Abstract
Three-dimensional gauge theory T [G] arises on a domain wall between four-dimensional \( \mathcal{N} = 4 \) SYM theories with the gauge groups G and its S-dual G L. We argue that the \( \mathcal{N} = {2^*} \) mass deformation of the bulk theory induces a mass-deformation of the theory T[G] on the wall. The partition functions of the theory T[SU(2)] and its mass-deformation on the three-sphere are shown to coincide with the transformation coefficient of Liouville one-point conformal block on torus under the S-duality.
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ArXiv ePrint: 1009.0340
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Hosomichi, K., Lee, S. & Park, J. AGT on the S-duality wall. J. High Energ. Phys. 2010, 79 (2010). https://doi.org/10.1007/JHEP12(2010)079
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DOI: https://doi.org/10.1007/JHEP12(2010)079