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Perturbative partition function for a squashed S5
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DOI：10.1093/ptep/ptt044.png)
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Abstract
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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.
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