Twisting gauged non-linear sigma-models

Details Twisting gauged non-linear sigma-models Twisting gauged non-linear sigma-models

2007-07-18

arxiv.org/abs/0707.2786v2

JHEP 0802:096,2008

Physics

High Energy Physics

High Energy Physics - Theory

33 pages; v2: small additions, published version

Scientific paper

10.1088/1126-6708/2008/02/096

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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