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S^3/Z_n partition function and dualities

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arxiv 1208.1404 v2 pith:GATMCUR3 submitted 2012-08-07 hep-th

classification hep-th
keywords functionpartitiongaugeholonomyphasetheoriesabsorbedappearing
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We investigate S^3/Z_n partition function of N = 2 supersymmetric gauge theories. A gauge theory on the orbifold has degenerate vacua specified by the holonomy. The partition function is obtained by summing up the contributions of saddle points with different holonomies. An appropriate choice of the phase of each contribution is essential to obtain the partition function. We determine the relative phases in the holonomy sum in a few examples by using duality to non-gauge theories. In the case of odd n the phase factors can be absorbed by modifying a single function appearing in the partition function.

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Cited by 2 Pith papers

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    hep-th 2025-08 conditional novelty 5.0 of 10

    A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.

  2. Ordinary limits of the hyperbolic hypergeometric integral identities

    hep-th 2024-12 reject novelty 3.0 of 10

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