Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-02-05
Nucl.Phys. B551 (1999) 155-182
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, latex, epsf, 1 encapsulated figure file
Scientific paper
10.1016/S0550-3213(99)00170-4
We present a calculation of the matrix theory 2-loop effective action for a D0-brane in the background of the recently discussed D0-D6 bound state configuration. The effective DBI action of a D0-brane probe in the background of the corresponding 4-dimensional non-supersymmetric black hole solution to low-energy type IIA string theory compactified on a 6-torus is known to agree with the matrix theory calculation at 1-loop order, in the limit in which the ratio of the D0-brane to the D6-brane charges carried by the black hole is large. Agreement at 2-loop between the supergravity description and a conjectured nonabelian BDI effective superYang-Mills description has also been recently reported. However, we find uncanceled ultraviolet divergences in our direct matrix theory calculation of the 2-loop effective action. This is consistent with the expected nondecoupling of massive open string states from the 6-brane.
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