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Towards reduction of type II theories on SU(3) structure manifolds
Author(s) -
Amir-Kian Kashani-Poor,
Ruben Minasian
Publication year - 2007
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2007/03/109
Subject(s) - physics , supergravity , dimensional reduction , reduction (mathematics) , type (biology) , metric (unit) , mathematical physics , f theory , invariant (physics) , theoretical physics , gauged supergravity , quantum electrodynamics , supersymmetry , geometry , mathematics , string theory , operations management , ecology , economics , biology
We revisit the reduction of type II supergravity on SU(3) structuremanifolds, conjectured to lead to gauged N=2 supergravity in 4 dimensions. Thereduction proceeds by expanding the invariant 2- and 3-forms of the SU(3)structure as well as the gauge potentials of the type II theory in the same setof forms, the analogues of harmonic forms in the case of Calabi-Yau reductions.By focussing on the metric sector, we arrive at a list of constraints theseexpansion forms should satisfy to yield a base point independent reduction.Identifying these constraints is a first step towards a first-principlesreduction of type II on SU(3) structure manifolds.Comment: 20 pages; v2: condition (2.13old) on expansion forms weakened, replaced by (2.13new), (2.14new

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