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<p>We show that 1 + 1 dimensional vacua of the (0<i>,</i> 2) heterotic string have many properties in common with more recently studied physical systems. The free theory exhibits a symmetric product CFT structure. The single-string Hilbert space splits into sectors labeled by the string winding, <i>w</i>, that contain purely left-moving (for <i>w &gt;</i> 0) and right-moving (for <i>w &lt;</i> 0) excitations. These sectors exhibit infinite-dimensional left and right-moving symmetry algebras, respectively, with central extensions that depend on <i>w</i>. String interactions between left and right-movers appear to lead to a <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25880_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mi>T</mi> <mover accent="true"> <mi>T</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( T\overline{T} \)</EquationSource> </InlineEquation> deformation of the free theory.</p>

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\( \mathcal{N} \) = 2 heterotic strings revisited

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月1日

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  • Amit Giveon,
  • Akikazu Hashimoto,
  • David Kutasov

摘要

We show that 1 + 1 dimensional vacua of the (0, 2) heterotic string have many properties in common with more recently studied physical systems. The free theory exhibits a symmetric product CFT structure. The single-string Hilbert space splits into sectors labeled by the string winding, w, that contain purely left-moving (for w > 0) and right-moving (for w < 0) excitations. These sectors exhibit infinite-dimensional left and right-moving symmetry algebras, respectively, with central extensions that depend on w. String interactions between left and right-movers appear to lead to a T T ¯ \( T\overline{T} \) deformation of the free theory.