Journal of High Energy Physics

, 2010:79 | Cite as

AGT on the S-duality wall



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.


Supersymmetric gauge theory Supersymmetry and Duality Conformal and W Symmetry 


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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  1. 1.Yukawa Institute for Theoretical PhysicsKyoto University Kitashirakawa-OiwakechoSakyo, KyotoJapan
  2. 2.Korea Institute for Advanced Study Hoegiro 87(207-43 Cheongnyangni-dong)Dongdaemun-gu, SeoulKorea
  3. 3.DAMTP, Centre for Mathematical SciencesUniversity of CambridgeCambridgeU.K.
  4. 4.Department of Physics & Postech Center for Theoretical Physics, POSTECHPohangKorea

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