Paperclip at $\theta =\pi$

Abstract

We study the ``paperclip'' model of boundary interaction with the topological angle $\theta$ equal to $\pi$. We propose exact expression for the disk partition function in terms of solutions of certain ordinary differential equation. Large distance asymptotic form of the partition function which follows from this proposal makes it possible to identify the infrared fixed point of the paperclip boundary flow at $\theta =\pi$.

22 pages, 4 figures

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Cited by in corpus (15)

• The ODE/IM Correspondence
• Non-compact String Backgrounds and Non-rational CFT
• Topological Superconductor-Luttinger Liquid Junctions
• Notes on parafermionic QFT's with boundary interaction
• Dirichlet sigma models and mean curvature flow
• Universal scaling behavior of the single electron box in the strong tunneling limit
• Quantum transfer-matrices for the sausage model
• Coulomb Blockade and Super Universality of the Theta-Angle
• Limiting Shapes of Ising Droplets, Ising Fingers, and Ising Solitons
• Dual Form of the Paperclip Model
• The problem of "macroscopic charge quantization" in single-electron devices
• Korshunov instantons out of equilibrium
• Path Integral over Reparametrizations: Levy Flights versus Random Walks
• Two-instanton approximation to the Coulomb blockade problem
• Instantons in the out-of-equilibrium Coulomb blockade