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arXiv · 1708.07840

Generalized Toda Theory from Six Dimensions and the Conifold

Sam van Leuven·Gerben Oling
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Abstract

Recently, a physical derivation of the Alday-Gaiotto-Tachikawa correspondence has been put forward. A crucial role is played by the complex Chern-Simons theory arising in the 3d-3d correspondence, whose boundary modes lead to Toda theory on a Riemann surface. We explore several features of this derivation and subsequently argue that it can be extended to a generalization of the AGT correspondence. The latter involves codimension two defects in six dimensions that wrap the Riemann surface. We use a purely geometrical description of these defects and find that the generalized AGT setup can be modeled in a pole region using generalized conifolds. Furthermore, we argue that the ordinary conifold clarifies several features of the derivation of the original AGT correspondence.

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Sam van Leuven, Gerben Oling. 2017-08-25. Generalized Toda Theory from Six Dimensions and the Conifold. https://doi.org/10.1007/jhep12(2017)050

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