Starting from the eleven dimensional E_{11} non-linear realisation of M-theory we compute all possible forms, that is objects with totally antisymmetrised indices, that occur in four dimensions and above as well as all the 1-forms and 2-forms in three dimensions. In any dimension D, the D-1-forms lead to maximal supergravity theories with cosmological constants and they are in precise agreement with the patterns of gauging found in any dimension using supersymmetry. The D-forms correspond to the presence of space-filling branes which are crucial for the consistency of orientifold models and have not been derived from an alternative approach, with the exception of the 10-dimensional case. It follows that the gaugings of supergravities and the spacetime-filling branes possess an eleven dimensional origin within the E_{11} formulation of M-theory. This and previous results very strongly suggest that all the fields in the adjoint representation of E_{11} have a physical interpretation.
Which theories have a higher dimensional origin in String/M-theory is a non trivial question and it is still far from being understood in the constrained scenario of maximal supergravities. After 35 years of progress in this direction we have found supporting evidence in favor of the idea that every electric maximal supergravity in 4 dimensions can be uplifted to M-theory. We will review the current understanding of this problem with special emphasis in the uplifting of non compact supergravities and their relation with Exceptional Generalised Geometry.
We describe a new procedure to obtain consistent backgrounds that uplift vacua and deformations of various maximal gauged supergravities by taking a known solution and performing singular limits along the moduli space of the corresponding 4-dimensional theory. We then apply this procedure to the S^3 x H^{2,2} background that provides the uplift of 4-dimensional Minkowski vacua of maximal supergravity with gauge group [SO(4) x SO(2,2)] $\ltimes$ R^{16}. We find that the newly generated vacua are generally only locally geometric and correspond to asymmetric orbifolds, Q-flux backgrounds or combi…
Extended Drinfel'd algebra (ExDA) is the underlying symmetry of non-Abelian duality in the low-energy effective theory of string theory. Non-Abelian U-dualities in maximal supergravities have been studied well, but there has been no study on non-Abelian dualities in half-maximal supergravities. In this paper, we construct the ExDA for half-maximal supergravities in $d\geq 4$. We also find an extension of the homogeneous classical Yang-Baxter equation in these theories.
This short note provides (TensorFlow-based) numerical evidence for the embedability (in the limit of a scalar parameter going to infinity) of the scalar potential of dyonic N=8, D=4 SO(8) supergravity into the scalar potential of N=16, D=3 SO(8)xSO(8) supergravity. One finds that the dyonic $ω$-angle gets identified with the compact U(1) part of the SL(2) factor of the SL(2)xE7(7) subgroup of E8(8).
Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova（帕多瓦大学伽利略·伽利莱物理与天文系）；INFN, Sezione di Padova（意大利国家核物理研究所帕多瓦分部）；Université Libre de Bruxelles (ULB)（布鲁塞尔自由大学）；International Solvay Institutes（国际索尔维研究所）
We construct codimension-2 BPS brane solutions in $D=9,8,7$ maximal supergravities by solving Killing spinor equations. We assume the Poincare invariance along the worldvolume and vanishing gauge fields, and determine the metric and the scalar fields. The solution in $D=9$ is essentially the same as the ten-dimensional one, which is specified by a holomorphic function in the transverse space. For $D=8$, the solution is specified by two holomorphic functions, and regarded as $T^2\times T^2$ compactification of F-theory. For $D=7$, we find that the solution can be interpreted as M-theory on Cala…
Cosmic Billiards with Painted Walls in Non-Maximal Supergravities: a worked out example
将用补偿器方法导出的光滑宇宙台球解推广到非极大超引力。一个新的关键特征是标量陪集流形的非最大分裂性质。为了解决这个问题，我们需要山雀佐竹投影的理论，从而导致最大分裂投影代数。有趣的精确解，显示几个光滑的反弹，从而可以得出。从山雀Satake投影的分析中出现了一个规则的计划，所有非最大的超引力和一个具有挑战性的迄今未观察到的结构，即油漆组G油漆。后者通过降维来保留，并提供了一个强大的工具来编码解决方案。看起来，宇宙球在其上反弹的动力学墙壁实际上是由G-油漆旋转到彼此的油漆副本。有效的宇宙动力学是由最大分裂山雀佐竹流形加上油漆所决定的。详细计算了N=6，D=4的超引力，其标量流形为特殊的Kahlerian SO ~*（12）}/SU ~（6）× U ~（1）。当D=3时，它映射到四元数E_7（-5）/ SO（12）× SO（3）。从这个例子中，我们提取出一个方案，适用于所有超重力均匀标量流形，我们计划推广到一般的特殊几何。我们还评论合并的Tits-Satake投影与仿射卡茨-穆迪扩展起源于降维D=2和D=1。
Finding vacua of supergravity theories is an outstanding problem which has been tackled in several ways, and with this work we add a new method to the puzzle. We analyse the scalar sector of maximal gauged supergravity theories in seven space-time dimensions. We look for vacua of the theory by varying the embedding tensor, instead of directly minimising the scalar potential. The set of quadratic constraints arising from this procedure has been solved by means of Evolution Strategies optimisation techniques, also adopted in Artificial Intelligence studies. We develop some methods to reconstruct…
We study the gauging of maximal $d=8$ supergravity using the embedding tensor formalism. We focus on SO$(3)$ gaugings, study all the possible choices of gauge fields and construct explicitly the bosonic actions (including the complicated Chern-Simons terms) for all these choices, which are parametrized by a parameter associated to the 8-dimensional SL$(2,\mathbb{R})$ duality group that relates all the possible choices which are, ultimately, equivalent from the purely 8-dimensional point of view. Our result proves that the theory constructed by Salam and Sezgin by Scherk-Schwarz compactificatio…
Surprising one-loop finiteness of 6D half-maximal supergravities
National Taiwan University（国立台湾大学）；National Center for Theoretical Sciences（国家理论科学中心）；Max Planck-IAS-NTU Center for Particle Physics, Cosmology and Geometry（马克斯·普朗克IAS-台大粒子物理、宇宙学与几何中心）；Uppsala University（乌普萨拉大学）；Queen Mary University of London（伦敦大学玛丽女王学院）
本文给出了在$4\le D \le 11$维的所有极大超引力理论中，由$D=11$超引力降维得到的$p$膜孤子的构造.我们首先获得了完整的玻色拉格朗日所有这些理论的形式适应的$p$膜孤子建设。我们考虑的解涉及一个介子场和一个反对称张量场强，它们一般是超引力理论基本场的线性组合。我们还通过计算由超荷算符导出的Bogomol'nyi矩阵的特征值研究了解的超对称性。我们给出了一个详尽的列表的超对称$p$膜解决方案使用所有程度的$n=4,3,2,1$的场强，和非超对称解决方案$n=4,3,2$。除了研究基本解和孤子解外，我们还讨论了$D=6$和$D=4$中的双子解。特别地，我们发现超对称无质量双子解的Bogomol'nyi矩阵具有不定特征。
We study the classical double copy for ungauged half-maximal supergravities using the Kaluza-Klein reduction of double field theory (DFT). We construct a general formula for the Kaluza-Klein (KK) reduction of the DFT Kerr-Schild ansatz. The KK reduction of the ansatz is highly nonlinear, but the associated equations of motion are linear. This linear structure implies that half-maximal supergravities admit a classical double copy. We show that their single copy is given by a pair of Maxwell-scalar theories, which are the KK reduction of a higher-dimensional single copy of DFT. We also investiga…
在最近构造了最大（N=16）规范超引力的基础上，我们导出了D=3，N=8的规范超引力作为相应的标量流形SO（8，n）/（SO（8）× SO（n））的非规范理论的变形.作为特例，我们恢复了N=（4，4）的SO（4）= SO（3）_L x SO（3）_R理论，它再现了D=6，N=（2，0）超引力在AdS_3 x S^3上紧化的对称性和无质量谱.
We study maximally supersymmetric AdS$_D$ solutions of gauged supergravities in dimensions $D \geq 4$. We show that such solutions can only exist if the gauge group after spontaneous symmetry breaking is a product of two reductive groups $H_R \times H_\mathrm{mat}$, where $H_R$ is uniquely determined by the dimension D and the number of supersymmetries N while $H_\mathrm{mat}$ is unconstrained. This resembles the structure of the global symmetry groups of the holographically dual SCFTs, where $H_R$ is interpreted as the R-symmetry and $H_\mathrm{mat}$ as the flavor symmetry. Moreover, we discu…
We discuss duality orbits and symplectic deformations of D=4 gauged supergravity theories, with focus on N$\ge$2. We provide a general constructive framework for computing symplectic deformations starting from a reference gauging, and apply it to many interesting examples. We prove that no continuous deformations are allowed for Fayet-Iliopoulos gaugings of the N=2 STU model and in particular that any $ω$ deformation is classically trivial. We further show that although in the N=6 truncation of SO(8) maximal supergravity the $ω$ parameter can be dualized away, in the 'twin' N=2 truncation $ω$ …
Symmetries of non-maximal supergravities with higher-derivative corrections
Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University（天津大学理学院物理系联合量子研究中心）；Peng Huanwu Center for Fundamental Theory（彭桓武基础理论中心）；Tianjin University（天津大学）
