Scholarlink

<p>We analyse the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\alpha ^{\prime }\,}^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <msup> <mi>α</mi> <mo>′</mo> </msup> <mspace width="0.166667em" /> </mrow> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation> corrections to the supersymmetry algebra constructed by Bergshoeff–de Roo for heterotic compactifications on <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\textrm{SU}(3)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>SU</mtext> <mo stretchy="false">(</mo> <mn>3</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> manifolds. The geometry is complex and conformally balanced. Starting from these supersymmetry constraints, we derive the equations of motions and find that the graviton equation contains an extraneous term which can be set to zero after gauge fixing. The curvature of the tangent bundle connection acquires a nonzero (0,&#xa0;2) component and so does not satisfy the instanton equation, showing that the tangent bundle instanton condition does not persist beyond first order in <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\alpha ^{\prime }\,}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>α</mi> <mo>′</mo> </msup> <mspace width="0.166667em" /> </mrow> </math></EquationSource> </InlineEquation>.</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

Stringy Corrections to Heterotic SU(3)-Geometry

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年4月4日

查看全文
  • Jock McOrist,
  • Sebastien Picard

摘要

We analyse the \({\alpha ^{\prime }\,}^2\) α ′ 2 corrections to the supersymmetry algebra constructed by Bergshoeff–de Roo for heterotic compactifications on \(\textrm{SU}(3)\) SU ( 3 ) manifolds. The geometry is complex and conformally balanced. Starting from these supersymmetry constraints, we derive the equations of motions and find that the graviton equation contains an extraneous term which can be set to zero after gauge fixing. The curvature of the tangent bundle connection acquires a nonzero (0, 2) component and so does not satisfy the instanton equation, showing that the tangent bundle instanton condition does not persist beyond first order in \({\alpha ^{\prime }\,}\) α ′ .