Supersymmetry and Attractors in N = 4 Supergravity: The Superconformal Approach

Abhinava Bhattacharjee; Bindusar Sahoo

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arXiv · 2603.28495

Supersymmetry and Attractors in N = 4 Supergravity: The Superconformal Approach

Abhinava Bhattacharjee·Bindusar Sahoo

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Abstract

In this paper, we study the attractor mechanism for extremal, spherically symmetric black holes in pure, untruncated, N=4 Poincaré supergravity, which we demonstrate numerically. We further study the supersymmetries preserved by these attractor solutions by focussing specifically on the constant moduli solutions and show that they always preserve 1/4$^{th}$ of the total supersymmetries. We also give an argument that even the attractor solutions with a ``non-constant'' moduli would preserve 1/4$^{th}$ of the total supersymmetries. This would mean that in pure N=4 supergravity there exist no attractor solutions which are non-supersymmetric although they could in-principle exist in a matter coupled theory. We use the framework of conformal supergravity in our analysis, which is a manifestly off-shell framework and considerably simplifies the Killing spinor analysis.

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BibTeX RIS

Abhinava Bhattacharjee, Bindusar Sahoo. 2026-06-08. Supersymmetry and Attractors in N = 4 Supergravity: The Superconformal Approach. https://arxiv.org/abs/2603.28495

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