
arXiv: hep-th/0501155
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 $\theta=\pi$.
Comment: 22 pages, 4 figures
[PHYS.COND.CM-MSQHE] Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall], High Energy Physics - Theory, Condensed Matter - Mesoscale and Nanoscale Physics, two-dimensional sigma model with boundary condition, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], Model quantum field theories, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, paperclip model, Mathematical Physics
[PHYS.COND.CM-MSQHE] Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall], High Energy Physics - Theory, Condensed Matter - Mesoscale and Nanoscale Physics, two-dimensional sigma model with boundary condition, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], Model quantum field theories, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, paperclip model, Mathematical Physics
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