Fusion of Critical Defect Lines in the 2D Ising Model
arXiv:1303.3616 · doi:10.1088/1742-5468/2013/08/P08008
Abstract
Two defect lines separated by a distance delta look from much larger distances like a single defect. In the critical theory, when all scales are large compared to the cutoff scale, this fusion of defect lines is universal. We calculate the universal fusion rule in the critical 2D Ising model and show that it is given by the Verlinde algebra of primary fields, combined with group multiplication in O(1,1)/Z_2. Fusion is in general singular and requires the subtraction of a divergent Casimir energy.
arXiv comment17 pages
References in corpus (9)
- Generalised twisted partition functions
- Boundary conformal field theory approach to the two-dimensional critical Ising model with a defect line
- Kramers-Wannier duality from conformal defects
- Scattering Theory and Correlation Functions in Statistical Models with a Line of Defect
- Defect Lines in the Ising Model and Boundary States on Orbifolds
- A worldsheet extension of O(d,d;Z)
- Exceptional boundary states at c=1
- Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in AdS(5) x S(5)
- Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
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- Defect conformal field theory from Sachdev-Ye-Kitaev interactions
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