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Freudenthal duality (FD) is a non-linear symmetry of the Bekenstein-Hawking entropy of extremal dyonic black holes (BHs) in Maxwell-Einstein-scalar theories in four space-time dimensions realized as an anti-involutive map in the symplectic…

High Energy Physics - Theory · Physics 2024-04-05 Arghya Chattopadhyay , Taniya Mandal , Alessio Marrani

Freudenthal duality, introduced in L. Borsten, D. Dahanayake, M. J. Duff and W. Rubens, Phys.Rev. D80, 026003 (2009), and defined as an anti-involution on the dyonic charge vector in d = 4 space-time dimensions for those dualities admitting…

High Energy Physics - Theory · Physics 2015-05-27 Sergio Ferrara , Alessio Marrani , Armen Yeranyan

Freudenthal duality is, as of now, the unique non-linear map on electric-magnetic (e.m.) charges which is a symmetry of the Bekenstein-Hawking entropy of extremal black holes in Maxwell-Einstein-scalar theories in four space-time…

High Energy Physics - Theory · Physics 2023-08-22 Arghya Chattopadhyay , Taniya Mandal , Alessio Marrani

The quantised charges x of four dimensional stringy black holes may be assigned to elements of an integral Freudenthal triple system whose automorphism group is the corresponding U-duality and whose U-invariant quartic norm Delta(x)…

High Energy Physics - Theory · Physics 2009-07-21 L. Borsten , D. Dahanayake , M. J. Duff , W. Rubens

We present a novel gauge field theory, based on the Freudenthal Triple System (FTS), a ternary algebra with mixed symmetry (not completely symmetric) structure constants. The theory, named Freudenthal Gauge Theory (FGT), is invariant under…

High Energy Physics - Theory · Physics 2015-06-05 Alessio Marrani , Cong-Xin Qiu , Sheng-Yu Darren Shih , Anthony Tagliaferro , Bruno Zumino

Freudenthal duality (F-duality), an anti-involution of charge vectors keep the entropy and attractor solutions invariant for an extremal supersymmetric black hole. In this paper, we analyze the effect of F-duality on the entropy of a…

High Energy Physics - Theory · Physics 2022-03-22 Arghya Chattopadhyay , Taniya Mandal

We present a conformal isometry for static extremal black hole solutions in all four-dimensional Einstein-Maxwell-scalar theories with electromagnetic duality groups `of type $E_7$'. This includes, but is not limited to, all supergravity…

General Relativity and Quantum Cosmology · Physics 2018-12-27 L. Borsten , M. J. Duff , A. Marrani

Freudenthal duality can be defined as an anti-involutive, non-linear map acting on symplectic spaces. It was introduced in four-dimensional Maxwell-Einstein theories coupled to a non-linear sigma model of scalar fields. In this short…

High Energy Physics - Theory · Physics 2015-09-30 Alessio Marrani

Freudenthal duality in N=2, D=4 ungauged supergravity is generated by an anti-involutive operator that acts on the electromagnetic fluxes, and results to be a symmetry of the Bekenstein-Hawking entropy. We show that, with a suitable…

High Energy Physics - Theory · Physics 2017-04-26 Dietmar Klemm , Alessio Marrani , Nicolò Petri , Marco Rabbiosi

Rotational Freudenthal duality (RFD) relates two extremal Kerr-Newman (KN) black holes (BHs) with different angular momenta and electric-magnetic charges, but with the same Bekenstein-Hawking entropy. Through the Kerr/CFT correspondence…

High Energy Physics - Theory · Physics 2024-11-28 Arghya Chattopadhyay , Taniya Mandal , Alessio Marrani

We show that the representation of black-hole solutions in terms of the variables H^M which are harmonic functions in the supersymmetric case is non-unique due to the existence of a local symmetry in the effective action. This symmetry is a…

High Energy Physics - Theory · Physics 2015-06-12 Pietro Galli , Patrick Meessen , Tomas Ortin

We demonstrate that Kerr/CFT duality can be extended to rotating charged black hole solution surrounded by quintessence in Rastall gravity. Since Rastall gravity can be considered as $F(R,T) = R + \beta T $ theory with the addition of a…

High Energy Physics - Theory · Physics 2021-02-03 Muhammad Fitrah Alfian Rangga Sakti , Freddy Permana Zen

The global U-dualities of extended supergravity have played a central role in differentiating the distinct classes of extremal black hole solutions. When the U-duality group satisfies certain algebraic conditions, as is the case for a broad…

High Energy Physics - Theory · Physics 2013-10-11 L. Borsten , M. J. Duff , S. Ferrara , A. Marrani

We explore black hole solutions and some of its physical properties in Einstein's theory in 4D, modified by a cubic gravity term and in the presence of non-linear electrodynamics. In the context of Effective Field Theories (EFT) and under…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Gustavo Gutierrez-Cano , Gustavo Niz

In 4-dimensional supergravity theories, covariant under symplectic electric-magnetic duality rotations, a significant role is played by the symplectic matrix M({\phi}), related to the coupling of scalars {\phi} to vector field-strengths. In…

High Energy Physics - Theory · Physics 2015-06-15 Sergio Ferrara , Alessio Marrani , Emanuele Orazi , Mario Trigiante

We present a detailed description of N=2 stationary BPS multicenter black hole solutions for quadratic prepotentials with an arbitrary number of centers and scalar fields making a systematic use of the algebraic properties of the matrix of…

High Energy Physics - Theory · Physics 2015-06-17 J. J. Fernandez-Melgarejo , E. Torrente-Lujan

We study new classes of generic off-diagonal and diagonal cosmological solutions for effective Einstein equations in modified gravity theories, MGTs, with modified dispersion relations, MDRs, encoding possible violations of (local) Lorentz…

General Physics · Physics 2021-06-02 Panayiotis Stavrinos , Sergiu I. Vacaru

The Bekenstein-Hawking entropy of a black hole is proportional to its horizon area, hence in $D=2$ spacetime dimensions it is constant because the horizon degenerates into two points. This fact is consistent with Einstein's gravity becoming…

High Energy Physics - Theory · Physics 2023-07-26 Shin'ichi Nojiri , Sergei D. Odintsov , Valerio Faraoni

Two of the most fundamental problems at the nexus of Einstein's classical General Relativity (GR) and Quantum Field Theory (QFT) are: (1) complete gravitational collapse, presumed in classical GR to lead to a Black Hole (BH) horizon and…

General Relativity and Quantum Cosmology · Physics 2022-06-02 Emil Mottola

We study the gravitational perturbations of black holes in quadratic gravity, in which the Einstein-Hilbert term is supplemented by quadratic terms in the curvature tensor. In this class of theories, the Schwarzschild solution can coexist…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani
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