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- W1567508606 abstract "We study the supersymmetric Wilson loops in the four-dimensional N = 4 super Yang-Mills theory in the context of the AdS/CFT correspondence. In the gauge theory side, it is known that the expectation value of the Wilson loops of circular shape with winding number k, Wk(C), is calculable by using a Gaussian matrix model. In the gravity side, the expectation value of the loop is conjectured to be given by the classical value of the action SD3 for a probe D3-brane with k electric fluxes as ⟨Wk(C)⟩ = e−SD3 . However, according to the spirit of the AdS/CFT correspondence, in principle we have to perform the path integral for the D3-brane action in the AdS5×S under appropriate boundary conditions which should be given in terms of data of the Wilson loop at the AdS boundary. We clarify what kind of boundary conditions are imposed on the D3-brane from the Wilson loop. As an application, our boundary conditions provide a natural interpretation of a position of an eigenvalue in the Gaussian matrix model as an integrated flux on the D3-brane." @default.
- W1567508606 created "2016-06-24" @default.
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- W1567508606 date "2009-11-01" @default.
- W1567508606 modified "2023-09-23" @default.
- W1567508606 title "Boundary condition for D-brane from Wilson loop at the AdS boundary" @default.
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