Probing D0-D6 Black Hole Configuration: 2-Loop Matrix Theory Correction to D0-Brane Effective Action
arXiv:hep-th/9902043 · doi:10.1016/S0550-3213(99)00170-4
Abstract
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.
25 pages, latex, epsf, 1 encapsulated figure file
References in corpus (9)
- Why is the Matrix Model Correct?
- Long-distance interactions of branes: correspondence between supergravity and super Yang-Mills descriptions
- Adhering 0-branes to 6-branes and 8-branes
- Statistical Entropy of an Extremal Black Hole with 0- and 6-Brane Charge
- Probing 4-Dimensional Nonsupersymmetric Black Holes Carrying D0- and D6-brane charges
- Comparing D-branes and Black Holes with 0- and 6-brane Charge
- More on Probing Branes with Branes
- Four-Brane and Six-Brane Interactions in M(atrix) Theory
- Probing a D6 + D0 state with D6-branes: SYM - Supergravity correspondence at subleading level