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)广义超引力理论中外尔反常的研究。我们已经能够推广的弗拉德金-蔡特林项取消外尔异常。我们还发现了这种理论和规范的9维超引力之间的直接关系。2）膜谱的研究提供了II型弦理论或紧化到三维或更高维的M理论中奇异膜的完整列表。我们展示了如何系统地获得奇异畴壁膜和空间填充膜的背景作为双场论或例外场论的解。3）研究相互作用场论的连续多尺度纠缠重整化近似（cMERA）。特别地，我们给出了一个基于场和共轭动量的非线性正则变换的λ φ ^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微扰效应。4）研究了由一个单一的O 6-平面下至D=6的IIA型紧化产生的标量势的形式。其次，利用群论的方法，我们导出了6D中（有质量的）IIA型超引力的嵌入张量形变之间的字典。

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.