arXiv Open Access 2024

The c-d conjecture

José I. Latorre Germán Sierra

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Abstrak

We conjecture a relation between the local dimension $d$ of a local nearest-neighbor critical Hamiltonian in one spatial dimension and the maximum central charge, $c_{\text{max}}$, that it can yield. Specifically, we propose that $c_{\text{max}} \leq d-1$, establishing a link between the short-distance lattice realization of a model and its emerging long-distance entanglement properties. This inequality can be viewed as a general form of a $c$-theorem establishing the reduction of effective degrees of freedom between the UV lattice and the IR conformal field theory. We support this conjecture with numerous examples.

Topik & Kata Kunci

cond-mat.stat-mech hep-th quant-ph

Penulis (2)

José I. Latorre

Germán Sierra

Format Sitasi

APA MLA BibTeX

Latorre, J.I., Sierra, G. (2024). The c-d conjecture. https://arxiv.org/abs/2403.17242

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓