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The well known N=2 string theory describes self-dual gravity, as was shown by Ooguri and Vafa sometime ago. In search of a variant of this theory which would describe self-dual supergravity in 2+2 dimensions, we have constructed two new N=2…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin

An explicit one-parameter Lie point symmetry of the four-dimensional vacuum Einstein equations with two commuting hypersurface-orthogonal Killing vector fields is presented. The parameter takes values over all of the real line and the…

General Relativity and Quantum Cosmology · Physics 2015-10-07 M. M. Akbar , M. A. H. MacCallum

We construct a class of Einstein-vector theories where the vector field couples bilinearly to the curvature polynomials of arbitrary order in such a way that only Riemann tensor rather than its derivative enters the equations of motion. The…

High Energy Physics - Theory · Physics 2016-02-17 Wei-Jian Geng , H. Lu

I investigate two discrete models of random geometries, namely simplicial quantum gravity and quantum string theory. In four-dimensional simplicial quantum gravity, I show that the addition of matter gauge fields to the model is capable of…

High Energy Physics - Lattice · Physics 2007-05-23 Joachim Tabaczek

We find solutions of Einstein's field equation for topologically stable strings associated with the breaking of a U(1) symmetry. Strings form in many GUTs and are expected whenever the homotopy group $\Pi_1(M_0)$ is non-trivial. The…

Astrophysics · Physics 2009-10-22 Charles C. Dyer , Francine R. Marleau

Motivated by the Extremal Vanishing Horizon (EVH) black holes, their near horizon geometry and the EVH/CFT proposal, we construct and classify solutions with (local) SO(2,2) symmetry to four and five dimensional Einstein-Maxwell-Dilaton…

High Energy Physics - Theory · Physics 2015-06-22 S. Sadeghian , M. M. Sheikh-Jabbari , H. Yavartanoo

We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under…

High Energy Physics - Theory · Physics 2017-11-22 Corinne de Lacroix , Harold Erbin , Sitender Pratap Kashyap , Ashoke Sen , Mritunjay Verma

Considering a five-dimensional (5D) Riemannian spacetime with a particular stationary Ricci-flat metric, we obtain in the framework of the induced matter theory an effective 4D static and spherically symmetric metric which give us ordinary…

General Relativity and Quantum Cosmology · Physics 2009-09-28 Jose Edgar Madriz Aguilar , Mauricio Bellini

We study some symmetry and integrability properties of four-dimensional Einstein-Maxwell gravity with nonvanishing cosmological constant in the presence of Killing vectors. First of all, we consider stationary spacetimes, which lead, after…

High Energy Physics - Theory · Physics 2015-10-07 Dietmar Klemm , Masato Nozawa , Marco Rabbiosi

General $\mathcal{N}=(1,0)$ supergravity-matter systems in six dimensions may be described using one of the two fully fledged superspace formulations for conformal supergravity: (i) $\mathsf{SU}(2)$ superspace; and (ii) conformal…

High Energy Physics - Theory · Physics 2021-04-07 Sergei M. Kuzenko , Ulf Lindström , Emmanouil S. N. Raptakis , Gabriele Tartaglino-Mazzucchelli

We present decomposable (5,6)-solutions $\widetilde{M}^{1,4} \times M^6$ in eleven-dimensional supergravity by solving the bosonic supergravity equations for a variety of non-trivial flux forms. Many of the bosonic backgrounds presented…

Differential Geometry · Mathematics 2023-12-27 Hanci Chi , Ioannis Chrysikos , Eivind Schneider

A topological version of four-dimensional (Euclidean) Einstein gravity which we propose regards anti-self-dual 2-forms and an anti-self-dual part of the frame connections as fundamental fields. The theory describes the moduli spaces of…

High Energy Physics - Theory · Physics 2011-09-09 Mitsuko Abe , A. Nakamichi , T. Ueno

We consider superstring theories on pp-wave backgrounds which result in an integrable ${\cal N}=(2,2)$ supersymmetric Landau-Ginzburg theory on the worldsheet. We obtain exact eigenvalues of the light-cone gauge superstring hamiltonian in…

High Energy Physics - Theory · Physics 2010-12-03 Alin Tirziu , Paul Fendley

Gravity duals for little string theories --- which give rise to four-dimensional theories that undergo permanent confinement in the infrared --- have not been studied in great detail. We address this question in the framework of heterotic…

High Energy Physics - Theory · Physics 2013-09-11 Fang Chen , Keshav Dasgupta , Joshua M. Lapan , Jihye Seo , Radu Tatar

We classify symmetric backgrounds of eleven-dimensional supergravity up to local isometry. In other words, we classify triples (M,g,F), where (M,g) is an eleven-dimensional lorentzian locally symmetric space and F is an invariant 4-form,…

High Energy Physics - Theory · Physics 2015-06-03 José Figueroa-O'Farrill

The formulation of General Relativity in which the 4-dimensional space-time is embedded in a flat host space of higher dimension is reconsidered. New classes of embeddings (modeled after Nash's classical free embeddings) are introduced.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Miguel D. Bustamante , Fabrice Debbasch , Marc-Etienne Brachet

We construct new seven-dimensional gravity by adding two topological terms to the Einstein-Hilbert action. For certain choice of the coupling constants, these terms may be related to the R^4 correction to the 3-form field equation of…

High Energy Physics - Theory · Physics 2010-05-12 H. Lu , Yi Pang

A bosonic sector of the four-dimensional low-energy heterotic string theory with two Abelian gauge fields is considered in the stationary case. A new 4X4 unitary null-curvature matrix representation of the theory is derived and the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Oleg V. Kechkin

We consider gauged Wess-Zumino models based on the non compact group $SU(2,1)$. It is shown that by vector gauging the maximal compact subgroup $U(2)$ the resulting backgrounds obey the gravity-dilaton one loop string vacuum equations of…

High Energy Physics - Theory · Physics 2009-10-28 Adriá n R. Lugo

We present a new application of Boundary String Field Theory: calculating the induced-gravity action on a D-brane. Using a simple quadratic tachyon potential to model a D-brane fluctuating in the flat target space we derive the effective…

High Energy Physics - Theory · Physics 2008-11-26 Yeuk-Kwan E. Cheung , Mark Laidlaw , Konstantin Savvidy
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