Scholarlink

<p>We revisit the issue of how the perturbative and global fermion anomaly of Type I string theory in ten dimensions is cancelled by the Green-Schwarz mechanism using the RR fields. This will be done by realising the RR fields as boundary modes of an eleven-dimensional bulk theory described in terms of a quadratic refinement of the differential KO-theory pairing. We will then generalise this analysis to Sugimoto’s <i>usp</i>(32) string and Sagnotti’s <i>u</i>(32) string. We also discuss in a more general setting the procedures which need to be followed when we try to cancel fermion anomalies in terms of <i>p</i>-form fields based on differential K-theory classes. This we illustrate by performing an analysis of the mod-2 anomaly cancellation in nine dimensions arising from the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(S^1\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>S</mi> <mn>1</mn> </msup> </math></EquationSource> </InlineEquation> compactification of the Type I theory.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Type I Anomaly Cancellation Revisited

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年8月1日

查看全文
  • Saghar S. Hosseini,
  • Yuji Tachikawa,
  • Hao Y. Zhang

摘要

We revisit the issue of how the perturbative and global fermion anomaly of Type I string theory in ten dimensions is cancelled by the Green-Schwarz mechanism using the RR fields. This will be done by realising the RR fields as boundary modes of an eleven-dimensional bulk theory described in terms of a quadratic refinement of the differential KO-theory pairing. We will then generalise this analysis to Sugimoto’s usp(32) string and Sagnotti’s u(32) string. We also discuss in a more general setting the procedures which need to be followed when we try to cancel fermion anomalies in terms of p-form fields based on differential K-theory classes. This we illustrate by performing an analysis of the mod-2 anomaly cancellation in nine dimensions arising from the \(S^1\) S 1 compactification of the Type I theory.