$\mbox{AdS}_3$背景中可积性的保护态
Protected states in $\mbox{AdS}_3$ backgrounds from integrability
摘要：
我们在$\mbox{AdS}_3\times\mbox{S}^3\times\mbox{T}^4$和$\mbox{AdS}_3\times\mbox{S}^3\times\mbox{K3}$的轨道极限上写出弦论的代数贝特定理。我们用它来确定在这些背景中的保护闭弦的波函数，并证明它们的能量在$α'$中被保护到所有阶。我们进一步应用ABA方法求出了$\mbox{AdS}_3\times\mbox{S}^3\times\mbox{S}^3\times \mbox{S}^1$及其$\mathbf{Z}_2$轨道的保护态波函数。我们的研究结果与超重力，$\mbox{Sym}^N$ orbifolds和适用于完整的模空间这些理论，不包括orbifold爆破模式，进一步的分析是必要的保护谱计算相匹配。
英文摘要：
We write down the Algebraic Bethe Ansatz for string theory on $\mbox{AdS}_3\times\mbox{S}^3\times\mbox{T}^4$ and $\mbox{AdS}_3\times\mbox{S}^3\times\mbox{K3}$ in its orbifold limits. We use it to determine the wave-functions of protected closed strings in these backgrounds and prove that their energies are protected to all orders in $α'$. We further apply the ABA to find the wave functions of protected states of $\mbox{AdS}_3\times\mbox{S}^3\times\mbox{S}^3\times \mbox{S}^1$ and its $\mathbf{Z}_2$ orbifold. Our findings match with protected spectrum calculations from supergravity, $\mbox{Sym}^N$ orbifolds and apply to the complete moduli space of these theories, excluding orbifold blow-up modes for which further analysis is necessary.
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