BPS Solutions of 4d Euclidean N=2 Supergravity with Higher Derivative Interactions
Abstract
We study fully BPS and a broad class of half-BPS stationary configurations of four-dimensional Euclidean 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 x 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 (arXiv: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.
Keywords
Cite
@article{arxiv.2511.18771,
title = {BPS Solutions of 4d Euclidean N=2 Supergravity with Higher Derivative Interactions},
author = {Soumya Adhikari and Abhinava Bhattacharjee and Amitabh Virmani},
journal= {arXiv preprint arXiv:2511.18771},
year = {2026}
}
Comments
v1: 35 pages; v2: preprint number added, bibliography improved, no other changes; v3: a section summarising the half-BPS analysis added, typos corrected + other minor changes, version to appear in JHEP