1/2-BPS states in M theory and defects in the dual CFTs

Details 1/2-BPS states in M theory and defects in the dual CFTs 1/2-BPS states in M theory and defects in the dual CFTs

2007-04-25

arxiv.org/abs/0704.3442v2

JHEP0710:014,2007

Physics

High Energy Physics

High Energy Physics - Theory

82 pages, 12 figures, added refs

Scientific paper

10.1088/1126-6708/2007/10/014

We study supersymmetric branes in AdS_7 x S^4 and AdS_4 x S^7. We show that in the former case the membranes should be viewed as M5 branes with fluxes and we identify two types of such fivebranes (they are analogous to giant gravitons and to dual giants). In AdS_4 x S^7 we find both M5 branes with fluxes and freestanding stacks of membranes. We also go beyond probe approximation and construct regular supergravity solutions describing geometries produced by the branes. The metrics are completely specified by one function which satisfies either Laplace or Toda equation and we give a complete classification of boundary conditions leading to smooth geometries. The brane configurations discussed in this paper are dual to various defects in three- and six-dimensional conformal field theories.

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