On Witten's global anomaly for higher SU(2) representations
Abstract
Description
The spectral flow of the overlap operator is computed numerically along a path connecting two gauge fields which differ by a topologically non-trivial gauge transformation. The calculation is performed for SU(2) in the 3/2 and 5/2 representation. An even-odd pattern for the spectral flow as predicted by Witten is verified. The results are, however, more complicated than naively expected.
Lattice 2002 (chiral fermions), 3 pages, 4 figures
Lattice 2002 (chiral fermions), 3 pages, 4 figures