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<p>We consider the geometric action formulation for 3d pure gravity with vanishing cosmological constant. We use fermionic localization to compute the exact torus partition function for a constant representative coadjoint orbit of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26011_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msub> <mover accent="true"> <mi>BMS</mi> <mo stretchy="true">̂</mo> </mover> <mn>3</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {\hat{\textrm{BMS}}}_3 \)</EquationSource> </InlineEquation>. This allows us to discuss its 1-loop exactness.</p>

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BMS3 fermionic localization

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月17日

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  • Joan Simón,
  • Boyang Yu

摘要

We consider the geometric action formulation for 3d pure gravity with vanishing cosmological constant. We use fermionic localization to compute the exact torus partition function for a constant representative coadjoint orbit of BMS ̂ 3 \( {\hat{\textrm{BMS}}}_3 \) . This allows us to discuss its 1-loop exactness.