Families Index Theorem in Supersymmetric Wzw Model and Twisted K-theory*

  • Jouko Mickelsson
  • Published 2005
The construction of twisted K-theory classes on a compact Lie group is reviewed using the supersymmetric Wess-Zumino-Witten model on a cylinder. The Quillen superconnection is introduced for a family of supercharges and the Chern character for the family is given and its relation to twisted cohomology is discussed. Gauge symmetry breaking in quantum field… CONTINUE READING