Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity |
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Authors: | S-J Rey J-T Yee |
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Institution: | (1) School of Physics & Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea, KR |
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Abstract: | We study some aspects of Maldacena's large-N correspondence between superconformal gauge theory on the D3-brane and maximal supergravity on AdS by introducing macroscopic strings as heavy (anti-) quark probes. The macroscopic strings are semi-infinite Type IIB strings
ending on a D3-brane world-volume. We first study deformation and fluctuation of D3-branes when a macroscopic BPS string is
attached. We find that both dynamics and boundary conditions agree with those for the macroscopic string in anti-de Sitter
supergravity. As a by-product we clarify how Polchinski's Dirichlet and Neumann open string boundary conditions arise dynamically.
We then study the non-BPS macroscopic string–anti-string pair configuration as a physical realization of a heavy quark Wilson
loop. We obtain the static potential from the supergravity side and find that the potential exhibits non-analyticity of the square-root branch
cut in the 't Hooft coupling parameter. We put forward non-analyticity as a prediction for large-N gauge theory in the strong 't Hooft coupling limit. By turning on the Ramond–Ramond zero-form potential, we also study the
vacuum angle dependence of the static potential. We finally discuss the possible dynamical realization of the heavy N-prong string junction and of the large-N loop equation via a local electric field and string recoil thereof. Throughout comparisons of the AdS–CFT correspondence,
we find that a crucial role is played by “geometric duality” between the UV and IR scales in directions perpendicular to the
D3-brane and parallel ones, explaining how the AdS spacetime geometry emerges out of four-dimensional gauge theory at strong coupling.
Received: 21 September 2001 / Published online: 12 November 2001 |
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