Exact absorption probabilities for the D3-brane

Details Exact absorption probabilities for the D3-brane Exact absorption probabilities for the D3-brane

1998-05-21

arxiv.org/abs/hep-th/9805140v2

Commun.Math.Phys. 203 (1999) 325-340

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure, small corrections

Scientific paper

10.1007/s002200050614

We consider a minimal scalar in the presence of a three-brane in ten dimensions. The linearized equation of motion, which is just the wave equation in the three-brane metric, can be solved in terms of associated Mathieu functions. An exact expression for the reflection and absorption probabilities can be obtained in terms of the characteristic exponent of Mathieu's equation. We describe an algorithm for obtaining the low-energy behavior as a series expansion, and discuss the implications for the world-volume theory of D3-branes.

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