N=2 strings and the twistorial Calabi-Yau

Andrew Neitzke; Cumrun Vafa

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arXiv · hep-th/0402128

N=2 strings and the twistorial Calabi-Yau

Andrew Neitzke·Cumrun Vafa

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Abstract

We interpret the A and B model topological strings on CP^{3|4} as equivalent to open N=2 string theory on spacetime with signature (2,2), when covariantized with respect to SO(2,2) and supersymmetrized a la Siegel. We propose that instantons ending on Lagrangian branes wrapping RP^{3|4} deform the self-dual N=4 Yang-Mills sector to ordinary Yang-Mills by generating a `t Hooft like expansion. We conjecture that the A and B versions are S-dual to each other. We also conjecture that mirror symmetry may explain the recent observations of Witten that twistor transformed N=4 Yang-Mills amplitudes lie on holomorphic curves.

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Andrew Neitzke, Cumrun Vafa. 2004-02-26. N=2 strings and the twistorial Calabi-Yau. https://arxiv.org/abs/hep-th/0402128

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