Dynamical generation of gauge and Higgs bosons in N=2 supersymmetric non-linear sigma-models

TL;DR

This paper demonstrates how gauge and Higgs bosons can emerge dynamically in N=2 supersymmetric non-linear sigma-models, linking non-perturbative phenomena, string theory, and D-brane physics.

Contribution

It rewrites a non-linear sigma-model into a gauged linear form and shows the dynamical generation of gauge and Higgs bosons through quantum corrections, connecting to superstring and D-brane theories.

Findings

Dynamical gauge bosons emerge from quantum effects in N=2 sigma-models.

Composite Higgs particles are identified as physical states.

Connections to superstring zero modes and D-brane phenomena are established.

Abstract

A four-dimensional N=2 supersymmetric non-linear sigma-model with the Eguchi-Hanson (ALE) target space and a non-vanishing central charge is rewritten to a classically equivalent and formally renormalizable gauged `linear' sigma-model over a non-compact coset space in N=2 harmonic superspace by making use of an N=2 vector gauge superfield as the Lagrange multiplier. It is then demonstrated that the N=2 vector gauge multiplet becomes dynamical after taking into account one-loop corrections due to quantized hypermultiplets. This implies the appearance of a composite gauge boson, a composite chiral spinor doublet and a composite complex Higgs particle, all defined as the physical states associated with the propagating N=2 vector gauge superfield. The composite N=2 vector multiplet is further identified with the zero modes of a superstring ending on a D-6-brane. Some non-perturbative phenomena, such as the gauge symmetry enhancement for coincident D-6-branes and the Maldacena conjecture, turn out to be closely related to our NLSM via M-theory. Our results support a conjecture about the composite nature of superstrings ending on D-branes.