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Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories

Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories

We establish a linear relation between the $a$-type Weyl anomaly and the 't Hooft anomaly coefficients for the $R$-symmetry and gravitational anomalies in six-dimensional $(1,0)$ superconformal field theories. For RG flows onto the tensor branch, where conformal symmetry is spontaneously broken, supersymmetry relates the anomaly mismatch $\Delta a$ to the …