Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-09-24
Nucl.Phys. B728 (2005) 1-30
Physics
High Energy Physics
High Energy Physics - Theory
34 pages
Scientific paper
10.1016/j.nuclphysb.2005.09.001
We investigate the gauge/gravity duality in the interaction between two spherical membranes in the 11-dimensional pp-wave background. On the supergravity side, we find the solution to the field equations at locations close to a spherical source membrane, and use it to obtain the light cone Lagrangian of a spherical probe membrane very close to the source, i.e., with their separation much smaller than their radii. On the gauge theory side, using the BMN matrix model, we compute the one-loop effective potential between two membrane fuzzy spheres. Perfect agreement is found between the two sides. Moreover, the one-loop effective potential we obtain on the gauge theory side is valid beyond the small-separation approximation, giving the full interpolation between interactions of membrane-like objects and that of graviton-like objects.
Lee Hok Kong
McLoughlin Tristan
Wu Xinkai
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