Abstract
We study a gauge theory in a 5D warped space via the dimensional deconstruction that a higher dimensional gauge theory is constructed from a moose of 4D gauge groups. By the AdS/CFT correspondence, a 5D warped gauge theory is dual to a 4D conformal field theory (CFT) with a global symmetry. As far as physics of the gauge theory, we obtain the one-to-one correspondence between each component of a moose of gauge groups and that of a CFT. We formulate a supersymmetric extension of deconstruction and explore the framework of natural supersymmetry in a 5D warped space — the super-symmetric Randall-Sundrum model with the IR-brane localized Higgs and bulk fermions — via the gauge moose. In this model, a supersymmetry breaking source is located at the end of the moose corresponding to the UV brane and the first two generations of squarks are decoupled. With left-right gauge symmetries in the bulk of the moose, we demonstrate realization of accidental or emergent supersymmetry of the Higgs sector in comparison with the proposed “Moose/CFT correspondence.”
Highlights
Groups are connected by bi-fundamental scalar fields with nonzero expectation values, and this theory reproduces physics of the higher dimensional gauge theory at low energies (See the moose diagram in figure 2 for instance)
We study a gauge theory in a 5D warped space via the dimensional deconstruction that a higher dimensional gauge theory is constructed from a moose of 4D gauge groups
One interesting aspect of the gauge theory coupled to a superconformal field theory (SCFT) — the dual picture of the 5D gauge theory — is emergence of supersymmetry at low energies even if SUSY is badly broken in the UV region, as shown in ref
Summary
We concentrate on the following background geometry in this paper: a 5D warped space whose extra dimension is compactified on an interval, 0 ≤ y ≤ πR. The action is given as with (2.6) except ANμ = 0 In this case, the nonzero VEVs of the link fields break the U(1)N gauge symmetry completely and all the gauge bosons become massive. To illustrate the correspondence with an example, we take a U(1)N+1 gauge theory presented in the previous section (see figure 2) and calculate the effective action — the functional of A0μ — to give the n-point functions of the corresponding CFT operator [36]. We present the correspondence between the gauge coupling of a gauge moose theory and the beta function coefficient contribution from the dual CFT. This represents that the coordinate along the AdS is the energy scale in the CFT and the inverse of the (dimensionless) gauge coupling squared g52k corresponds to the beta function contribution from the CFT sector, bCFT ↔ 1/(g52k).
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