Proposed holographic dual of the minimal standard model

[mitchell porter]

TL;DR

Proposed holographic dual of the minimal standard model in AdS4

"Making the Great Desert Bloom" (Distler, Karch)

This paper proposes that a specific 3D CFT is the holographic dual of the standard model on AdS4. The dual is a Chern-Simons theory described in section 4, starting on page 9, where we get the Chern-Simons gauge group, with fermions on page 10 and scalars on page 11. Page 13 (after equation 4.21) suggests how three generations arise.

They do not seem to propose any specific method for uplifting this to an expanding spacetime like dS4, but there is a minor literature speculating on relations between holographic AdS4 and dS4.

Years ago I was interested in the "Scenario I" 3D CFT appearing in Klebanov et al 2008, which is dual to the Nicolai-Warner vacuum, the object of attempts at standard model phenomenology by Murray Gell-Mann, and by Herman Nicolai and collaborators. It might be interesting to compare the two CFTs.

 

[ohwilleke]

The abstract reads as follows:

The absence of new physics beyond neutrino masses between the weak scale and the Planck scale is referred to as the great desert. It is often seen as a nightmare scenario for particle physics.

Here we argue, by contrast, that the great desert assumption in fact has dramatic implications: it predicts that the Standard Model has a semi-classical AdS4 vacuum with CFT3 dual and, under reasonable assumptions, must be accompanied by at least one extra dimension significantly larger than Planck length. We also present one plausible candidate CFT3 to be ``the" dual to the Standard Model.

Some of the conclusions like "must be accompanied by at least one extra dimension significantly larger than Planck length" seem excessive and presumably are justified by the "reasonable assumptions" qualification which may not actually be as reasonable as they are claimed to be.