论文标题
三维超值 - 麦尔式理论关于晶格和双黑麸皮
Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
论文作者
论文摘要
在很大的$ n $和强耦合极限中，最大超对称的su（$ n $）杨 - $（2 + 1）中的米尔斯理论（2 + 1）$尺寸猜测是对$ n $ d $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $ 2 $的理论的最大超对象。计算。我们的超对称晶格结构自然将理论置于偏斜的欧几里得3道孔上。花一个循环具有抗周期性的费米边界条件，某些欧几里得黑洞描述了大腹部极限。我们计算骨动作---分区函数的变化---并将我们的数值结果与超级重力预测进行比较，因为圆环的大小被更改，使其形状固定。我们的晶格计算主要利用$ n = 8 $，将外推到连续限制，我们的结果与适当的大道路限制的预期重力行为一致。
In the large-$N$ and strong-coupling limit, maximally supersymmetric SU($N$) Yang--Mills theory in $(2 + 1)$ dimensions is conjectured to be dual to the decoupling limit of a stack of $N$ D$2$-branes, which may be described by IIA supergravity.We study this conjecture in the Euclidean setting using nonperturbative lattice gauge theory calculations.Our supersymmetric lattice construction naturally puts the theory on a skewed Euclidean 3-torus. Taking one cycle to have anti-periodic fermion boundary conditions, the large-torus limit is described by certain Euclidean black holes. We compute the bosonic action---the variation of the partition function---and compare our numerical results to the supergravity prediction as the size of the torus is changed, keeping its shape fixed. Our lattice calculations primarily utilize $N = 8$ with extrapolations to the continuum limit, and our results are consistent with the expected gravity behavior in the appropriate large-torus limit.
