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It was recently discovered that for a boundary system in the presence of abackground magnetic field, the quantum fluctuation of the vacuum would create anon-uniform magnetization density for the vacuum and a magnetization current isinduced in the vacuum. It was also shown that this "magnetic Casimir effect" ofthe vacuum is closely related to another quantum effect of the vacuum, the Weylanomaly. Furthermore, the phenomena can be understood in terms of theholography of the boundary system. In this paper, we generalize this fourdimensional effect to six dimensions. We use the AdS/BCFT holography to showthat in the presence of a 3-form magnetic field strength $H$,a string currentis induced in a six dimensional boundary conformal field theory. This allows usto determine the gauge field contribution to the Weyl anomaly in sixdimensional conformal field theory in a $H$-flux background. For the (2,0)superconformal field theory of $N$ M5-branes, the current has a magnitudeproportional to $N^3$ for large $N$. This suggests that the degree of freedomsscales as $N^3$ in the (2,0) superconformal theory of $N$ multiple M5-branes.The prediction we have for the Weyl anomaly is a new criteria that the (2,0)theory should satisfy.

Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory