Solitons, D-Branes, and Black Holes

  • Michio Kaku
Part of the Graduate Texts in Contemporary Physics book series (GTCP)


We have seen that these BPS saturated states are essential to prove the duality relationships that we have conjectured. The important point is that it is possible to construct all of thesep-brane states as solitons, solitonlike solutions (called D-branes), or as supersymmetric actions. Solitons are a powerful way in which to probe the nonperturbative structure of a theory, so it is not surprising that solitons and solitonlike objects will play an important part in filling out the BPS states of the theory. Even if we start with a theory which consists purely of strings, we are forced to admit the presence of these membrane states because they are solutions to the classical equations of motion.


Black Hole Event Horizon Open String Gauge Field Background Field 
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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Michio Kaku
    • 1
  1. 1.Department of PhysicsCity College of the City University of New YorkNew YorkUSA

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