ダブル／エクセプショナル場の理論における非幾何的フラックスコンパクト化の真空構造

1)广义超重力理论中Weyl异常的研究。我们已经能够推广Fradkin-Tseytlin项来抵消Weyl异常。我们还发现了这种理论与测量的9维超引力之间的直接关系。2)研究II型弦理论或m -理论紧化到三维或更高维度的完整奇异膜谱。我们展示了如何系统地获得奇异域壁膜和空间填充膜的背景，作为双场理论或例外场理论的解。3)相互作用场论的连续多尺度纠缠重整化Ansatz （cMERA）研究。特别地，我们给出了基于场和共轭动量的非线性正则变换的λ ^4相互作用的公式。这个公式使我们能够捕捉到理论的一些非摄动效应。4)从降维的几何模量的角度，研究了单个o6平面至D=6时IIA型紧化所产生的标量势的形式。其次，通过群论论证，导出了6D中（大质量）IIA型超重力嵌入张量变形之间的字典。

1) Study of the Weyl anomaly in generalised supergravity theories. We have been able to generalise the Fradkin-Tseytlin term to cancel the Weyl anomaly. We have also found a direct relation between such theory and a gauged 9-dimensional supergravity.2) Study of the brane spectrum that provide a full list of exotic branes in type II string theory or M-theory compactified to three or higher dimensions. We show how to systematically obtain backgrounds of exotic domain-wall branes and space-filling branes as solutions of the double field theory or the exceptional field theory.3) Study of the continuous Multiscale Entanglement Renormalization Ansatz (cMERA) for interacting field theories. In particular, we have given a prescription for lambda phi^4 interaction based on non-linear canonical transformations of the fields and conjugate momenta This formulation enables us to capture some non-perturbative effects of the theories.4) Study of he form of the scalar potentials arising from type IIA compactifications with one single O6-plane down to D=6 in terms of the geometric moduli from dimensional reduction. Secondly, by means of group theoretical arguments, we derive the dictionary between embedding tensor deformations of (massive) type IIA supergravity in 6D.