New higher-derivative invariants in N = 2 supergravity and the Gauss-Bonnet term
New higher-derivative invariants in N = 2 supergravity and the Gauss-Bonnet term
复制标题
N = 2 超重力和 Gauss-Bonnet 项中的新高导不变量
DOI：
10.1007/jhep12(2013)062
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发表时间：
2013
影响因子：
5.4
通讯作者：
I. Lodato
中科院分区：
文献类型：
--
作者：
D. Butter;B. Wit;S. Kuzenko;I. Lodato
基于共形准素手征超场的图，构造了一类新的N = 2局部超对称高阶导数不变量。它们的特征是涉及到$ {{\mathcal{R}}_{uv}}^2-\frac{1}{3}{{\mathcal{R}}^2} $的耦合，它等于高斯-博内项的非共形部分。将一个这样的不变量与已知的外尔张量平方的超对称形式相结合，就得到了高斯-博内项的超对称扩展。该结构是在共形超空间和超共形多重态微积分的背景下进行的。新的超对称不变量类解决了两个悬而未决的问题。第一个问题是正确识别四维超对称不变量，这些不变量是由五维混合规范-引力陈-西蒙斯项降维而产生的。第二是为什么没有超对称完备的纯Gauss-Bonnet项在某些模型中的BPS黑洞熵的计算中再现了正确的结果。
A bstractA new class of N = 2 locally supersymmetric higher-derivative invariants is constructed based on logarithms of conformal primary chiral superfields. They characteristically involve a coupling to $ {{\mathcal{R}}_{uv}}^2-\frac{1}{3}{{\mathcal{R}}^2} $, which equals the non-conformal part of the Gauss-Bonnet term. Upon combining one such invariant with the known supersymmetric version of the square of the Weyl tensor, one obtains the supersymmetric extension of the Gauss-Bonnet term. The construction is carried out in the context of both conformal superspace and the superconformal multiplet calculus. The new class of supersymmetric invariants resolves two open questions. The first concerns the proper identification of the 4D supersymmetric invariants that arise from dimensional reduction of the 5D mixed gauge-gravitational Chern-Simons term. The second is why the pure Gauss-Bonnet term without supersymmetric completion has reproduced the correct result in calculations of the BPS black hole entropy in certain models.