Crosscap states and duality of Ising field theory in two dimensions
This paper proposes two distinct crosscap states for the 2D Ising field theory related by Kramers-Wannier duality, derives their Majorana and bosonized representations to compute correlation functions, and utilizes conformal perturbation theory to demonstrate the monotonicity of Klein bottle entropy under relevant perturbations, thereby establishing a general framework for studying perturbed 2D conformal field theories on non-orientable manifolds.