Enhanced Gauge Symmetry in M(atrix) Theory
Michael R. Douglas
TL;DR
This paper explores how enhanced gauge symmetry arises in M(atrix) theory through ALE and K3 compactifications, linking D-brane formalism with Kaluza-Klein modes and demonstrating a general construction applicable to arbitrary ALE metrics.
Contribution
It provides a detailed analysis of the origin of enhanced gauge symmetry in M(atrix) theory and extends the construction to arbitrary ALE metrics.
Findings
Wrapped membranes as D0 branes with twisted boundary conditions
Enhanced gauge symmetry linked to Kaluza-Klein excitations
Construction valid for arbitrary ALE metrics
Abstract
We discuss the origin of enhanced gauge symmetry in ALE (and K3) compactification of M theory, either defined as the strong coupling limit of the type IIa superstring, or as defined by Banks et al. In the D-brane formalism, wrapped membranes are D0 branes with twisted string boundary conditions, and appear on the same footing with the Kaluza-Klein excitations of the gauge bosons. In M(atrix) theory, the construction appears to work for arbitrary ALE metric.
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