A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Compact gravity models yield tiny spin-two field masses.
Gravity derived from thermodynamics via optimal transport.
The Planck mass can be derived from gravitational potential behavior in compactifications.
The stability of physical systems depends on the existence of a state of least energy. In gravity, this is guaranteed by the positive energy theorem. For topological reasons this fails for nonsupersymmetric Kaluza-Klein compactifications, which can decay to arbitrarily negative energy. For related reasons, this also fa…
Introduces a new relation between BF theory and gravity.
PhD dissertation on Finsler geometry and gravity, focusing on Berwald spaces and exact solutions.
We present new classes of exact solutions with noncommutative symmetries constructed in vacuum Einstein gravity (in general, with nonzero cosmological constant), five dimensional (5D) gravity and (anti) de Sitter gauge gravity. Such solutions are generated by anholonomic frame transforms and parametrized by generic off…
A relation between gravity on Poisson manifolds proposed in arXiv:1508.05706 and Einstein gravity is investigated. The compatibility of the Poisson and Riemann structures defines a unique connection, the contravariant Levi-Civita connection, and leads to the idea of the contravariant gravity. The Einstein-Hilbert-type …
A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal algebra of diffeomorphisms. Considering the corresponding Hopf algebra we find that the defo…
We argue that Horava-Lifshitz (HL) gravity provides the minimal holographic dual for Lifshitz-type field theories with anisotropic scaling and dynamical exponent z. First we show that Lifshitz spacetimes are vacuum solutions of HL gravity, without need for additional matter. Then we perform holographic renormalization …
We use conformal, but ghostful, Weyl gravity to study its ghost-free, second derivative, partially massless (PM) spin 2 component in presence of Einstein gravity with positive cosmological constant. Specifically, we consider both gravitational- and self- interactions of PM via the fully non-linear factorization of conf…
A theory of gravitation is proposed, modeled after the notion of a Ricci flow. In addition to the metric an independent volume enters as a fundamental geometric structure. Einstein gravity is included as a limiting case. Despite being a scalar-tensor theory the coupling to matter is different from Jordan-Brans-Dicke gr…
We simplify and extend a 6D conformal gravity theory to 8D, linking it to Q-curvature.
Analyzing static solutions in Finsler gravity, extending known results.
Identifies null hypersurfaces with constant surface gravity.
We construct a triangulation of a compactification of the Moduli space of a surface with at least one puncture that is closely related to the Deligne-Mumford compactification. Specifically, there is a surjective map from the compactification we construct to the Deligne-Mumford compactification so that the inverse image…
M-theory compactified on -holonomy manifolds results in 4d supersymmetric gauge theories coupled to gravity. In this paper we focus on the gauge sector of such compactifications by studying the Higgs bundle obtained from a partially twisted 7d super Yang-Mills theory on a supersymmetric three-cycle…
Explains non-lorentzian theories and their dynamics.
HR in 8D encodes unique conformal gravity with negative curvature.
Special issue honors Stanley Deser, focusing on advanced physics topics.
Prominent approaches to quantum gravity struggle when it comes to incorporating a positive cosmological constant in their models. Using quantization of a complex Chern-Simons theory we include a cosmological constant, of either sign, into a model of quantum gravity.
Study Codazzi tensors in space-times, linking to Cotton gravity.
We developed a perturbation model for affine gravity theories.
Extends harmonic maps compactification to punctured Riemann surfaces.
The study characterizes spacetimes with specific solitons in -gravity.
The -th Gauss-Bonnet curvature is a generalization to higher dimensions of the -dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for . The Gauss-Bonnet curvatures are used in theoretical physics to describe gravity in higher dimensional space times where they are known a…
Paper relates new compactification to classical moduli space.
The paper explores generalizations of Mirzakhani's recursion and computes volumes for physical gravity models.
We consider horofunction compactifications of symmetric spaces with respect to invariant Finsler metrics. We show that any (generalized) Satake compactification can be realized as a horofunction compactification with respect to a polyhedral Finsler metric.
Existence of Kähler-Einstein metrics on compactifications of Lie groups.
The horoboundary of Teichmüller space is path connected and has non-dense Busemann points.
We show that 3D gravity, in its pure connection formulation, admits a natural 6D interpretation. The 3D field equations for the connection are equivalent to 6D Hitchin equations for the Chern-Simons 3-form in the total space of the principal bundle over the 3-dimensional base. Turning this construction around one gets …
CNN outperforms other methods in gravity inversion.
Characterizes toroidal and semi-toric compactifications as log minimal models and applies to weak K-moduli.
Study of Randers spacetimes and their Finsler gravity solutions.
Satake has constructed compactifications of symmetric spaces D=G/K which (under a condition called geometric rationality by Casselman) yield compactifications of the corresponding locally symmetric spaces. The different compactifications depend on the choice of a representation of G. One example is the Baily-Borel-Sata…
Theory for gravity coupled with fields on manifolds with null-boundary.
New models predict mobility flows as well as complex machine learning but are simpler and interpretable.
We show that holographic renormalization of relativistic gravity in asymptotically Lifshitz spacetimes naturally reproduces the structure of gravity with anisotropic scaling: The holographic counterterms induced near anisotropic infinity take the form of the action for gravity at a Lifshitz point, with the appropriate …
The paper studies compactifications of SL(2,C) character varieties for punctured surfaces.
Sharp eigenvalue bounds on metric measure spaces extend Cheng's theorem.
Holomorphic supergravity theory simplifies anomaly cancellation in heterotic moduli.
New coordinates for Teichmüller space compactification.
Compactifies semi-simple Lie groups to manifolds with corners.
New compactification for character varieties with good topological properties.
Embeds Higson compactification into adelic solenoids.
We define a compactification of symmetric spaces of noncompact type, seen as spaces of isometry classes of marked lattices, analogous to the Thurston compactification of the Teichmüller space, and we show that it is equivariantly isomorphic to a Satake compactification. We then use it to define a new compactification o…
We show that the horofunction compactification of Teichmüller space with the Teichmüller metric is homeomorphic to the Gardiner-Masur compactification.