<p>Six-dimensional superconformal field theories (SCFTs) give rise to four-dimensional (4d) ones when compactified on Riemann surfaces. In the <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mfenced close=")" open="(" separators=","> <mn>2</mn> <mn>0</mn> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}=\left(2,0\right) \)</EquationSource> </InlineEquation> case, this yields the famous <i>class S</i> family. For <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mfenced close=")" open="(" separators=","> <mn>1</mn> <mn>0</mn> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}=\left(1,0\right) \)</EquationSource> </InlineEquation> theories that arise from linear unitary quivers, the holographic duals of the 4d theories are known in massive IIA supergravity, but only without punctures. Working in the probe approximation, we identify all possible BPS punctures in these models and characterize them by computing their defect Weyl anomalies. For class S, our results reproduce the known expressions in the appropriate limit. In the more general <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mfenced close=")" open="(" separators=","> <mn>1</mn> <mn>0</mn> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}=\left(1,0\right) \)</EquationSource> </InlineEquation> case, they predict new 4d SCFTs and their large-<i>N</i> anomaly coefficients.</p>

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New punctures for six-dimensional compactifications

  • Fabio Apruzzi,
  • Noppadol Mekareeya,
  • Brandon Robinson,
  • Alessandro Tomasiello

摘要

Six-dimensional superconformal field theories (SCFTs) give rise to four-dimensional (4d) ones when compactified on Riemann surfaces. In the N = 2 0 \( \mathcal{N}=\left(2,0\right) \) case, this yields the famous class S family. For N = 1 0 \( \mathcal{N}=\left(1,0\right) \) theories that arise from linear unitary quivers, the holographic duals of the 4d theories are known in massive IIA supergravity, but only without punctures. Working in the probe approximation, we identify all possible BPS punctures in these models and characterize them by computing their defect Weyl anomalies. For class S, our results reproduce the known expressions in the appropriate limit. In the more general N = 1 0 \( \mathcal{N}=\left(1,0\right) \) case, they predict new 4d SCFTs and their large-N anomaly coefficients.