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<p>We explicitly compute correlation functions with the insertion of a continuous symmetry defect in bosonic field theories. To recover its expected action on the charged operators, the definition of the defect must be modified to include a specific contact term. This can be regarded as a singular background gauge field for the global symmetry. It can be traced to the definition of the generating functional for current correlators, where the source is akin to a background gauge field for the symmetry. For holographic theories, it has been proposed that continuous symmetry defects are realized in terms of non-BPS <i>D</i>(<i>q</i> – 1) branes. We argue that these can be regarded as <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26512_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="57" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="italic">Dq</mi> <mo>/</mo> <mover accent="true"> <mi mathvariant="italic">Dq</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( Dq/\overline{Dq} \)</EquationSource> </InlineEquation> system and show its application to the case of the baryonic symmetry in the Klebanov-Witten theory. The <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26512_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="57" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="italic">Dq</mi> <mo>/</mo> <mover accent="true"> <mi mathvariant="italic">Dq</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( Dq/\overline{Dq} \)</EquationSource> </InlineEquation> can be regarded as a particular regularization of the defect, holographically realizing the field theory discussion.</p>

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Continuous symmetry defects and brane/anti-brane systems

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月19日

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  • Hugo Calvo,
  • Francesco Mignosa,
  • Diego Rodriguez-Gomez

摘要

We explicitly compute correlation functions with the insertion of a continuous symmetry defect in bosonic field theories. To recover its expected action on the charged operators, the definition of the defect must be modified to include a specific contact term. This can be regarded as a singular background gauge field for the global symmetry. It can be traced to the definition of the generating functional for current correlators, where the source is akin to a background gauge field for the symmetry. For holographic theories, it has been proposed that continuous symmetry defects are realized in terms of non-BPS D(q – 1) branes. We argue that these can be regarded as Dq / Dq ¯ \( Dq/\overline{Dq} \) system and show its application to the case of the baryonic symmetry in the Klebanov-Witten theory. The Dq / Dq ¯ \( Dq/\overline{Dq} \) can be regarded as a particular regularization of the defect, holographically realizing the field theory discussion.