Perturbative partition function for a squashed S5
Abstract
We compute the index of 6d N=(1,0) theories on S5 x R containing vector and hypermultiplets. We only consider the perturbative sector without instantons. By compactifying R to S1 with a twisted boundary condition and taking the small radius limit, we derive the perturbative partition function on a squashed S5. The 1-loop partition function is represented in a simple form with the triple sine function.
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