Eur. Phys. J. C 22, 379-394 (2001)
Macroscopic strings as heavy quarks: Large- N gauge theory and anti-de Sitter supergravityS.-J. Rey and J.-T. Yee
School of Physics & Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea
(Received: 21 September 2001 / Published online: 12 November 2001 - © Springer-Verlag / Società Italiana di Fisica 2001 )
We study some aspects of Maldacena's large- N correspondence between superconformal gauge theory on the D3-brane and maximal supergravity on 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 AdS5 spacetime geometry emerges out of four-dimensional gauge theory at strong coupling.
© Società Italiana di Fisica, Springer-Verlag 2001