Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2022)114
Keywords
Anomalies in Field and String Theories; Superstrings and Heterotic Strings
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Funding
- JST FOREST Program [JPMJFR2030]
- MEXT-JSPS [21H05188]
- JSPS KAKENHI [17K14265]
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We study the structure of anomalies in general heterotic string theories by considering general 2-dimensional N=(0,1) supersymmetric quantum field theories. The results show that perturbative anomalies correspond to the Witten index of SQFTs, while global anomalies correspond to a torsion version of the Witten index.
We study the structure of anomalies in general heterotic string theories by considering general 2-dimensional N = (0, 1) supersymmetric quantum field theories (SQFTs), without assuming conformal invariance nor the correct central charges. First we generalize the precise notion of the B-field introduced by Witten. Then we express the target space anomalies by invariants of SQFTs. Perturbative anomalies correspond to the Witten index of some class of SQFTs, while global anomalies correspond to a torsion version of the Witten index. The torsion index gives some of the invariants of SQFTs suggested by topological modular forms, and is expected to be zero for the cases that are relevant to actual heterotic string theories.
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