论文标题
4D $ \ MATHCAL {n} = 2 $更高的衍生超级重力的最大对称坚果
Maximally symmetric nuts in 4d $\mathcal{N}=2$ higher derivative supergravity
论文作者
论文摘要
我们在4D $ \ MATHCAL {N} = 2 $欧几里得超级重力的系统中进行系统研究，在存在较高衍生校正的无限塔的情况下。采用长臂猿的观点，对螺母和螺栓的评估进行评估，我们考虑两个最大对称的真空$ \ MATHBB {r}^4 $和$ \ MATHBB {H}^4 $（Euclidean Ads $ _4 $）及其独特的Supersmetrics Sufters（Antife at Antife at Antife at Antif Attim）（ant-sax）（Antife）（Antife）（Antife ant）（antimmetric）（Antife at Antife at Antife antim）（ 中心。这些是Nekrasov-Okounkov的欧米茄背景，$ω\，\ Mathbb {r}^4 $及其概括具有Martelli-passias-sparks的宇宙常数，称为$ω\，\ Mathbb {h}^4 $（也称为$ U（也称为$ u（$ u（u（u（u u u u u u u u（u u u u（u u u u（u u u u u u u u u（1）），Mathbb）{h}^4 $（也称为1）。在存在矢量多重的情况下，我们在超符号形式主义中写下了BPS配置，并得出相应的外壳和壳操作。我们的结果为Arxiv中的猜想的重要部分提供了严格的证明：2111.06903及其在ARXIV中的全息推论：2204.02992，我们将详细讨论，例如添加超强型和锥形缺陷的扩展。
We initiate a systematic study of supersymmetric backgrounds in 4d $\mathcal{N}=2$ Euclidean supergravity in the presence of infinite towers of higher derivative corrections. Adopting a Gibbons-Hawking view towards the evaluation of the action in terms of nuts and bolts, we consider the two maximally symmetric vacua $\mathbb{R}^4$ and $\mathbb{H}^4$ (Euclidean AdS$_4$) and their unique supersymmetric deformations with (anti-) self-dual Maxwell tensors corresponding to a single nut at the center. These are the Omega background of Nekrasov-Okounkov, $Ω\, \mathbb{R}^4$, and its generalization with a cosmological constant of Martelli-Passias-Sparks, denoted $Ω\, \mathbb{H}^4$ (also known as the gravity dual of the $U(1) \times U(1)$ squashed sphere). We write down the BPS configurations in the superconformal formalism in the presence of vector multiplets and derive the corresponding off- and on-shell actions. Our results provide a rigorous proof for important parts of the conjecture in arXiv:2111.06903 and its holographic corollary in arXiv:2204.02992, which we discuss in detail along with extensions such as the addition of hypermultiplets and the presence of conical defects.
