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arXiv · 0707.2786

Twisting gauged non-linear sigma-models

J. M. Baptista
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Abstract

We consider gauged sigma-models from a Riemann surface into a Kaehler and hamiltonian G-manifold X. The supersymmetric N=2 theory can always be twisted to produce a gauged A-model. This model localizes to the moduli space of solutions of the vortex equations and computes the Hamiltonian Gromov-Witten invariants. When the target is equivariantly Calabi-Yau, i.e. when its first G-equivariant Chern class vanishes, the supersymmetric theory can also be twisted into a gauged B-model. This model localizes to the Kaehler quotient X//G.

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J. M. Baptista. 2008-03-26. Twisting gauged non-linear sigma-models. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F096

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