Stress Energy Tensor in LCFT and the Logarithmic Sugawara Construction.

摘要

The authors discuss the partners of the stress energy tensor and their structure in Logarithmic conformal field theories. In particular the authors draw attention to the fundamental differences between theories with zero and non-zero central charge. However, they are both characterized by at least two independent parameters. The authors show how, by using a generalized Sugawara construction, one can calculate the logarithmic partner of T. The authors show that such a construction works in the c=-2 theory using the conformal dimension one primary currents which generate a logarithmic extension of the Kac-Moody algebra.