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<p>For a given conformal field theory (CFT), one can deform it via the addition of a marginal operator to the spectrum. In two dimensions, when the added operator has conformal weights <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi>h</mi> <mo>=</mo> <mover accent="true"> <mi>h</mi> <mo stretchy="true">¯</mo> </mover> <mo>=</mo> <mn>1</mn> </math></EquationSource> <EquationSource Format="TEX">\( h=\overline{h}=1 \)</EquationSource> </InlineEquation>, conformal symmetry is not broken and the resulting theory is a distinct CFT. Studying such marginal operators for celestial CFTs allows for a geometric understanding of the space of allowed boundary theories dual to quantum field theories (QFT) in bulk asymptotically flat spacetimes. In traditional holographic examples, a marginal deformation on the boundary corresponds to a vacuum transition in the bulk theory. We affirm this in celestial CFTs which requires a general definition of marginal operators as composite celestial operators via pairs that live at distinct corners of celestial memory and Goldstone diamonds.</p>

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Marginal operators from celestial diamonds

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月19日

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  • Michael Imseis,
  • Sruthi A. Narayanan,
  • A. W. Peet

摘要

For a given conformal field theory (CFT), one can deform it via the addition of a marginal operator to the spectrum. In two dimensions, when the added operator has conformal weights h = h ¯ = 1 \( h=\overline{h}=1 \) , conformal symmetry is not broken and the resulting theory is a distinct CFT. Studying such marginal operators for celestial CFTs allows for a geometric understanding of the space of allowed boundary theories dual to quantum field theories (QFT) in bulk asymptotically flat spacetimes. In traditional holographic examples, a marginal deformation on the boundary corresponds to a vacuum transition in the bulk theory. We affirm this in celestial CFTs which requires a general definition of marginal operators as composite celestial operators via pairs that live at distinct corners of celestial memory and Goldstone diamonds.