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Factorisation of N = 2 theories on the squashed 3-sphere · Around

2011

Factorisation of N = 2 theories on the squashed 3-sphere

Pasquetti, Sara

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Partition functions of N=2 theories on the squashed 3-sphere have been recently shown to localise to matrix integrals.

By explicitly evaluating the matrix integral we show that abelian partition functions can be expressed as a sum of products of two blocks.
We identify the first block with the partition function of the vortex theory, with equivariant parameter hbar=2 Pi i b^2, defined on R^2 x S_1 corresponding to the b->0 degeneration of the ellipsoid.
The second block gives the partition function of the vortex theory with equivariant parameter hbar^L=2 Pi i/b^2, on the dual R^2 x S_1 corresponding to the 1/b ->0 degeneration.

Built on

M. Aganagic, A. Klemm and C. Vafa, “Disk instantons, mirror symmetry and the duality web,” Z. Naturforsch. A
2002
Earlier work this paper cites.
H. Ooguri, A. Strominger and C. Vafa, “Black hole attractors and the topological string,” Phys. Rev. D 70
2004
Earlier work this paper cites.
Y. Tachikawa, “Five-dimensional Chern-Simons terms and Nekrasov’s instanton counting,” JHEP 0402
2004
Earlier work this paper cites.
M. Aganagic, A. Klemm, M. Mariño and C. Vafa, “The topological vertex,” Commun. Math. Phys
2005
Earlier work this paper cites.
A. Iqbal and A. K. Kashani-Poor, “The vertex on a strip,” Adv. Theor. Math. Phys. 10
2006
Earlier work this paper cites.

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N. Hama, K. Hosomichi and S. Lee, “SUSY Gauge Theories on Squashed Three-Spheres,” JHEP 1105
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B. Eynard and M. Marino, “A holomorphic and background independent partition function for matrix models and topological strings,” J. Geom. Phys. 61
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Y. Terashima and M. Yamazaki, “SL(2,R) Chern-Simons, Liouville, and Gauge Theory on Duality Walls,” JHEP 1108
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