Modular conjugation for multicomponent regions (2209.10711v2)

Published 21 Sep 2022 in hep-th, math-ph, math.MP, and quant-ph

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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