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We study conformally-invariant theories of gravity in six dimensions. In four dimensions, there is a unique such theory that is polynomial in the curvature and its derivatives, namely Weyl-squared, and furthermore all solutions of Einstein…

High Energy Physics - Theory · Physics 2013-05-21 H. Lu , Y. Pang , C. N. Pope

We compute the first-order $\alpha'$ corrections to a family of 4-dimensional, 4-charge, non-extremal black hole solutions of Heterotic Supergravity in the case with 3 independent charges. The solutions are fully analytic, reproduce the…

High Energy Physics - Theory · Physics 2023-08-25 Matteo Zatti

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

We revisit the four-dimensional theory of gravity that arises from string theory with higher-derivative corrections. By compactifying and truncating the ten-dimensional effective action of heterotic string theory at first order in…

High Energy Physics - Theory · Physics 2022-02-23 Pablo A. Cano , Alejandro Ruipérez

We perform the spherical symmetric dimensional reduction $4d\to2d$ of heterotic string theory. We find a class of two-dimensional (2d) dilaton gravity models that gives a general description of the near-horizon, near-extremal behavior of…

High Energy Physics - Theory · Physics 2010-11-19 Mariano Cadoni

Four dimensional heterotic string effective action is known to admit non-rotating electrically and magnetically charged black hole solutions. It is shown that the partition functions and entropies in both the cases are identical when these…

High Energy Physics - Theory · Physics 2009-10-28 Amit Ghosh , Jnanadeva Maharana

We study both the "large" and "small" U-duality charge orbits of extremal black holes appearing in D = 5 and D = 4 Maxwell-Einstein supergravity theories with symmetric scalar manifolds. We exploit a formalism based on cubic Jordan algebras…

High Energy Physics - Theory · Physics 2012-07-11 L. Borsten , M. J. Duff , S. Ferrara , A. Marrani , W. Rubens

We show that, in the first or second order orthonormal frame formalism, black hole entropy is the horizon Noether charge for a combination of diffeomorphism and local Lorentz symmetry involving the Lie derivative of the frame. The Noether…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Ted Jacobson , Arif Mohd

We revisit the classical stability of Schwarzschild black hole in fourth-order theories of gravity. On the contrary of the stability of this black hole, it turns out that the linearized perturbations exhibit unstable modes featuring the…

General Relativity and Quantum Cosmology · Physics 2013-08-09 Yun Soo Myung

We study "minimal degree" complete bases of duality- and "horizontal"- invariant homogeneous polynomials in the flux representation of two-centered black hole solutions in two classes of D=4 Einstein supergravity models with symmetric…

High Energy Physics - Theory · Physics 2015-05-30 Sergio Ferrara , Alessio Marrani , Armen Yeranyan

Within the extremal black hole attractors arising in ungauged $\mathcal{N}\geqslant 2$-extended Maxwell Einstein supergravity theories in $3+1$ space-time dimensions, we provide an overview of the stratification of the electric-magnetic…

High Energy Physics - Theory · Physics 2023-12-21 Alessio Marrani

We derive the U-duality charge orbits, as well as the related moduli spaces, of "large" and "small" extremal black holes in non-maximal ungauged Maxwell-Einstein supergravities with symmetric scalar manifolds in d=5 space-time dimensions.…

High Energy Physics - Theory · Physics 2014-11-21 Bianca L. Cerchiai , Sergio Ferrara , Alessio Marrani , Bruno Zumino

In a previous paper we had proposed a specific route to relating the entropy of two charge black holes to the degeneracy of elementary string states in N=4 supersymmetric heterotic string theory in four dimensions. For toroidal…

High Energy Physics - Theory · Physics 2009-11-11 Ashoke Sen

We present string-theory derivation of the semiclassical entropy of extremal dyonic black holes in the approach based on conformal sigma model (NS-NS embedding of the classical solution). We demonstrate (resolving some puzzles existed in…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

We derive exact relations to all orders in the $\alpha'$ expansion for the charges of a bound system of heterotic strings, solitonic 5-branes and, optionally, a Kaluza-Klein monopole. The expressions, which differ from those of the…

High Energy Physics - Theory · Physics 2019-10-23 Federico Faedo , Pedro F. Ramirez

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

A class of four dimensional spherically symmetric and static geometries with constant topological Euler density is studied. These geometries are shown to solve the coupled Einstein-Maxwell system when non-linear Born-Infeld-like…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Pedro Bargueño , Elias C. Vagenas

We consider the effective theory of heterotic strings in two spacetime dimensions, in a double field theory-inspired formalism, manifestly consistent with $T$-duality in string theory. Restricting the gauge group to a single…

High Energy Physics - Theory · Physics 2026-05-19 Upamanyu Moitra

We present two-parameter solutions of the low-energy four-dimensional heterotic string which in the extremal limit reduce to supersymmetric monopole, string and domain wall solutions. The effective scalar coupling to the Maxwell field,…

High Energy Physics - Theory · Physics 2007-05-23 Ramzi R. Khuri

The absolute (moduli-independent) U-invariants of all N>2 extended supergravities at D=4 are derived in terms of (moduli-dependent) central and matter charges. These invariants give a general definition of the ``topological''…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , R. D'Auria , S. Ferrara