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
Reference56 articles.
1. Anomalies and fermion zero modes on strings and domain walls;Nucl. Phys. B,1985
2. Algebraic and Hamiltonian methods in the theory of non-Abelian anomalies;Theor. Math. Phys.,1984
3. Topological investigations of quantized gauge theories;DeWitt,1985
4. Chiral anomalies in differential geometry;DeWitt,1985
5. Algebraic structure and topological origin of anomalies;Lehman,1984