Affiliation:
1. Department of Physics, Tokyo Institute of Technology , Tokyo 152-8551, Japan
Abstract
We consider massless Majorana fermion systems with G=ZN, SO(N), and O(N) symmetry in one-dimensional spacetime. In these theories, phase ambiguities of the partition functions are given as the exponential of the η-invariant of the Dirac operators in two dimensions, which is a bordism invariant. We construct sufficient numbers of bordism invariants to detect all bordism classes. Then, we classify global anomalies by calculating the η-invariant of these bordism classes.
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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