N=2 supersymmetric theories on squashed three-sphere

By Y. Imamura, D. Yokoyama. 2011

254 citations recorded by the source corpus.

We investigate a squashing deformation of 3d N = 2 supersymmetric theories on three-sphere, which have four supercharges. The deformation preserves SU(2)L×U(1)r isometry and all four supersymmetries. We compute the partition function and find non-trivial dependence on the squashing parameter. We also consider the large N limit of a certain class of quiver gauge theories which have free energy of order N 3/2 , and show that the free energy on the squashed sphere differs from that on round sphere by a certain factor depending only on the squashing parameter.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0a9e6d5c9ebc6b1ab0f0aa0adbc8c7b0d3576d10

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In Nuclear and High Energy Physics

Citations in the corpus

Localization techniques in quantum field theories (2016, methodology): “For a short reference on the Mathai-Quillen formalism see [19].”
Supersymmetric field theories on three-manifolds (2012, methodology): “) In the large-N limit, the dependence on the squashing parameter simplifies dramatically [10],”
Exact correlators of BPS Operators from the 3d superconformal bootstrap (2014, methodology): “The superconformal index of U(N)k × U(Ñ)−k ABJ(M) theory can be computed using supersymmetric localization following, for instance, [72–75].”
M-Strings (2013, background): “akin to the fact that the 3d partition functions for the three-dimensional squashed sphere [53] and ellipsoid [54] turn out to be identical.”
The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere (2012, background): “For the matrix models arising from localization of 3D gauge theories [8, 10, 11, 12, 13] the famous N dependence of the free energy has been successfully demonstrated in different models, see for example [22, 23, 24, 25, 26, 27, 13].”
The geometry of supersymmetric partition functions (2013, background): “The squashed spheres discussed in [44, 45] preserve all four supercharges (see also [16]).”
The gravity dual of supersymmetric gauge theories on a squashed three-sphere (2011, methodology): “For example, the gravity dual to the construction in [44] might be found within these classes.”
Exploring curved superspace (2012, background): “) Recently, it was shown that rigid supersymmetry also exists on certain squashed spheres [13–19].”
Bootstrapping SCFTs with four supercharges (2015, unknown): “A formula for the squashed-sphere partition function of d = 3, N = 2 theories was found using localization in [55].”
Seiberg-Witten theories on ellipsoids (2012, background): “For other recent work on supersymmetric deformations of the round S3 with additional background fields, see [23, 24, 25, 26, 27, 28].”
5-dim superconformal index with enhanced En global symmetry (2012, background): “In this case the base manifold is deformed only by j2 and thus it becomes 4d manifold preserving SU(2)1 × U(1)2 whose local geometry at the equator is the squashed S(3) investigated in [49, 50].”