Crossing-symmetric twist field correlators and entanglement negativity in minimal CFTs

被引：0

作者：

Filiberto Ares

Raoul Santachiara

Jacopo Viti

机构：

[1] International Institute of Physics,

[2] UFRN,undefined

[3] Université Paris-Saclay,undefined

[4] CNRS,undefined

[5] LPTMS,undefined

[6] International Institute of Physics & ECT,undefined

[7] UFRN,undefined

[8] INFN,undefined

[9] Sezione di Firenze,undefined

来源：

Journal of High Energy Physics | / 2021卷

关键词：

Conformal and W Symmetry; Conformal Field Theory; Field Theories in Lower Dimensions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study conformal twist field four-point functions on a ℤN orbifold. We examine in detail the case N = 3 and analyze theories obtained by replicated N-times a minimal model with central charge c < 1. A fastly convergent expansion of the twist field correlation function in terms of sphere conformal blocks with central charge Nc is obtained by exploiting covering map techniques. We discuss extensive applications of the formalism to the entanglement of two disjoint intervals in CFT, in particular we propose a conformal block expansion for the partially transposed reduced density matrix. Finally, we refine the bounds on the structure constants of unitary CFTs determined previously by the genus two modular bootstrap.

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