AI 中文总结
该研究计算了 AdS₅×S⁵/ℤ_L 轨形背景下三类半经典弦解的量子修正，其与扭曲 Bethe ansatz 等结果匹配，还探讨了长 quiver regime 对半经典展开的重构。
AI 中文摘要
我们研究了 AdS₅×S⁵/ℤ_L 轨形背景下的三类半经典弦解，它们分别对应对偶四维 N=2 quiver 规范理论 SU(2)、SU(3) 和 SL(2) 区中的“扭曲”单迹算符。计算了每类解经典能量的领头阶量子修正，尽管不存在最大超对称性，该修正与连续极限 J→∞ 下扭曲 Bethe ansatz 的有限尺寸修正及相关 Landau-Lifshitz 低能有效理论的对应结果相匹配。ℤ_L 商使弦能沿轨形方向拥有分数缠绕 μ，形成了 AdS₅×S⁵ 上类似半经典弦解中不存在的半经典态的新型稳定子区。当 μ→0 时，这些稳定态的能量与相关 BPS 区态的能量平滑衔接。受对偶规范理论近期局域化结果启发，我们从半经典视角探讨了 L≫√λ≫1 的“长 quiver” regime，结论是该 regime 重构了标准固定背景半经典展开。
英文摘要
We consider three families of semiclassical string solutions on AdS$_5\times S^5/\mathbb{Z}_L$ orbifold backgrounds which correspond to `twisted' single-trace operators in the SU$(2)$, SU$(3)$ and SL$(2)$ sectors, respectively, of the dual 4d $\mathcal{N}=2$ quiver gauge theory. The leading quantum correction to the classical energy of each solution is computed, and is matched, despite the lack of maximal supersymmetry, to the corresponding results from finite-size corrections to the twisted Bethe ansatz in the continuum $J\to\infty$ limit and the associated Landau-Lifshitz low-energy effective theory. The $\mathbb{Z}_L$ quotient allows the string to have fractional winding branches $μ=\widetilde{m}+\frac{n}{L}$ along orbifolded directions. As such, stability is a property of the full winding branch $μ$, rather than of the individual twisted sectors $n$. Restricting to the purely fractional branch ($\widetilde m=0$), we obtain new stable configurations which were absent in the analogous semiclassical string solutions on AdS$_5\times S^5$. The energies of these stable states connect smoothly to those of states in relevant BPS sectors as $μ\to0$.
Comments50 pages, 5 figures, 2 tables; v2: Amended footnote with references added; v3: To be published in JHEP. Clarified a few comments and added table summarising results to section 1.2
Journal refJHEP09(2026)237
