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From Defects to Boundaries

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abstract

In this paper we describe how relativistic field theories containing defects are equivalent to a class of boundary field theories. As a consequence previously derived results for boundaries can be directly applied to defects, these results include reduction formulas, the Coleman-Thun mechanism and Cutcosky rules. For integrable theories the defect crossing unitarity equation can be derived and defect operator found. For a generic purely transmitting impurity we use the boundary bootstrap method to obtain solutions of the defect Yang-Baxter equation. The groundstate energy on the strip with defects is also calculated.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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Fusion of Integrable Defects and the Defect $g$-Function

hep-th · 2026-05-20 · unverdicted · novelty 5.0

Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.

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  • Fusion of Integrable Defects and the Defect $g$-Function hep-th · 2026-05-20 · unverdicted · none · ref 22 · internal anchor

    Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.