A heterotic sigma model with novel target geometry

Details A heterotic sigma model with novel target geometry A heterotic sigma model with novel target geometry

2011-01-07

arxiv.org/abs/1101.1389v3

JHEP 1104:064,2011

Physics

High Energy Physics

High Energy Physics - Theory

83 pages, no figures, 2 references added

Scientific paper

10.1007/JHEP04(2011)064

We construct a (1,2) heterotic sigma model whose target space geometry consists of a transitive Lie algebroid with complex structure on a Kaehler manifold. We show that, under certain geometrical and topological conditions, there are two distinguished topological half--twists of the heterotic sigma model leading to A and B type half--topological models. Each of these models is characterized by the usual topological BRST operator, stemming from the heterotic (0,2) supersymmetry, and a second BRST operator anticommuting with the former, originating from the (1,0) supersymmetry. These BRST operators combined in a certain way provide each half--topological model with two inequivalent BRST structures and, correspondingly, two distinct perturbative chiral algebras and chiral rings. The latter are studied in detail and characterized geometrically in terms of Lie algebroid cohomology in the quasiclassical limit.

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