{'fraction_non_alphanumeric': 0.03756906077348066, 'fraction_numerical': 0.011049723756906077, 'mean_word_length': 4.770700636942675, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Generalized Green-Schwarz anomaly cancellation mechanism.

We show that the chiral anomaly can be canceled by a single antisymmetric tensor if the anomaly form factorizes into the product of two invariant polynomials of curvature two-forms, R and F. This generalizes the Green-Schwarz cancellation mechanism, where the factorization is of the form (TrR/sup 2/-TrF/sup 2/) times an invariant polynomial. The Yang-Mills group constraints differ from those obtained by the Green-Schwarz mechanism if the anomaly form is factorized differently and thus new anomaly-free theories emerge. This generalized mechanism works for any theories in D = 4k dimensions and nonsupergravity theories in D = 4k-2. However, for supergravity-type theories in D = 4k-2 only the original Green-Schwarz factorization works. We explicitly construct many anomaly-free theories in D = 8 and D = 10, using the generalized mechanism.