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Article Dans Une Revue Nuclear Physics B Année : 2012

Conformal boundary state for the rectangular geometry

Résumé

We discuss conformal field theories (CFTs) in rectangular geometries, and develop a formalism that involves a conformal boundary state for the open system. We focus on the case of homogeneous boundary conditions (no insertion of a boundary condition changing operator), for which we derive an explicit expression of the associated boundary state, valid for any arbitrary CFT. We check the validity of our solution, comparing it with known results for partition functions, numerical simulations of lattice discretizations, and coherent state expressions for free theories.
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Dates et versions

hal-01984169 , version 1 (20-04-2023)

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R. Bondesan, Jerome Dubail, J. Jacobsen, Hubert Saleur. Conformal boundary state for the rectangular geometry. Nuclear Physics B, 2012, 862 (2), pp.553-575. ⟨10.1016/j.nuclphysb.2012.04.021⟩. ⟨hal-01984169⟩
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