Communications in Mathematical Physics

, Volume 203, Issue 2, pp 325–340 | Cite as

Exact Absorption Probabilities for the D3-Brane

  • Steven S. Gubser
  • Akikazu Hashimoto


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.


Reflection Wave Equation Series Expansion Exact Expression Absorption Probability 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Steven S. Gubser
    • 1
  • Akikazu Hashimoto
    • 2
  1. 1.Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, USA.¶E-mail: ssgubser@viper.princeton.eduUS
  2. 2.Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, USAUS

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