论文标题
关于量子阻塞空间和更高的编码量规理论
On Quantum Obstruction Spaces and Higher Codimension Gauge Theories
论文作者
论文摘要
使用BV-BFV方法的量子构造用于扰动仪表理论,我们表明,量化Codimension 1理论的障碍是由第二个共同体学组对边界BR的电荷给出的。此外,我们通过$ \ mathbb {e} _k $ -algebras和较高转移的泊松结构的代数构建代数构建$ k $量化的量化。
Using the quantum construction of the BV-BFV method for perturbative gauge theories, we show that the obstruction for quantizing a codimension 1 theory is given by the second cohomology group with respect to the boundary BRST charge. Moreover, we give an idea for the algebraic construction of codimension $k$ quantizations in terms of $\mathbb{E}_k$-algebras and higher shifted Poisson structures by formulating a higher version of the quantum master equation.