Boundary condition for a D-brane from the Wilson loop, and gravitational interpretation of an eigenvalue in the matrix model in AdS/CFT correspondence

Journal Article · Mon Jun 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.126010· OSTI ID:21301047

Kawamoto, Shoichi ^[1]; Kuroki, Tsunehide ^[2]; Miwa, Akitsugu ^[3]

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1. Department of Physics, National Taiwan Normal University, 88, Sec.4, Ting-Chou Road, Taipei 11650, Taiwan (China)
2. Department of Physics, Rikkyo University, Tokyo 171-8501 (Japan)
3. Institute of Physics, University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902 (Japan)

We study the supersymmetric Wilson loops in the four-dimensional N=4 super Yang-Mills theory in the context of 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, W{sub k}(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 S{sub D3} for a probe D3-brane with k electric fluxes as <W{sub k}(C)>=e{sup -S{sub D3}}. Given such correspondence, we pursue the interpretation of the matrix model eigenvalue density, or more precisely the resolvent, from the viewpoint of the probe D3-brane. We see that the position of an eigenvalue appears as the gauge field plus the scalar field integrated over the boundary of the probe D3-brane. In the course of our analysis, we also clarify the boundary condition on the D3-brane in terms of the Wilson loop.

• OSTI ID: 21301047
• Journal Information: Physical Review. D, Particles Fields, Vol. 79, Issue 12; Other Information: DOI: 10.1103/PhysRevD.79.126010; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
D-BRANES
DENSITY
EIGENVALUES
ELECTRONS
EXPECTATION VALUE
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GAUSSIAN PROCESSES
GRAVITATION
QUANTUM FIELD THEORY
SCALAR FIELDS
STRING MODELS
SUPERSYMMETRY
WILSON LOOP
YANG-MILLS THEORY