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arxiv: 1706.06828 · v1 · pith:NSF56TEMnew · submitted 2017-06-21 · ✦ hep-th

Ghost-spin chains, entanglement and bc-ghost CFTs

classification ✦ hep-th
keywords chainsghost-spininteractionsnearestneighbourcftsentanglementfurther
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We study 1-dimensional chains of ghost-spins with nearest neighbour interactions amongst them, developing further the study of ghost-spins in previous work, defined as 2-state spin variables with indefinite norm. First we study finite ghost-spin chains with Ising-like nearest neighbour interactions: this helps organize and clarify the study of entanglement earlier and we develop this further. Then we study a family of infinite ghost-spin chains with a different Hamiltonian containing nearest neighbour hopping-type interactions. By defining fermionic ghost-spin variables through a Jordan-Wigner transformation, we argue that these ghost-spin chains lead in the continuum limit to the $bc$-ghost CFTs.

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