论文标题
$ 1/n $扩展D3-D5缺陷CFT
$1/N$ expansion of the D3-D5 defect CFT
论文作者
论文摘要
我们考虑四维$ u（n）$ $ \ n = 4 $ sym理论与3D $ \ MATHCAL n = 4 $理论相互作用，该理论生活在Codimension-One界面上，并全息在没有Flux的D3-D5系统上偶性。本地化捕获了此DCFT中的几个可观察到的物品，包括其自由能，与缺陷期望值有关，以及单个跟踪$ \ frac {1} {2} {2} $ - BPS复合标量。这些数量可以在具有非多功能单轨道电势的冬宫单矩阵模型中计算出来。我们利用矩阵模型基础的可集成的伏特拉层次结构，并系统地研究其$ 1/n $扩展，以't Hooft耦合的任何值。特别是，通过差异关系确定了强耦合体制 - 直到非扰动指数抑制的校正 - 在$ 1/n $扩展中限制了高阶术语。通过诉诸更为一般的Toda晶格方程，分析通过$ su（n）$量表对称性扩展到模型。
We consider four dimensional $U(N)$ $\mathcal N=4$ SYM theory interacting with a 3d $\mathcal N=4$ theory living on a codimension-one interface and holographically dual to the D3-D5 system without flux. Localization captures several observables in this dCFT, including its free energy, related to the defect expectation value, and single trace $\frac{1}{2}$-BPS composite scalars. These quantities may be computed in a hermitian one-matrix model with non-polynomial single-trace potential. We exploit the integrable Volterra hierarchy underlying the matrix model and systematically study its $1/N$ expansion at any value of the 't Hooft coupling. In particular, the strong coupling regime is determined -- up to non-perturbative exponentially suppressed corrections -- by differential relations that constrain higher order terms in the $1/N$ expansion. The analysis is extended to the model with $SU(N)$ gauge symmetry by resorting to the more general Toda lattice equations.
