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The many symmetries of Calabi-Yau compactifications (2010)
by M H Emam
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...ld M with nontrivial complex structure moduli yields an N = 2 supergravity theory in D = 5 with a set of scalar fields and their supersymmetric partners all together known as the hypermultiplets (see =-=[15]-=- for a review and additional references). It should be noted that the other matter sector in the theory; the vector multiplets, trivially decouples from the hypermultiplets and can be simply set to ze...
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...ld M with nontrivial complex structure moduli yields an N = 2 supergravity theory in D = 5 with a set of scalar fields and their supersymmetric partners all together known as the hypermultiplets (See =-=[16]-=- for a review and additional references). These are partially comprised of the universal hypermultiplet( a, σ, ζ0, ζ̃0 ) , so called because it appears irrespective of the detailed structure of the Ca...
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...y, the modified Friedmann equations are derived and the full solution is summarized in section (V). II Five dimensional N = 2 supergravity The dimensional reduction of D = 11 supergravity theory (see =-=[17]-=- for a review) over a rigid Calabi-Yau 3-fold (constant Kähler and complex structure moduli) yields an ungauged N = 2 supersymmetric gravity theory in D = 5 with a matter sector comprised of four sca...
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...hey are written in split-complex form. Specifically, these have the interpretation of instantons and 3-branes in D = 5. 2 2 Complex and split-complex N = 2 supergravity The dimensional reduction (see =-=[19]-=- for a review) of D = 11 supergravity theory over a rigid Calabi-Yau 3-fold with constant Kähler and complex structure moduli yields an ungauged N = 2 supersymmetric gravity theory in D = 5 with a ma...
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