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<p>For vector/AdS and dS holography we establish the structure of the emergent Hilbert space. This is done through implementation of finite <i>N</i> trace relations on the infinite collective space. For fermionic theories a finite Hilbert space is established, while for bosonic theories a space of freely acting primaries multiplied by a finite set of secondaries emerges. The Hilbert space of states obey finite <i>N</i> cut off bounds, implying finiteness of traces and entropy.</p>

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Finite N Hilbert spaces of bilocal holography

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月9日

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  • Robert de Mello Koch,
  • Antal Jevicki,
  • Junggi Yoon

摘要

For vector/AdS and dS holography we establish the structure of the emergent Hilbert space. This is done through implementation of finite N trace relations on the infinite collective space. For fermionic theories a finite Hilbert space is established, while for bosonic theories a space of freely acting primaries multiplied by a finite set of secondaries emerges. The Hilbert space of states obey finite N cut off bounds, implying finiteness of traces and entropy.