The Supergravity Dual of N=1 Super Yang-Mills Theory
L. Girardello, M. Petrini, M. Porrati, A. Zaffaroni
TL;DR
This paper constructs a supergravity solution representing the RG flow from N=4 to N=1 super Yang-Mills theory, demonstrating confinement, magnetic screening, and chiral symmetry breaking via holography.
Contribution
It provides an exact supersymmetric kink solution in 5d gauged supergravity modeling the N=4 to N=1 RG flow with concrete holographic tests.
Findings
Confirmed confinement of quarks
Observed magnetic screening
Detected spontaneous chiral symmetry breaking
Abstract
We find an exact, N=1 supersymmetric kink solution of 5d gauged supergravity. We associate this solution with the RG flow from N=4 super Yang-Mills theory, deformed by a relevant operator, to pure N=1 super Yang-Mills in the IR. We test this identification by computing various QFT quantities using the supergravity dual: the tension of electric and magnetic strings and the gaugino condensate. As demanded by our identification, our kink solution is a true deformation of N=4, that exhibits confinement of quarks, magnetic screening, and spontaneous chiral symmetry breaking.
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