A derivation of braided C*-tensor categories from gapped ground states satisfying the approximate Haag duality
Yoshiko Ogata
Abstract
We derive braided C*-tensor categories from gapped ground states on two-dimensional quantum spin systems satisfying some additional condition, which we call the approximate Haag duality.
Topics & Concepts
Duality (order theory)Tensor (intrinsic definition)Ground stateMathematicsMathematical physicsPhysicsQuantumPure mathematicsTheoretical physicsQuantum mechanicsAlgebraic structures and combinatorial modelsBlack Holes and Theoretical PhysicsQuantum many-body systems