“There are five fundamental operations in mathematics,” the German mathematician Martin Eichler supposedly said. “Addition, subtraction, multiplication, division and modular forms.” Part of the joke, ...
The 1-form symmetries in two-dimensional topological systems are “shadowed” as global symmetries in their one-dimensional quantum transfer matrices. In this work, we introduce a distinct shadow effect ...
Symmetries lie at the heart of general relativity, linking geometric invariance to fundamental conserved quantities. A symmetry of spacetime is represented by a vector field whose flow preserves ...