Holographic Interface and Collaboration in Theoretical Physics
Dive into the fascinating world of theoretical physics with a focus on holographic interfaces, collaborations, main achievements in gauge theory and gravity calculations, along with explorations of quantum field theory, AdS/CFT correspondence, and more. Discover the intricate interplay between holography, string theory, quantum field theory, and gravity within the context of AdS/CFT correspondence and beyond.
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Presentation Transcript
Holographic Interface
Collaboration with K. Nagasaki H. Tanida K. Nagasaki, SY, arXiv:1205.1674 [hep-th] K. Nagasaki, H. Tanida, SY, JHEP 1201 (2012) 139
Main achievement (Gauge theory calculation) (Gravity calculation)
Interface QFT QFT
Point of viewExtension of boundary CFT CFT Boundary Interface Boundary CFT Interface CFT CFT CFT
Point of view test membrane 4 dim Test particle (Wilson loop, t Hooft loop,...) Test membrane (Interface)
Motivations String worldsheet Statistical mechanics AdS/CFT correspondence AdS/CFT Extra dimensions in particle physics
Holography (AdS/CFT correspondence) (Gravity) = (Lower dimensional non-gravitational QFT)
AdS/CFT Correspondence Certain gravity theory (String theory) Quantum field theory without gravity Interface Brane, etc Want to check
Physical quantities One point function of local operators
Strategy Gravity Gauge theory One point function Prescription QFT QFT Compare Classical calculation Result in gravity Result in gauge theory
Result Agree nontrivially
N=4 Super Yang-Mills Fields Adjoint rep. of the gauge group SU(N) SU N Action
Large N limit : gauge coupling : t Hooft coupling Large N limit Fix
1/2 BPS Interface Junction condition (boundary condition) here Fuzzy funnel background Use [Constable, Myers, Tafjord], [Gaiotto, Witten]
1/2BPS Nahm equation Solution k dim irrep of SU(2) SU(2) k
Path integral with the boundary condition that fields approach to the solution in
One point function Chiral primary operator Traceless symmetric
Evaluate one point function classically Just substitute
Example Quiz = ? k dim irrep of SU(2) k
AdS/CFT correspondence IIB Superstring AdS5 x S5 4dim N=4 SYM SU(N) ? Interface ?
D3 system type IIB string N D3-branes 0123 direction low energy open string Near horizon AdS5 x S5 4dim N=4 SYM
D3-D5 system 1 D5-brane 012 456 direction Low energy N D3-brane 0123 direction Near horizon N-k AdS5 x S5 + D5-brane probe AdS4 x S2 (with magnetic flux) SU(N-k) SU(N) Interface
Description in the gravity side [Karch, Randall] D5-brane magnetic flux
One point function Scalar field GKPW source
Comparison to the gauge theory side Gauge Large Agree Gravity Large
One point function AdS5 x S5 N=4 SYM probe D5-brane One point function SU(N) SU(N-k) GKPW Classical calculation Agree
Why agree? Calculation in gravity side Calculation in gauge theory side Valid in Valid in Gravity side Positive power series in since k is large. cf [Berenstein, Maldacena, Nastase]
Future problem Can reproduce from the perturbative calculation in the gauge theory side?
