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Published May 1, 2000 | public
Journal Article

Domain walls of D = 5 supergravity and fixed points of N = 1 super-Yang–Mills

Behrndt, Klaus

Abstract

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) AdS5 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 multiplets, but not to scalars from hypermultiplets. We discuss the c-theorem, the β-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).

Additional Information

© 2000 Elsevier Science B.V. Received 10 August 1999, Accepted 9 December 1999, Available online 12 April 2000.

Additional details

Created:
August 21, 2023
Modified:
October 17, 2023