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arxiv: 1309.2305 · v2 · pith:DR6Z4WYQnew · submitted 2013-09-09 · ✦ hep-th

Gauge Theory Dynamics and Kahler Potential for Calabi-Yau Complex Moduli

classification ✦ hep-th
keywords calabi-yaucomplexgaugeexactkahlermodulipotentialtheories
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We compute the exact two-sphere partition function and matrix of two-point functions of operators in the chiral ring with their complex conjugates in two-dimensional supersymmetric gauge theories. For gauge theories that flow in the infrared to a Calabi-Yau nonlinear sigma model, these renormalization group invariant observables determine the exact Kahler potential and associated Zamolodchikov metric in the complex structure moduli space of the Calabi-Yau manifold.

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