Perturbative partition function for a squashed S^5
High Energy Physics - Theory
2016-06-21 v3
Abstract
We compute the index of 6d N=(1,0) theories on S^5 x R containing vector and hypermultiplets. We only consider the perturbative sector without instantons. By compactifying R to S^1 with a twisted boundary condition and taking the small radius limit, we derive the perturbative partition function on a squashed S^5. The 1-loop partition function is represented in a simple form with the triple sine function.
Cite
@article{arxiv.1210.6308,
title = {Perturbative partition function for a squashed S^5},
author = {Yosuke Imamura},
journal= {arXiv preprint arXiv:1210.6308},
year = {2016}
}
Comments
24 pages, 1 figure; v2: references added, errors corrected, explanations added; v3: explanations improved, errors corrected, an overall factor added to the final result