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We first derive a class of six-dimensional (1,0) gauged supergravities arising from threefold compactifications of F-theory with background fluxes. The derivation proceeds via the M-theory dual reduction on an SU(3)-structure manifold with…

High Energy Physics - Theory · Physics 2015-06-15 Thomas W. Grimm , Tom G. Pugh

We present mechanisms for generating conical singularities both in three and four-dimensions in the systems with copies of scalar or chiral multiplets coupled to $N=2$ or $N=1$ supergravity. Our mechanisms are useful for supersymmetry…

High Energy Physics - Theory · Physics 2009-10-28 Hitoshi Nishino

We introduce a geometric realization of noncommutative singularity resolutions. To do this, we first present a new conjectural method of obtaining conventional resolutions using coordinate rings of matrix-valued functions. We verify this…

Algebraic Geometry · Mathematics 2011-03-01 Charlie Beil

In a class of generalized Einstein's gravity theories we derive the equations and general asymptotic solutions describing the evolution of the perturbed universe in unified forms. Our gravity theory considers general couplings between the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. Hwang

The infinite group of deformed diffeomorphisms of the spacetime continuum is put into the basis of the gauge theory of gravity. This gives rise to some new ways for unification of gravity with other gauge interactions.

General Relativity and Quantum Cosmology · Physics 2018-03-07 S. E. Samokhvalov , V. S. Vanyashin

We study graph-directed conjugate functional equations on the unit interval indexed by the complete digraph with self-loops on two vertices. We focus on the singularity and regularity of the solutions for compatible systems of weak…

Dynamical Systems · Mathematics 2026-03-25 Kazuki Okamura

We geometrize six-dimensional pure $\mathcal{N}=1$ Supergravity by means of an exact Courant algebroid, whose Severa class is defined through the Supergravity three-form $H$, equipped with a generalized metric and a compatible,…

High Energy Physics - Theory · Physics 2015-06-10 M. Garcia-Fernandez , C. S. Shahbazi

The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational…

High Energy Physics - Theory · Physics 2025-11-18 Gregory Patellis , Danai Roumelioti , Stelios Stefas , George Zoupanos

A classification of the maximally extended solutions for 1+1 gravity models (comprising e.g. generalized dilaton gravity as well as models with non-trivial torsion) is presented. No restrictions are placed on the topology of the arising…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Kloesch , T. Strobl

We provide, through the framework of extended geometry, a geometrisation of the duality symmetries appearing in magical supergravities. A new ingredient is the general formulation of extended geometry with structure group of non-split real…

High Energy Physics - Theory · Physics 2023-06-07 Guillaume Bossard , Martin Cederwall , Axel Kleinschmidt , Jakob Palmkvist , Ergin Sezgin , Linus Sundberg

A brief description of the supersymmetric and duality covariant approach to supergravity is presented. The formalism is based on exceptional geometric structures and turns the hidden U-duality group into a manifest gauge symmetry. Tensor…

High Energy Physics - Theory · Physics 2015-04-08 Edvard T. Musaev

We study a four-dimensional effective theory of the five-dimensional (5D) gauged supergravity with a universal hypermultiplet and perturbative superpotential terms at the orbifold fixed points. Among eight independent isometries of the…

High Energy Physics - Theory · Physics 2008-11-26 Hiroyuki Abe , Yutaka Sakamura

We consider a natural generalization of trinification to theories with 3N SU(3) gauge groups. These theories have a simple moose representation and a gauge boson spectrum that can be interpreted via the deconstruction of a 5D theory with…

High Energy Physics - Phenomenology · Physics 2009-11-11 Christopher D. Carone

We explore the consequences of requiring that quantum theories of gravity be unitary, mostly focusing on simple cosmological models to illustrate the main points. We show that unitarity for a clock that encounters a classical singularity at…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Steffen Gielen , Lucía Menéndez-Pidal

We make it precise what it means to have a connection with torsion as solution of the Einstein equations. While locally the theory remains the same, the new formulation allows for topologies that would have been excluded in the standard…

High Energy Physics - Theory · Physics 2011-08-02 M. A. Lledo , L. Sommovigo

We extend to larger unification groups an earlier study exploring the possibility of unification of gauge symmetries in theories with dynamical symmetry breaking. Based on our results, we comment on the outlook for models that seek to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ning Chen , Robert Shrock

We construct generalized 11D supergravity solutions of fully localized intersecting D2/D4 brane systems. These solutions are obtained by embedding six-dimensional resolved Eguchi-Hanson conifolds lifted to M-theory. We reduce these…

High Energy Physics - Theory · Physics 2008-11-26 A. M. Ghezelbash

We study compactified pure gauge/gravitational theories with gauge-fixing terms and show that these theories possess quantum mechanical SUSY-like symmetries between unphysical degrees of freedom. These residual symmetries are global…

High Energy Physics - Theory · Physics 2008-11-26 C. S. Lim , Tomoaki Nagasawa , Satoshi Ohya , Kazuki Sakamoto , Makoto Sakamoto

We built the first eleven-dimensional supergravity solutions with SO(2,4)xSO(3)xU(1)_R symmetry that exhibit the asymptotic emergence of an extra U(1) isometry. This enables us to make the connection with the usual electrostatics-quiver…

High Energy Physics - Theory · Physics 2014-09-16 P. Marios Petropoulos , Konstadinos Sfetsos , Konstadinos Siampos

A class of conformally flat and asymptotically anti-de Sitter geometries involving profiles of scalar fields is studied from the point of view of gauged supergravity. The scalars involved in the solutions parameterise the SL(N,R)/SO(N)…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , S. S. Gubser , H. Lu , C. N. Pope