Modular conjugation for multicomponent regions

• URL: http://arxiv.org/abs/2209.10711v2
• Date: Fri, 21 Apr 2023 16:44:05 GMT
• Title: Modular conjugation for multicomponent regions
• Authors: Nicol\'as Abate, David Blanco, Mateo Koifman, Guillem P\'erez-Nadal
• Abstract summary: We consider a massless Dirac field in $1+1$ dimensions, and compute the Tomita-Takesaki modular conjugation corresponding to the vacuum state and a generic multicomponent spacetime region. We use our result to discuss the validity of duality in this model.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider a massless Dirac field in $1+1$ dimensions, and compute the Tomita-Takesaki modular conjugation corresponding to the vacuum state and a generic multicomponent spacetime region. We do it by analytic continuation from the modular flow, which was computed recently. We use our result to discuss the validity of Haag duality in this model.

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