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September 5, 2025Open Access

Exact results for SYM on Yp,q and S2 × S2 with conical singularities

Puntos clave

The full partition function was computed for an N=1 theory on Yp,q, including flux and instanton contributions.
Results indicate a connection between the partition function on S2 × S2 and orbifold singularities, enhancing our understanding of codimension two twist defects.
Generalization from branched covers of S3 × S3 led to new insights on vector multiplet and hypermultiplet interactions.
The findings may have implications for N=2 theories on spindle products, revealing deeper geometrical properties.

Resumen

A bstract Starting from a theory on S 3 × S 3 and dimensionally reducing, we compute the full partition function, including flux and instanton contributions, for an N N = 1 theory of vector multiplets and hypermultiplets on five-dimensional toric Sasakian manifolds Y p, q. Dimensionally reducing, we obtain the partition function for Pestun-like theories on a class of manifolds whose topology is S 2 × S 2. Generalizing the procedure starting from branched covers of S 3 × S 3, we reduce to a theory on Y p, 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 N = 2 theory on the product of two spindles.

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