论文标题
$ \ frac {sl（2，\ mathbb {r}）\ times u（1）} {u（1）} $ cft，ns5 $+$+$ f1系统和单个跟踪$ t \ bar {t} $
$\frac{SL(2,\mathbb{R})\times U(1)}{U(1)}$ CFT, NS5$+$F1 system and single trace $T\bar{T}$
论文作者
论文摘要
在本文中，我们证明了（i）coset sigma模型$ \ frac {sl（2，\ mathbb {r}）_ k \ times u（times u（1）} {u（1）} {u（u（1）} {u（1）} \ times s^3 \ times s^3 \ sl $ kn $ kn $ kn $ kn 2$, (ii) the full near horizon theory of the NS5 branes with $k$ NS5 branes wrapping $T^4\times S^1$, $p\gg1$ F1 strings wrapping $S^1$ and $n$ units of momentum along the $S^1$ and (iii) the single trace $T\bar{T}$ deformation of string theory in $AdS_3\times s^3 \ times t^4 $。作为检查，我们通过对世界表理论的caset描述进行brst量化来计算时空理论的频谱，并表明它与$ ads_3 $中的单个跟踪$ t \ bar {t} $变形字符串理论完全匹配。其次，我们使用Worldsheet Coset方法计算时空理论的本地操作员的两点相关函数，并从超级重力方法中复制相同的两点函数。
In this paper we prove the equivalence among (i) the weakly coupled worldsheet string theory described by the coset sigma model $\frac{SL(2,\mathbb{R})_k\times U(1)}{U(1)}\times S^3 \times T^4$ with $SL(2,\mathbb{R})$ WZW level $k\geq 2$, (ii) the full near horizon theory of the NS5 branes with $k$ NS5 branes wrapping $T^4\times S^1$, $p\gg1$ F1 strings wrapping $S^1$ and $n$ units of momentum along the $S^1$ and (iii) the single trace $T\bar{T}$ deformation of string theory in $AdS_3\times S^3\times T^4$. As a check we compute the spectrum of the spacetime theory by performing BRST quantization of the coset description of the worldsheet theory and show that it matches exactly with the one derived in the case of single trace $T\bar{T}$ deformed string theory in $AdS_3$. Secondly, we compute the two-point correlation function of local operators of the spacetime theory using the worldsheet coset approach and reproduce the same two-point function from the supergravity approach.
