Reducing democratic type II supergravity on SU(3) × SU(3) structures
Reducing democratic type II supergravity on SU(3) × SU(3) structures
复制标题
减少 SU(3) × SU(3) 结构上的民主 II 型超引力
DOI：
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发表时间：
2008
期刊：
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通讯作者：
D. Cassani
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文献类型：
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作者：
D. Cassani
考虑在允许 SU(3) × SU(3) 结构和一般通量的背景下的 II 型超重力。使用广义几何形式主义，我们研究了导致 N = 2 四个维度的超重力的降维，可能具有张量多重态。特别是，给出了完整的 N = 2 标量势的几何公式。然后我们实现截断 ansatz，并导出完整的 N = 2 玻色子作用。虽然 NSNS 贡献是通过直接降维获得的，但 RR 部门的贡献是从民主公式开始计算的，并要求与降维运动方程保持一致。
Type II supergravity on backgrounds admitting SU(3) × SU(3) structure and general fluxes is considered. Using the generalized geometry formalism, we study dimensional reductions leading to N = 2 gauged supergravity in four dimensions, possibly with tensor multiplets. In particular, a geometric formula for the full N = 2 scalar potential is given. Then we implement a truncation ansatz, and derive the complete N = 2 bosonic action. While the NSNS contribution is obtained via a direct dimensional reduction, the contribution of the RR sector is computed starting from the democratic formulation and demanding consistency with the reduced equations of motion.