<p>We revisit the chiral spectra on charged 1- and 5-branes in the 10d non-supersymmetric <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26452_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="fraktur">sp</mi> <mfenced close=")" open="("> <mn>16</mn> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \mathfrak{sp}(16) \)</EquationSource> </InlineEquation> string theory (also known as the Sugimoto model), and verify that they consistently cancel the anomaly inflow induced by a Green-Schwarz mechanism in the bulk. By analyzing the <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_26452_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="fraktur">sp</mi> <mfenced close=")" open="("> <mn>16</mn> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \mathfrak{sp}(16) \)</EquationSource> </InlineEquation> representations arising from quantizing the fermion zero modes on these branes as well as uncharged 4-branes, we find compelling evidence that the global structure of the gauge group is Sp(16)/<i>ℤ</i><sub>2</sub>. We further comment on a possible duality to non-supersymmetric heterotic strings, and explore bottom-up anomaly inflow constraints for 10d effective Sp(16)/<i>ℤ</i><sub>2</sub> gauge theories coupled to gravity.</p>

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Anomaly inflow and gauge group topology in the 10d Sugimoto string theory

  • Vittorio Larotonda,
  • Ling Lin

摘要

We revisit the chiral spectra on charged 1- and 5-branes in the 10d non-supersymmetric sp 16 \( \mathfrak{sp}(16) \) string theory (also known as the Sugimoto model), and verify that they consistently cancel the anomaly inflow induced by a Green-Schwarz mechanism in the bulk. By analyzing the sp 16 \( \mathfrak{sp}(16) \) representations arising from quantizing the fermion zero modes on these branes as well as uncharged 4-branes, we find compelling evidence that the global structure of the gauge group is Sp(16)/2. We further comment on a possible duality to non-supersymmetric heterotic strings, and explore bottom-up anomaly inflow constraints for 10d effective Sp(16)/2 gauge theories coupled to gravity.