Asymmetric orbifolds, rank reduction and heterotic islands

Key Points

• Rank reduction of the gauge group occurs in six- and four-dimensional heterotic islands, with significant implications for string theory.
• The study develops a general formalism to examine components of the moduli space impacted by rank reduction.
• Analysis includes the role of the Leech lattice and its automorphisms, relevant for understanding invariant sublattices.
• Implications for massless moduli are explored, particularly with dilaton presence fulfilling important theoretical roles.