2011/05/23 by Tatsuma Nishioka, Yuji Tachikawa, Masahito Yamazaki · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep08(2011)003
published as JHEP 1108:003,2011 · 24 pages, 13 figures
arxiv created 2011/05/23 · arxiv updated 2011/08/16
We compute the partition function on S3 of 3d N=4 theories which arise as the low-energy limit of 4d N=4 super Yang-Mills theory on a segment or on a junction, and propose its 1d interpretation. We show that the partition function can be written as an overlap of wavefunctions determined by the boundary conditions. We also comment on the connection of our results with the 4d superconformal index and the 2d q-deformed Yang-Mills theory.