@article {Bawane:2017gjf,
	title = {N=2 gauge theories on unoriented/open four-manifolds and their AGT counterparts},
	journal = {JHEP},
	volume = {07},
	year = {2019},
	pages = {040},
	doi = {10.1007/JHEP07(2019)040},
	url = {http://inspirehep.net/record/1631219/},
	author = {Aditya Bawane and Benvenuti, Sergio and Giulio Bonelli and Muteeb, Nouman and Alessandro Tanzini}
}
@article {Bawane2015,
	title = {N=2 supersymmetric gauge theories on S^2xS^2 and Liouville Gravity},
	journal = {Journal of High Energy Physics},
	volume = {2015},
	number = {7},
	year = {2015},
	month = {Jul},
	pages = {54},
	abstract = {<p>We consider $\mathcal{N}=2$ supersymmetric gauge theories on four manifolds admitting an isometry. Generalized Killing spinor equations are derived from the consistency of supersymmetry algebrae and solved in the case of four manifolds admitting a $U(1)$ isometry. This is used to explicitly compute the supersymmetric path integral on $S^2 \times S^2$ via equivariant localization. The building blocks of the resulting partition function are shown to contain the three point functions and the conformal blocks of Liouville Gravity.</p>},
	issn = {1029-8479},
	doi = {10.1007/JHEP07(2015)054},
	url = {https://doi.org/10.1007/JHEP07(2015)054},
	author = {Aditya Bawane and Giulio Bonelli and Massimiliano Ronzani and Alessandro Tanzini}
}
@article {2013,
	title = {N=2 gauge theories on toric singularities, blow-up formulae and  W-algebrae},
	number = {arXiv:1208.0790;},
	year = {2013},
	note = {33 pages, 1 figure; v2: discussions on U(1) gauge theory and\r\n  Frenkel-Kac construction have been added in section 5.1, and typos corrected;\r\n  v3: published version; v4: typos corrected},
	institution = {SISSA},
	abstract = {We compute the Nekrasov partition function of gauge theories on the\r\n(resolved) toric singularities C^2/\\Gamma in terms of blow-up formulae. We\r\ndiscuss the expansion of the partition function in the \\epsilon_1,\\epsilon_2\r\n\\to 0 limit along with its modular properties and how to derive them from the\r\nM-theory perspective. On the two-dimensional conformal field theory side, our\r\nresults can be interpreted in terms of representations of the direct sum of\r\nHeisenberg plus W_N-algebrae with suitable central charges, which can be\r\ncomputed from the fan of the resolved toric variety.We provide a check of this\r\ncorrespondence by computing the central charge of the two-dimensional theory\r\nfrom the anomaly polynomial of M5-brane theory. Upon using the AGT\r\ncorrespondence our results provide a candidate for the conformal blocks and\r\nthree-point functions of a class of the two-dimensional CFTs which includes\r\nparafermionic theories.},
	url = {http://hdl.handle.net/1963/6577},
	author = {Giulio Bonelli and Kazunobu Maruyoshi and Alessandro Tanzini and Futoshi Yagi}
}
