{'fraction_non_alphanumeric': 0.030927835051546393, 'fraction_numerical': 0.0, 'mean_word_length': 5.202127659574468, '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}}
Gauge and gravitational anomalies in two dimensions.

Gauge and gravitational anomalies are studied in two dimensions. In the gauge-anomaly case, we obtain the solution of the anomaly equation (the Wess-Zumino term) with only gauge fields, without auxiliary fields. Then we show, up to the second nontrivial order, that this solution agrees with the explicit Feynman-diagram calculation. In the gravitational-anomaly case we show, up to the second nontrivial order, that the anomaly obtained by the differential geometric method agrees with the explicit Feynman-diagram calculation.