2024/03/26 by Yi, Piljin, Zhang, Yi
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2403.17393
We revisit anomalies of (4,0) and (3,1) maximally supersymmetric tensor theories in d=6. A (4,0) on-shell tensor multiplet descends to that of the d=5 maximal supergravity upon a dimensional reduction, hypothesized to offer a strong-coupled UV completion of the latter in the same sense of (2,0) theories as the UV completion of d=5 N=2 pure Yang-Mills. The gravitational anomalies, found to be nonvanishing, had been computed, although its relevance in the absence of the d=6 metric is not obvious. We perform a comprehensive anomaly computation for (4,0) and (3,1) tensor supermultiplets, respectively, for Sp(4) and Sp(3)× Sp(1) R-symmetry anomalies and the mixed R-gravitational anomaly thereof, and find that anomalies involving R-symmetries cancel out identically. We close with questions on how to address the anomaly in this class of theories with no general covariance.