Domain walls of D=5 supergravity and fixed points of N=1 Super Yang Mills

Details Domain walls of D=5 supergravity and fixed points of N=1 Super Yang Mills Domain walls of D=5 supergravity and fixed points of N=1 Super Yang Mills

1999-07-09

arxiv.org/abs/hep-th/9907070v2

Nucl.Phys. B573 (2000) 127-148

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, Latex, 2 figures, small corrections and ref added

Scientific paper

10.1016/S0550-3213(99)00773-7

Employing the AdS/CFT correspondence, we give an explicit supergravity picture for the renormalization group flow of couplings 4-d super Yang Mills with four supercharges. The solution represents a domain wall of 5-d, N=2 supergravity, that interpolates between two (different) AdS_5 vacua and is obtained by gauging a U(1) subgroup of the SU(2) R-symmetry. On the supergravity side the domain wall couples only to scalar fields from vector mulitplets, but not to scalars from hyper multiplets. We discuss the c-theorem, the beta-functions and consider two examples: one is the sugra solution related to Z_k orbifolds (corresponding to N=2 SYM) and the other is an orientifold construction for an elliptically fibered CY with F_1 basis (corresponding to N=1 SYM).

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