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Zero-dimensional analogue of the global gauge anomaly

Hiroto So·Hiroshi Suzuki
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Abstract

A zero-dimensional analogue of Witten's global gauge anomaly is considered. For example, a zero-dimensional reduction of the two-dimensional $\SO(2N)$ Yang-Mills theory with a single Majorana-Weyl fermion in the fundamental representation suffers from this anomaly. Another example is a zero-dimensional reduction of two- and three-dimensional $\SU(2N_c)$ Yang-Mills theories which couple to a single Majorana fermion in the adjoint representation. In this case, any expectation value is either indeterminate or infinite.

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Hiroto So, Hiroshi Suzuki. 2006-01-19. Zero-dimensional analogue of the global gauge anomaly. https://doi.org/10.1143/ptp.115.467

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