JHEP, 07, 065 (2026)
New F4 invariants in five-dimensional supergravity
Y. Cai1, S. Jayaprakash1, J. T. Liu1, Y. Pang2,3 and R. J. Saskowski2
1 Leinweber Institute for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109, USA.
2 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China.
3 Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, China.
* caiyi@umich.edu, sabare@umich.edu, jimliu@umich.edu, pangyi1@tju.edu.cn, robert_saskowski@tju.edu.cn
Abstract
We consider four-derivative superinvariants of five-dimensional N= 2 supergravity coupled to nv ≤ 2 vector multiplets, which we obtain from both the superconformal tensor calculus approach and dimensional reduction. For the minimal case, with no vector multiplets, it is known that there is a unique four-derivative superinvariant. However, for the case of one vector multiplet, after field redefinitions, we find that there are three independent superinvariants, one of which is a vector superinvariant that does not contain any curvatures and takes the form of a supersymmetrization of F 4. Similarly, for the two vector multiplet case, corresponding to the STU model, we find three gravitational superinvariants and two F4-type vector superinvariants. Moreover, we find that these vector superinvariants do not affect the two- and three-charge static BPS black hole solutions. We further consider the rigid limit to N= 2 super-Yang-Mills and use this to conjecture a family of vector superinvariants for five-dimensional N= 2 supergravity coupled to an arbitrary number of vector multiplets.
