Abstract
We construct Gaiotto states with fundamental multiplets in SU(N ) gauge theories, in terms of the orthonormal basis of spherical degenerate double affine Hecke algebra (SH in short), the representations of which are equivalent to those of W n algebra with additional U(1) current. The generalized Whittaker conditions are demonstrated under the action of SH, and further rewritten in terms of W n algebra. Our approach not only consists with the existing literature but also holds for general SU(N ) case.
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Matsuo, Y., Rim, C. & Zhang, H. Construction of Gaiotto states with fundamental multiplets through degenerate DAHA. J. High Energ. Phys. 2014, 28 (2014). https://doi.org/10.1007/JHEP09(2014)028
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DOI: https://doi.org/10.1007/JHEP09(2014)028