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arXiv · hep-th/9501096

Topological Reduction of 4D SYM to 2D $σ$--Models

M. Bershadsky·A. Johansen·V. Sadov·C. Vafa
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Abstract

By considering a (partial) topological twisting of supersymmetric Yang-Mills compactified on a 2d space with `t Hooft magnetic flux turned on we obtain a supersymmetric $σ$-model in 2 dimensions. For N=2 SYM this maps Donaldson observables on products of two Riemann surfaces to quantum cohomology ring of moduli space of flat connections on a Riemann surface. For N=4 SYM it maps $S$-duality to $T$-duality for $σ$-models on moduli space of solutions to Hitchin equations.

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M. Bershadsky, A. Johansen, V. Sadov, C. Vafa. 1995-01-20. Topological Reduction of 4D SYM to 2D $σ$--Models. https://doi.org/10.1016/0550-3213(95)00242-k

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