THREE-DIMENSIONAL TOPOLOGICAL FIELD THEORY INDUCED FROM GENERALIZED COMPLEX STRUCTURE
2007 ◽
Vol 22
(25)
◽
pp. 4679-4694
Keyword(s):
We construct a three-dimensional topological sigma model which is induced from a generalized complex structure on a target generalized complex manifold. This model is constructed from maps from a three-dimensional manifold X to an arbitrary generalized complex manifold M. The theory is invariant under the diffeomorphism on the worldvolume and the b-transformation on the generalized complex structure. Moreover the model is manifestly invariant under the mirror symmetry. We derive from this model the Zucchini's two-dimensional topological sigma model with a generalized complex structure as a boundary action on ∂X. As a special case, we obtain three-dimensional realization of a WZ-Poisson manifold.
2006 ◽
Vol 263
(3)
◽
pp. 711-722
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2014 ◽
Vol 66
(1)
◽
pp. 31-56
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2018 ◽
Vol 61
(3)
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pp. 588-607
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2009 ◽
Vol 242
(1)
◽
pp. 53-69
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2013 ◽
Vol 104
(4)
◽
pp. 451-464
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2005 ◽
Vol 20
(13)
◽
pp. 985-995
◽
2019 ◽
Vol 2020
(20)
◽
pp. 6871-6925
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