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Consistent truncations around half-maximal AdS5 vacua of 11-dimensional supergravity
Classical and Quantum Gravity ( IF 3.6 ) Pub Date : 2022-03-17 , DOI: 10.1088/1361-6382/ac566a Emanuel Malek 1 , Valentí Vall Camell 2
Classical and Quantum Gravity ( IF 3.6 ) Pub Date : 2022-03-17 , DOI: 10.1088/1361-6382/ac566a Emanuel Malek 1 , Valentí Vall Camell 2
Affiliation
We use exceptional field theory to systematically study all possible consistent truncations around any M -theory half-maximal vacua of the warped product form AdS5 × M
3 × S
2 × S
1, with M
3 a three-dimensional manifold. We show that, for any of these vacua, only truncations with at most three vector multiplets are consistent. Furthermore, the possible gaugings are restricted to be either SU(2) × U(1) or ISO(3) × U(1) where, in the first case, the U(1) factor can have different embeddings inside the global symmetry group SO(5, n ), where n ⩽ 3 equals the number of vector multiplets. This rules out the possibility of any other gauging arising as a consistent truncation around the aforementioned M -theory vacua. Our analysis shows that of the many flows from half-maximal to quarter-maximal AdS5 vacua constructed in five-dimensional supergravity in Bobev (2018 J. High Energy Phys.
6 86), only those corresponding to an adjoint mass deformation in the dual SCFT can be uplifted to 11-dimensional supergravity. The other flows are five-dimensional artefacts without a higher-dimensional origin. Furthermore, consistent truncations with vector multiplets exist only if the vacuum satisfies certain conditions, which we derive.
中文翻译:
11 维超重力的半最大 AdS5 真空周围的一致截断
我们使用异常场论系统地研究任何可能的一致截断米 -翘曲产物形式 AdS 的理论半最大真空5 ×米
3 ×小号
2 ×小号
1 , 与米
3三维流形。我们表明,对于这些真空中的任何一个,只有最多三个向量多重态的截断是一致的。此外,可能的测量被限制为 SU(2) × U(1) 或 ISO(3) × U(1),其中,在第一种情况下,U(1) 因子可以在全局对称性内具有不同的嵌入组 SO(5,n ), 在哪里n ⩽ 3 等于矢量多重态的数量。这排除了作为围绕上述内容的一致截断而产生的任何其他衡量的可能性米 -理论真空。我们的分析表明,在 Bobev (2018) 的五维超重力中构建的从半最大到四分之一最大 AdS 5 vacua 的许多流中J. 高能物理学。
6个 86), 只有那些对应于双 SCFT 中的伴随质量变形的才能被提升到 11 维超引力。其他流是没有更高维度起源的五维人工制品。此外,只有当真空满足我们推导出的某些条件时,才存在与向量多重态的一致截断。
更新日期:2022-03-17
中文翻译:
11 维超重力的半最大 AdS5 真空周围的一致截断
我们使用异常场论系统地研究任何可能的一致截断