BPS Solutions of 4d Euclidean N=2 Supergravity with Higher Derivative Interactions

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Main Authors: Adhikari, Soumya, Bhattacharjee, Abhinava, Virmani, Amitabh
Format: Preprint
Published: 2025
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author Adhikari, Soumya
Bhattacharjee, Abhinava
Virmani, Amitabh
author_facet Adhikari, Soumya
Bhattacharjee, Abhinava
Virmani, Amitabh
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_18771
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle BPS Solutions of 4d Euclidean N=2 Supergravity with Higher Derivative Interactions
Adhikari, Soumya
Bhattacharjee, Abhinava
Virmani, Amitabh
High Energy Physics - Theory
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.
title BPS Solutions of 4d Euclidean N=2 Supergravity with Higher Derivative Interactions
topic High Energy Physics - Theory
url https://arxiv.org/abs/2511.18771