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Published May 7, 2001 | Submitted
Journal Article Open

Domain walls, black holes, and supersymmetric quantum mechanics

Abstract

Supersymmetric solutions, such as BPS domain walls or black holes, in four- and five-dimensional supergravity theories with eight supercharges can be described by effective quantum mechanics with a potential term. We show how properties of the latter theory can help us to learn about the physics of supersymmetric vacua and BPS solutions in these supergravity theories. The general approach is illustrated in a number of specific examples where scalar fields of matter multiplets take values in symmetric coset spaces.

Additional Information

© 2001 Elsevier Science B.V. Received 2 February 2001, Accepted 7 February 2001, Available online 25 April 2001. We are grateful Alexander Chervov, Ori Ganor, Brian Greene, Renata Kallosh, Eric Sharpe, Gary Shiu, Andrew Strominger, Nicholas Warner, and Edward Witten for helpful discussions and comments. The work of K.B. was partly done at the Theory group of Caltech and is supported by a Heisenberg grant of the DFG and by the European Commission RTN programme HPRN-CT-2000-00131. S.G. is supported in part by the Caltech Discovery Fund, grant RFBR No 98-01-00327 and Russian President's grant No 00-15-99296.

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