TL;DR
This paper explores the Hosotani mechanism within closed-string theory, comparing it to the Higgs mechanism, and analyzes gauge symmetry breaking through operator methods and amplitude calculations.
Contribution
It introduces a detailed operator-based description of the Hosotani mechanism in closed-string theory and compares it with the Higgs mechanism using explicit amplitude calculations.
Findings
Gauge symmetry breaking via Hosotani mechanism is characterized in closed-string theory.
Differences between Hosotani and Higgs mechanisms are clarified through four-point amplitude analysis.
The study highlights the role of current algebra symmetry in string-based gauge symmetry breaking.
Abstract
The Hosotani mechanism in the closed-string theory with current algebra symmetry is described by the (old covariant) operator method. We compare the gauge symmetry breaking mechanism in a string theory which contains SU(2) symmetry originated from current algebra with the one in an equivalent compactified closed-string theory. We also investigate the difference between the Hosotani mechanism and the Higgs mechanism in closed-string theories by calculation of a four-point amplitude of `Higgs' bosons at tree level.
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