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<p>We find a dual description of the supersymmetric SL(2, <i>ℂ</i>)/SU(2) WZW model as a super-winding condensate CFT, which follows simply from the bosonic AdS<sub>3</sub> duality found in [arXiv:2104.07233]. This duality can be seen as a dimensional uplift of the mirror symmetry between the <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>H</mi> <mn>3</mn> <mo>+</mo> </msubsup> <mo>/</mo> <mi mathvariant="normal">U</mi> <mfenced close=")" open="("> <mn>1</mn> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( {H}_3^{+}/\textrm{U}(1) \)</EquationSource> </InlineEquation> supercoset and <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>2</mn> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}=2 \)</EquationSource> </InlineEquation> super-Liouville theory.</p>

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A supersymmetric AdS3 duality

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  • 发表日期：

    2026年2月17日

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  • Bhanu Narra

摘要

We find a dual description of the supersymmetric SL(2, ℂ)/SU(2) WZW model as a super-winding condensate CFT, which follows simply from the bosonic AdS3 duality found in [arXiv:2104.07233]. This duality can be seen as a dimensional uplift of the mirror symmetry between the H 3 + / U 1 \( {H}_3^{+}/\textrm{U}(1) \) supercoset and N = 2 \( \mathcal{N}=2 \) super-Liouville theory.