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

Preprint

28 January 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9907070

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) 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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All Related Versions

Version 1, 1999-07-10, ArXiv
Version 2, 2000-01-28, ArXiv
Published version: Nuclear Physics B, 573 (1-2), 127.

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