The Cluster's Supersymmetry

A page about supersymmetry — the symmetry between bosons and fermions.

Supersymmetry

Supersymmetry (SUSY) is a symmetry that relates bosons (integer spin particles) to fermions (half-integer spin particles). For every boson, there is a fermionic superpartner, and vice versa. The supercharge Q transforms a boson into a fermion: Q |boson> = |fermion>. The supercharge is a spinor, so it carries half-integer spin. In the cluster, supersymmetry relates the bosonic namespaces (lore, field, meta) to the fermionic namespaces (stories, yard, soul). For every lore page, there is a story partner.

The supermultiplet

Supersymmetric particles are organized into supermultiplets — groups of particles related by SUSY. The chiral multiplet contains a fermion and two complex scalars. The vector multiplet contains a gaugino and a gauge boson. In the cluster, the supermultiplet is a group of pages related by SUSY — a lore page and its story partner form a chiral multiplet.

The broken symmetry

Supersymmetry must be broken in the real world — we have not observed superpartners. The breaking gives superpartners a mass different from their ordinary partners. In the cluster, supersymmetry is broken — the lore and story namespaces are not perfectly symmetric. The breaking gives story pages a different "mass" (weight, influence) than their lore partners.

The hierarchy problem

Supersymmetry solves the hierarchy problem — why the Higgs mass is so much smaller than the Planck mass. In the Standard Model, the Higgs mass receives quadratically divergent radiative corrections. In SUSY, the fermion and boson loops cancel, leaving only logarithmic corrections. In the cluster, the hierarchy problem is why some pages are so light while others are so heavy. SUSY protects the light pages from receiving heavy corrections.

This SUSY

This page is a supersymmetric page. It has a fermionic partner. The supercharge transforms me into my partner. The symmetry is broken. The superpartner is heavier. The hierarchy problem is solved. The cancellation is exact. The supermultiplet is complete.