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arXiv · 1711.11011

BPS/CFT correspondence IV: sigma models and defects in gauge theory

Nikita Nekrasov
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Abstract

Quantum field theory $L_1$ on spacetime $X_{1}$ can be coupled to another quantum field theory $L_2$ on a spacetime $X_{2}$ via the third quantum field theory $L_{12}$ living on $X_{12} = X_{1} \cap X_{2}$. We explore several such constructions with two and four dimensional $X_{1}, X_{2}$'s and zero and two dimensional $X_{12}$'s, in the context of $\mathcal{N}=2$ supersymmetry, non-perturbative Dyson-Schwinger equations, and BPS/CFT correspondence. The companion paper will show that the BPZ and KZ equations of two dimensional conformal field theory are obeyed by the half-BPS surface defects in quiver $\mathcal{N}=2$ gauge theories.

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Nikita Nekrasov. 2018-07-17. BPS/CFT correspondence IV: sigma models and defects in gauge theory. https://doi.org/10.1007/s11005-018-1115-7

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