论文标题
8D中的ADHM，彩色的实心隔板和唐纳森 - 托马斯在orbifolds上不变
ADHM in 8d, coloured solid partitions and Donaldson-Thomas invariants on orbifolds
论文作者
论文摘要
我们通过类似于ADHM的颤动构造的$ su（4）$ SU（4）$不变的BPS条件在非交换性$ {\ Mathbb C}^4 $中的模量空间，我们通过ADHM样颤动的构造进行了分类，并根据固体分区的自然磨碎的动作对不变溶液进行了分类。在Orbifold情况下，$ {\ Mathbb C}^4/G $，$ G $是$ SU（4）$的有限亚组，分类是根据有色实心分区给出的。其计数的统计重量通过相关的模棱两可的共同体学理论定义。我们在$ {\ mathbb c}^4 $和$ {\ Mathbb c}^2 \ times \ left（{\ Mathbb c}^2/{\ Mathbb z} _2 \ right）上明确计算其分区函数，这些函数可以提供相应的ORBIFOLD DONALDSON-THOMAS-THARAMAS THORIANT。
We study the moduli space of $SU(4)$ invariant BPS conditions in supersymmetric gauge theory on non-commutative ${\mathbb C}^4$ by means of an ADHM-like quiver construction and we classify the invariant solutions under the natural toric action in terms of solid partitions. In the orbifold case ${\mathbb C}^4/G$, $G$ being a finite subgroup of $SU(4)$, the classification is given in terms of coloured solid partitions. The statistical weight for their counting is defined through the associated equivariant cohomological gauge theory. We explicitly compute its partition function on ${\mathbb C}^4$ and ${\mathbb C}^2\times\left({\mathbb C}^2/{\mathbb Z}_2\right)$ which conjecturally provides the corresponding orbifold Donaldson-Thomas invariants.
