<p>In [1], it was pointed out that superstring theory on <i>AdS</i><sub>3</sub> with (<i>NS</i>, <i>NS</i>) <i>B</i>-field background and <i>R</i><sub>AdS</sub>/<i>l</i><sub><i>s</i></sub> = <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25686_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msqrt> <mi>k</mi> </msqrt> </math></EquationSource> <EquationSource Format="TEX">\( \sqrt{k} \)</EquationSource> </InlineEquation> &lt; 1 is dual to a symmetric product CFT deformed by an operator in the <i>ℤ</i><sub>2</sub> twisted sector. We generalize the analysis of [1] to <i>k</i> &gt; 1, and show that the resulting picture matches that discussed in the bosonic case in [2]. We argue that in the critical case, <i>k</i> = 1 [3], the <i>ℤ</i><sub>2</sub> twisted deformation remains non-trivial. This resolves some confusions in the literature.</p>

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Effective AdS3/CFT2

  • Soumangsu Chakraborty,
  • Amit Giveon,
  • David Kutasov

摘要

In [1], it was pointed out that superstring theory on AdS3 with (NS, NS) B-field background and RAdS/ls = k \( \sqrt{k} \) < 1 is dual to a symmetric product CFT deformed by an operator in the 2 twisted sector. We generalize the analysis of [1] to k > 1, and show that the resulting picture matches that discussed in the bosonic case in [2]. We argue that in the critical case, k = 1 [3], the 2 twisted deformation remains non-trivial. This resolves some confusions in the literature.