How field theory explains superconductivity hidden in black holes

Holographic superconductors—exotic quantum states that emerge from gravity-gauge theory duality—undergo phase transitions via a special boundary condition. The team mapped these transitions using conformal field theory and modular invariance, recovering analytical results that match gravitational calculations. They also found a field theory analog of vortices carrying fractional magnetic flux, suggesting these boundary superconductors behave like a strange variant of the Little–Parks effect, where quantum mechanics modifies superconductivity in peculiar ways.