Band spectrum is D-brane

Understand

We show that band spectrum of topological insulators can be identified as the shape of D-branes in string theory.

• The identification is based on a relation between the Berry connection associated with the band structure and the ADHM/Nahm construction of solitons whose geometric realization is available with D-branes.
• We also show that chiral and helical edge states are identified as D-branes representing a noncommutative monopole.