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<p>In de Sitter (dS) holography, both the dS/CFT correspondence and the dS static patch holography have been extensively studied. In these two holographic frameworks, the dual field theories are defined on spacelike and timelike boundaries, respectively, where the inward motion of the holographic boundary into the bulk corresponds to the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(T\bar{T}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mi>T</mi> <mrow> <mover> <mi>T</mi> <mo stretchy="false">¯</mo> </mover> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(T\bar{T}+\Lambda_{2}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mi>T</mi> <mrow> <mover> <mi>T</mi> <mo stretchy="false">¯</mo> </mover> </mrow> <mo>+</mo> <msub> <mi mathvariant="normal">Λ</mi> <mrow> <mn>2</mn> </mrow> </msub> </math></EquationSource> </InlineEquation> deformations in the respective dual field theories. In this work, we develop a unified framework for these two dS holographic models by introducing a composite flow that incorporates both <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(T\bar{T}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mi>T</mi> <mrow> <mover> <mi>T</mi> <mo stretchy="false">¯</mo> </mover> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(T\bar{T}+\Lambda_{2}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mi>T</mi> <mrow> <mover> <mi>T</mi> <mo stretchy="false">¯</mo> </mover> </mrow> <mo>+</mo> <msub> <mi mathvariant="normal">Λ</mi> <mrow> <mn>2</mn> </mrow> </msub> </math></EquationSource> </InlineEquation> deformations. We propose that this composite flow corresponds to the inward motion of a spacelike boundary from the asymptotic infinity of dS spacetime, traversing the cosmological horizon and approaching the worldline of a static observer. This proposal is supported by the computation of the quasi-local energy and the holographic entanglement entropy within the dS static spacetime and its extended geometry.</p>

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Toward a unified de Sitter holography: A composite \(T\bar{T}\) and \(T\bar{T}+\Lambda_{2}\) flow

  • 期刊论文

  • 发表日期：

    2026年3月27日

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  • Jing-Cheng Chang,
  • Yang He,
  • Yu-Xiao Liu,
  • Yuan Sun

摘要

In de Sitter (dS) holography, both the dS/CFT correspondence and the dS static patch holography have been extensively studied. In these two holographic frameworks, the dual field theories are defined on spacelike and timelike boundaries, respectively, where the inward motion of the holographic boundary into the bulk corresponds to the \(T\bar{T}\) T T ¯ and \(T\bar{T}+\Lambda_{2}\) T T ¯ + Λ 2 deformations in the respective dual field theories. In this work, we develop a unified framework for these two dS holographic models by introducing a composite flow that incorporates both \(T\bar{T}\) T T ¯ and \(T\bar{T}+\Lambda_{2}\) T T ¯ + Λ 2 deformations. We propose that this composite flow corresponds to the inward motion of a spacelike boundary from the asymptotic infinity of dS spacetime, traversing the cosmological horizon and approaching the worldline of a static observer. This proposal is supported by the computation of the quasi-local energy and the holographic entanglement entropy within the dS static spacetime and its extended geometry.