3d Partition Function as Overlap of Wavefunctions

Details 3d Partition Function as Overlap of Wavefunctions 3d Partition Function as Overlap of Wavefunctions

2011-05-23

arxiv.org/abs/1105.4390v1

JHEP 1108:003,2011

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 13 figures

Scientific paper

10.1007/JHEP08(2011)003

We compute the partition function on S^3 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.

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