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Macroscopic strings as heavy quarks in large N gauge theory and Anti-de Sitter supergravity
| Venue: | PHYS. J. C22 |
| Citations: | 505 - 1 self |
BibTeX
@ARTICLE{Rey_macroscopicstrings,
author = {Soo-jong Rey and Jung-tay Yee},
title = {Macroscopic strings as heavy quarks in large N gauge theory and Anti-de Sitter supergravity },
journal = {PHYS. J. C22},
year = {},
pages = {9803001}
}
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Abstract
Maldacena has put forward large N correspondence between superconformal field theories on the brane and anti-de Sitter supergravity in spacetime. We study some aspects of the correspondence between N = 4 superconformal gauge theory on D3-brane and maximal supergravity on adS5 × S5 by introducing macroscopic strings as heavy (anti)-quark probes. The macroscopic strings are semi-infinite Type IIB strings ending on D3-brane world-volume. We first study deformation and fluctuation of D3-brane when a macroscopic BPS string is attached. We find that both dynamics and boundary conditions agree with those for macroscopic string in anti-de Sitter supergravity. As a by-product we clarify how Polchinski’s Dirichlet and Neumann open string boundary conditions arise. We then study non-BPS macroscopic string anti-string pair configuration as physical realization of heavy quark Wilson loop. We obtain Q ¯ Q static potential and again find agreements between the gauge theory and the supergravity results. By turning on Ramond-Ramond zero-form potential, we also study θ vacuum angle dependence of the static potential. We finally discuss dynamical realization of loop equation via turning on local electric field and recoil of heavy quark thereof, and of heavy baryon via of N-prong string junction. Throughout comparisons of the correspondence, we emphasize crucial role played by ‘geometric duality ’ between coordinates perpendicular to D3-brane and parallel ones, hinting a possible explanation of emergence of the entire adS5 spacetime.
Keyphrases
macroscopic string anti-de sitter supergravity heavy quark large gauge theory static potential boundary condition semi-infinite type iib string dynamical realization crucial role vacuum angle dependence heavy quark thereof entire ads5 spacetime non-bps macroscopic loop equation d3-brane world-volume superconformal field theory local electric field anti-string pair configuration physical realization ads5 s5 parallel one supergravity result quark probe macroscopic bps string maximal supergravity heavy baryon heavy quark wilson loop possible explanation large correspondence ramond-ramond zero-form potential gauge theory geometric duality superconformal gauge theory
