Work

BPS solutions of 4d Euclidean $$ \mathcal{N}=2 $$ supergravity with higher derivative interactions

Year: 2026

Type: article

Abstract: A bstract We study fully BPS and a broad class of half-BPS stationary configurations of four-dimensional Euclidean $$ \mathcal{N}=2 $$ N = 2 supergravity with higher-derivative interactions. Working within the off-shell conformal supergravity framework of de Wit and Reys (arXiv:1706.04973), we analyse the complete set of Killing spinor equations and obtain the corresponding algebraic and differential constraints. We further derive the Euclidean attractor equations and evaluate the Wald entropy for the fully BPS AdS 2 × S 2 background. For half-BPS stationary configurations, we obtain the generalized stabilization equations expressing all fields in terms of harmonic functions on three-dimensional flat base space, extending the Lorentzian analysis of Cardoso et al. ( hep-th/0009234 ) to the Euclidean signature. Our results provide a framework for studying supersymmetric saddles and computing the gravitational indices entirely within Euclidean higher-derivative supergravity, without recourse to analytic continuation.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep03(2026)136

Authors: Soumya Adhikari, Abhinava Bhattacharjee, Amitabh Virmani

Institutions: Sogang University, Indian Institute of Science Education and Research Thiruvananthapuram, Chennai Mathematical Institute

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond