1/4 BPS solutions in massive IIA supergravity

Details 1/4 BPS solutions in massive IIA supergravity 1/4 BPS solutions in massive IIA supergravity

2001-05-27

arxiv.org/abs/hep-th/0105263v3

Prog.Theor.Phys. 106 (2001) 653-670

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, PTPTeX, typos corrected, reference added

Scientific paper

10.1143/PTP.106.653

We study four kinds of 1/4 BPS solutions in massive IIA supergravity corresponding to D8-D0-F1, D8-D2, D8-D4 and D8-D6-NS5 systems. We show that these solutions are reproduced without making nontrivial assumptions by using supersymmetry conditions. D8-D2 and D8-D4 solutions are represented by harmonic functions, as usual, while the other two are represented by solutions of non-linear differential equations. Because these four solutions can be treated in almost identical ways, we mainly focus on the D8-D6-NS5 systems. We first discuss D6-NS5 solutions with uniform mass parameters. Then, we introduce D8-branes as domain walls by connecting two solutions with different values of the mass parameter. We also discuss boundary conditions and supersymmetry on domain walls.

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