2025/02/19 by Lorenzo Ruggeri, Ruggeri, Lorenzo · 2 citations
Mathematics · #Spectral Theory in Mathematical Physics #Holomorphic and Operator Theory #Advanced Algebra and Geometry
paper · pdf · doi:10.48550/arxiv.2502.13614
Starting from a theory on S3× S3 and dimensionally reducing, we compute the full partition function, including flux and instanton contributions, for an N=1 theory of vector multiplets and hypermultiplets on five-dimensional toric Sasakian manifolds Yp,q. Dimensionally reducing, we obtain the partition function for Pestun-like theories on a class of manifolds whose topology is S2× S2. Generalizing the procedure starting from branched covers of S3× S3, we reduce to a theory on Yp,q with codimension two twist defects. Exploiting a proposed equivalence with partition functions on spaces with orbifold singularities, our results provide the partition function of an N=2 theory on the product of two spindles.