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Coulomb Branch and The Moduli Space of Instantons (2014)
Journal Article
Cremonesi, S., Ferlito, G., Hanany, A., & Mekareeya, N. (2014). Coulomb Branch and The Moduli Space of Instantons. Journal of High Energy Physics, 2014(12), Article 103. https://doi.org/10.1007/jhep12%282014%29103

The moduli space of instantons on ℂ2 for any simple gauge group is studied using the Coulomb branch of N=4N=4 gauge theories in three dimensions. For a given simple group G, the Hilbert series of such an instanton moduli space is computed from the Co... Read More about Coulomb Branch and The Moduli Space of Instantons.

Mass-deformed brane tilings (2014)
Journal Article
Bianchi, M., Cremonesi, S., Hanany, A., Morales, J. F., Ricci Pacifici, D., & Seong, R. (2014). Mass-deformed brane tilings. Journal of High Energy Physics, 2014(10), Article 027. https://doi.org/10.1007/jhep10%282014%29027

We study renormalization group flows among N=1N=1 SCFTs realized on the worldvolume of D3-branes probing toric Calabi-Yau singularities, thus admitting a brane tiling description. The flows are triggered by masses for adjoint or vector-like pairs of... Read More about Mass-deformed brane tilings.

Coulomb branch Hilbert series and three dimensional Sicilian theories (2014)
Journal Article
Cremonesi, S., Hanany, A., Mekareeya, N., & Zaffaroni, A. (2014). Coulomb branch Hilbert series and three dimensional Sicilian theories. Journal of High Energy Physics, 2014(09), Article 185. https://doi.org/10.1007/jhep09%282014%29185

We evaluate the Coulomb branch Hilbert series of mirrors of three dimensional Sicilian theories, which arise from compactifying the 6d (2, 0) theory with symmetry G on a circle times a Riemann surface with punctures. We obtain our result by gluing to... Read More about Coulomb branch Hilbert series and three dimensional Sicilian theories.

Coulomb branch Hilbert series and Hall-Littlewood polynomials (2014)
Journal Article
Cremonesi, S., Hanany, A., Mekareeya, N., & Zaffaroni, A. (2014). Coulomb branch Hilbert series and Hall-Littlewood polynomials. Journal of High Energy Physics, 2014(09), Article 178. https://doi.org/10.1007/jhep09%282014%29178

There has been a recent progress in understanding the chiral ring of 3d NN = 4 superconformal gauge theories by explicitly constructing an exact generating function (Hilbert series) counting BPS operators on the Coulomb branch. In this paper we intro... Read More about Coulomb branch Hilbert series and Hall-Littlewood polynomials.

Partition Functions of N=(2,2) Gauge Theories on S2 and Vortices (2014)
Journal Article
Benini, F., & Cremonesi, S. (2014). Partition Functions of N=(2,2) Gauge Theories on S2 and Vortices. Communications in Mathematical Physics, 334(3), 1483-1527. https://doi.org/10.1007/s00220-014-2112-z

We apply localization techniques to compute the partition function of a two-dimensional N=(2,2)N=(2,2) R-symmetric theory of vector and chiral multiplets on S2. The path integral reduces to a sum over topological sectors of a matrix integral over the... Read More about Partition Functions of N=(2,2) Gauge Theories on S2 and Vortices.

Comments on N = (2, 2) supersymmetry on two-manifolds (2014)
Journal Article
Closset, C., & Cremonesi, S. (2014). Comments on N = (2, 2) supersymmetry on two-manifolds. Journal of High Energy Physics, 2014(07), Article 075. https://doi.org/10.1007/jhep07%282014%29075

We study curved-space rigid supersymmetry for two-dimensional NN = (2, 2) supersymmetric fields theories with a vector-like R-symmetry by coupling such theories to background supergravity. The associated Killing spinors can be viewed as holomorphic s... Read More about Comments on N = (2, 2) supersymmetry on two-manifolds.

Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories (2014)
Journal Article
Cremonesi, S., Hanany, A., & Zaffaroni, A. (2014). Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories. Journal of High Energy Physics, 2014(01), Article 005. https://doi.org/10.1007/jhep01%282014%29005

This paper addresses a long standing problem - to identify the chiral ring and moduli space (i.e. as an algebraic variety) on the Coulomb branch of an NN = 4 superconformal field theory in 2+1 dimensions. Previous techniques involved a computation of... Read More about Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories.