Theor.Phys. 125 (2011) 537,
arXiv1007.0883 Anagnostopoulos -Azuma-J.N.,
arXiv1306.6135
11
???????????????
J.N.-Okubo-Sugino, JHEP1110(2011)135,
arXiv1108.1293
KNS
extended direction
shrunken direction
d3 ????????????????
universal shrunken direction
??????????????????
SSB
SO(10) SO(3)
??????????????IIB?????????????????????????????????
???
12
6d SUSY???????? (??????????)
Aoyama-J.N.-Okubo, Prog.Theor.Phys. 125 (2011)
537, arXiv1007.0883
extended direction
shrunken direction
KNS
d3 ?????????????????
universal shrunken direction
SSB
SO(6) SO(3)
??????????SSB????????????????????? ????????
????????????
13
????????SSB??????
Anagnostopoulos Azuma-J.N., arXiv1306.6135
???
N ?????????????????????????? !
14
????? universal shrunken direction
Anagnostopoulos -Azuma-J.N., arXiv1306.6135
???????????????
factorization method ??????
Anagnostopoulos J.N. Phys.Rev. D66 (2002)
106008 hep-th/0108041
??????????consistent!
c.f.)
15
???????????????????????????

• ???????????????????????
• (????? ?????????????????)

• ???????????????????????????
• (?????????????????)

• dynamical triangulation???????? (Ambjorn et
  al. 2005)
• (???????????????????????????????)
• Coleman? ?????????worm hole scenario
  (????????????????????????????????
  ??????????????) Okada-Kawai (2011)

• ?????????????????????????????????? ??????????

16
3. ??????????IIB????
Kim-J.N.-Tsuchiya PRL 108 (2012) 011601
arXiv1108.1540
17
?????????IIB???????
Kim-J.N.-Tsuchiya PRL 108 (2012) 011601
arXiv1108.1540
????
???????????????? ?????????
(????????Wick???????????)
18
??????? N ??
??????????????? ?????????????????well-defined????

• ????????????????????????????????
• (IR?????????)

?????????????? ????

• ????2????????????N ????????????????
  (?????????????????)

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

19
?????????!
(2)
(1)
???????2????
(1) ??????????????Pfaffian
???N????? Pfaffian??????? ???????
????????????
??????? SO(10) ????SSB???????
J.N.-Vernizzi (00), Anagnostopoulos-J.N.(02)
20
?????????! (??)
(2) ??????????
???????????????????????????? (????????????????? ?
??????????????)
??? ????
???? ??
21
4. ????9d???? ????3d???
Kim-J.N.-Tsuchiya PRL 108 (2012) 011601
arXiv1108.1540
22
????????????
SU(N) transformation
???? t ???
small
?????????
small
23
????????
?????????? ???
24
SO(9)??????
Kim-J.N.-Tsuchiya, PRL 108 (2012) 011601
SSB
critical time
25
5. ??????????????
Ito-Kim-Koizuka-J.N.-Tsuchiya, in prep.
Ito-Kim-J.N.-Tsuchiya, work in progress
26
???????
Ito-Kim-J.N.-Tsuchiya, work in progress
SO(3)
SO(9)
???????????
????????
27
???????????
early times???????
late times???????
????????
early times???? ???????
late times???? ???????
quench fermions
28
Early times???????????
Ito-Kim-Koizuka-J.N.-Tsuchiya, in prep.

• early times???????????

???????????????????
29
late times??????????
Ito-Kim-J.N.-Tsuchiya, work in progress

• late times???????????

?????FRW ??
30
?????????IIB?????????????????
?????FRW ??
E-folding ??? ?????????????!
????????
(?????)
31
6. ????????????????
S.-W. Kim, J. N. and A.Tsuchiya, Phys. Rev. D86
(2012) 027901

arXiv1110.4803 S.-W. Kim, J. N. and
A.Tsuchiya, JHEP 10 (2012) 147 arXiv1208.0711
32
????????????????
????????????????????
????????

• ?? ??????????? (??????????)
• (31)???????????????
• ?????????????????????????
• ??????????????? well-defined??????
• late times??????????????????????
• ???????????????????
• ??????????????????????????

J. N. and A.Tsuchiya, PTEP 2013 (2013) 043B03
arXiv1208.4910
33
?????????????????

• ????

• ???????

• ????

??????Jacobi???
?????Ansatz????? ?????????????
Lie ??
?????? ???
34
SO(4) ?????? (RxS3 ??)
EOM
??

??S3???????
????????
35
SO(4) ?????? (RxS3 ??)
primary unitary series
???????? n3 ?????
??????
???????
?????!
?????? ??????consistent !
????
36
SO(4) ?????? (RxS3 ??) ??
?????? late-time???????????
????
????????????????
????????????????????????
???????????????
37
7. ??????
38
???
???????????? (10??????IIB??????)
??? IIB ???? (1996)
???????????????????????
????????? ???????????????? ????????????????????
??????????

• well-defined????????! (????????????????????N??
  ????)

• ???? ????????????

????????? ,
?????????????

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

• ??????? ?????? (????????, ???????????)
• ??? ( ) ???? later times????????????????
  ??
• ??? later times ????????????
• ?????????????????????

39
?????

• ??????? ????????????? ????????????????????????
  
• ????????????????(??????????) ???????
• CMB???????????????????
• ????????????????????????????? ????????
• ??????? Standard Model ??????

(??????)
?????????????????????
???????????, ?????, ?????, ?????, ????,
???????, baryogenesis, ????????, ?????? etc.
????????????????????????????????? ???????????????!