- Twisting gauged non-linear sigma-models
- The Journal of High Energy Physics
- Volume | Issue number
- 2008 | 2
- Number of pages
- Document type
- Faculty of Science (FNWI)
- Institute for Theoretical Physics Amsterdam (ITFA)
We consider gauged sigma-models from a Riemann surface into a Kähler 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 Kähler quotient X//G.
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