The boundary F-theorem for free fields
High Energy Physics - Theory
2014-07-24 v2
Abstract
The boundary free energy, as defined by Gaiotto, is further analysed for free scalars on a hemisphere and shown to be the same as the N-D determinant that earlier occurred in a treatment of GJMS operators. It is also shown to be identical, up to spin degeneracy, to the free energy for a spin-half field on the hemisphere boundary. This is also true if the hemisphere is replaced by a lune. The calculations are carried out in arbitrary dimensions.
Cite
@article{arxiv.1407.5909,
title = {The boundary F-theorem for free fields},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:1407.5909},
year = {2014}
}
Comments
8 pages. Boundary spin-half equivalence proved a different way in Appendix