2012/10/31 by Yosuke Imamura · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Function (biology) #Instanton #Limit (mathematics) #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Partition (number theory) #Partition function (quantum field theory) #Physics #Quantum mechanics #hep-th
paper · pdf · doi:10.1093/ptep/ptt044
24 pages, 1 figure; v2: references added, errors corrected, explanations added; v3: explanations improved, errors corrected, an overall factor added to the final result
arxiv created 2013/04/25 · openalex publication_date 2013/07/01 · arxiv updated 2016/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the index of 6d |\mathcal N=(1,0)| theories on |\boldsymbolS5× \mathbb R| containing vector and hypermultiplets. We only consider the perturbative sector without instantons. By compactifying |\mathbb R| to |\boldsymbolS1| with a twisted boundary condition and taking the small radius limit, we derive the perturbative partition function on a squashed |\boldsymbolS5|. The 1-loop partition function is represented in a simple form with the triple sine function.