1997/06/24 by Paul Fendley, Fendley, Paul · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9706161
20 pages, 6 figures, amslatex. Revision adds appendix describing analogous calculation for a free Dirac fermion. To appear in Advances in Theoretical and Mathematical Physics
arxiv created 1997/09/22 · arxiv updated 2009/11/30
We study multi-soliton states in two-dimensional N=2 supersymmetric theories. We calculate their energy exactly as a function of mass and volume in the simplest integrable N=2 theory, the sine-Gordon model at a particular coupling. These energies are related to the expectation value I= tr [exp(inπF) exp(-H/T)], where F is the fermion number. For n=1, this is Witten's index; for n an odd integer, we argue that I is an index in the sense that it is independent of all D-term variations.