Scholarlink

<p>We formulate a ten-dimensional version of Kodaira-Spencer gravity on a Calabi-Yau five-fold that reproduces the classical Maurer-Cartan equation governing supersymmetric heterotic moduli. Quantising this theory’s quadratic fluctuations, we show that its one-loop partition function simplifies to products of holomorphic Ray-Singer torsions and exhibits an anomaly that factorises as in SO(32) and <i>E</i><sub>8</sub> × <i>E</i><sub>8</sub> supergravity. Based on this, we conjecture that this theory is the SU(5)-twisted version of ten-dimensional <i>N</i> = 1 supergravity coupled to Yang-Mills and show that it is related to the type I Kodaira-Spencer theory of Costello-Li via a non-local field redefinition. The counter-terms needed to cancel the anomaly and retain gauge invariance for the one-loop effective theory reconstruct the differential of a recently discovered double-extension complex. This complex has non-tensorial extension classes and its first cohomology counts the infinitesimal moduli of heterotic compactifications modulo <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">O</mi> <mfenced close=")" open="("> <msup> <mi>α</mi> <mrow> <mo>′</mo> <mn>2</mn> </mrow> </msup> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{O}\left({\alpha}^{\prime 2}\right) \)</EquationSource> </InlineEquation> corrections.</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

Holomorphic supergravity in ten dimensions and anomaly cancellation

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年3月16日

查看全文
  • Anthony Ashmore,
  • Javier José Murgas Ibarra,
  • Charles Strickland-Constable,
  • Eirik Eik Svanes

摘要

We formulate a ten-dimensional version of Kodaira-Spencer gravity on a Calabi-Yau five-fold that reproduces the classical Maurer-Cartan equation governing supersymmetric heterotic moduli. Quantising this theory’s quadratic fluctuations, we show that its one-loop partition function simplifies to products of holomorphic Ray-Singer torsions and exhibits an anomaly that factorises as in SO(32) and E8 × E8 supergravity. Based on this, we conjecture that this theory is the SU(5)-twisted version of ten-dimensional N = 1 supergravity coupled to Yang-Mills and show that it is related to the type I Kodaira-Spencer theory of Costello-Li via a non-local field redefinition. The counter-terms needed to cancel the anomaly and retain gauge invariance for the one-loop effective theory reconstruct the differential of a recently discovered double-extension complex. This complex has non-tensorial extension classes and its first cohomology counts the infinitesimal moduli of heterotic compactifications modulo O α ′ 2 \( \mathcal{O}\left({\alpha}^{\prime 2}\right) \) corrections.