Holography of Wilson-loop expectation values Holography of Wilson-loop expectation values with local operator insertions with local operator insertions Akitsugu Miwa ( Univ. of Tokyo, Komaba ) work in collaboration with Tamiaki Yoney a based on hep-th/0609007
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Holography of Wilson-loop expectation values with local operator insertions Akitsugu Miwa ( Univ. of Tokyo, Komaba ) work in collaboration with Tamiaki.
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Holography of Wilson-loop expectation valuesHolography of Wilson-loop expectation values
with local operator insertionswith local operator insertions Akitsugu Miwa ( Univ. of Tokyo, Komaba )
work in collaboration with Tamiaki Yoneya
based on hep-th/0609007
introduction and motivationJ.M.Maldacena(1997)AdS/CFT correspondence:AdS/CFT correspondence:
present status and aim of this talk:present status and aim of this talk:
generic loop: difficult
circle, straight line: well studied
small deformation of circle or straight line
status
this talk
4-dim, 4, SU(N), SYM IIB superstring on
Wilson loop in AdS/CFT:Wilson loop in AdS/CFT: S.J.Rey, J.Yee(1998), J.M. Maldacena(1998)
Wilson loop string world sheet
boundary
AdS5
deformation of loop and local operator insertion:deformation of loop and local operator insertion:
Wilson loop:
deformation of loop:
large R-charge local operator insertions:large R-charge local operator insertions: N. Drukker S. Kawamoto (2006)
corresponding string world sheet:corresponding string world sheet:
we consider: string world sheet with large angular momentum
SO(6) symmetry:SO(6) symmetry:
large R-charge
gauge theory side
R symmetry : SO(6): ( rotation of 6 scalars )
U(1) sub-group: rotation of a phase of
string theory side
isometry on S5 : SO(6)
U(1) sub-group: rotation in 5-6 plain
4
5 6
question:question:
SYM side:
string side: near boundary separated from boundary?
path of large angular momentum mode:path of large angular momentum mode:
classical path do not reach the boundarybecause of a potential barrier