Effective Lagrangians on Domain Walls and Other Solitons

Details Effective Lagrangians on Domain Walls and Other Solitons Effective Lagrangians on Domain Walls and Other Solitons

2007-03-14

arxiv.org/abs/hep-th/0703136v1

PoSSTRINGSLHC:025,2006

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Proceedings of the conference ``From Strings to LHC''

Scientific paper

Maintaining the preserved supersymmetry helps to find the effective Lagrangian on the BPS background in gauge theories with eight supercharges. As concrete examples, we take 1/2 BPS domain walls. The Lagrangian is given in terms of the superfields with manifest four preserved supercharges and is expanded in powers of the slow-movement parameter lambda. The O(lambda^0) gives the superfield form of the BPS equations, whereas all the fluctuation fields follow at O(lambda^1). The effective Lagrangian is given by the density of the K"ahler potential which emerges automatically from the lambda expansion making four preserved supercharges manifest. More complete account of our method and applications is given in hep-th/0602289 in which the case of non-Abelian vortices is also worked out.

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