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Super-Penrose $\And$ Witten Transforms for SCFT$_3$
Deep Mazumdar
https://arxiv.org/abs/2508.02672 https://arxiv.org/pdf/2508.02672

Super-Penrose $\And$ Witten Transforms for SCFT$_3$
The study of three dimensional CFT correlators in twistor space has recently garnered a significant interest. Conformal symmetry acts linearly in the twistor space, which streamlines the analysis. Moreover, twistors provide a connection to the position and momentum space through the Penrose and Witten transforms, respectively. In this work, we develop the supersymmetric versions of Penrose and Witten transforms for three dimensional superconformal field theories for $\mathcal{N}=1\;\textrm{to}\…

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Newman-Penrose-like exact and approximate conservation laws: a covariant and conformal formulation
Berend Schneider
https://arxiv.org/abs/2507.02237 https:…

Newman-Penrose-like exact and approximate conservation laws: a covariant and conformal formulation
Using a conformal extension of the Geroch-Held-Penrose (GHP) formalism I derive a manifestly covariant and conformal expression of Newman-Penrose (NP) constants, which are a set of conserved quantities associated to solutions to the wave equation on light cones in Minkowski space. The resulting expression generalizes to massless fields of arbitrary spin -- including the electromagnetic field, Weyl fermions, and the linearized Weyl tensor -- on conformally flat space-times. In some non-conformal…

💸 Under shadow of Trump warning, Africa pioneers non-dollar payment systems
https://www.japantimes.co.jp/business/2025/06/24/markets/trump-africa-non-dollar-payments/
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Under shadow of Trump warning, Africa pioneers non-dollar payment systems
The move by Africa to create payments systems that do not rely on the greenback mirrors a push by China to develop financial systems independent of Western institutions.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux
Miguel Manzano, Argam Ohanyan, Roland Steinbauer
https://arxiv.org/abs/2508.00231 https:…

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux
The cut-and-paste method is a procedure for constructing null thin shells by matching two regions of the same spacetime across a null hypersurface. Originally proposed by Penrose, it has so far allowed to describe purely gravitational and null-dust shells in constant-curvature backgrounds. In this paper, we extend the cut-and-paste method to null shells with arbitrary gravitational/matter content. To that aim, we first derive a locally Lipschitz continuous form of the metric of the spacetime re…

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The Construction and Application of Penrose Diagrams, with a Focus on the Maximally Analytically Extended Schwarzschild Spacetime
Christian R\"oken
https://arxiv.org/abs/2507.23514

The Construction and Application of Penrose Diagrams, with a Focus on the Maximally Analytically Extended Schwarzschild Spacetime
We present a detailed, mathematically rigorous description of the construction procedure of Penrose diagrams for the example of the maximal analytic extension of the exterior Schwarzschild spacetime. To this end, we first outline the basic idea underlying Penrose diagrams, state the general requirements on the spacetimes to be visualized, and give a definition of Penrose diagrams. We then construct the Penrose diagram of the maximally analytically extended Schwarzschild spacetime and discuss th…

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