Modified mode-expansion on a BPS wall related to the nonlinear realization

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file, 21 pages, no figures

Scientific paper

10.1088/1126-6708/2003/04/008

We propose a modified mode-expansion of the bulk fields in a BPS domain wall background to obtain the effective theory on the wall. The broken SUSY is nonlinearly realized on each mode defined by our mode-expansion. Our work clarifies a relation between two different approaches to derive the effective theory on a BPS wall, {\it i.e.} the nonlinear realization approach and the mode-expansion approach. We also discuss a further modification that respects the Lorentz and $U(1)_R$ symmetries broken by the wall.

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