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A set of consistency conditions is derived for the massless sector of the D-dimensional E(8)xE(8) heterotic string. Under the solvable Lie algebra gauge these conditions are further formulated explicitly in terms of the dilatons and the…

High Energy Physics - Theory · Physics 2007-05-23 Nejat Tevfik Yilmaz

We construct five different two-parameter massive deformations of the unique nine-dimensional N=2 supergravity. All of these deformations have a higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged supergravities.…

High Energy Physics - Theory · Physics 2009-11-07 E. Bergshoeff , T. de Wit , U. Gran , R. Linares , D. Roest

We present a systematic construction of F-theory compactifications with Abelian gauge symmetries in addition to a non-Abelian gauge group G. The formalism is generally applicable to models in global Tate form but we focus on the…

High Energy Physics - Theory · Physics 2013-08-02 Christoph Mayrhofer , Eran Palti , Timo Weigand

We briefly review why the non-linear realisation of the semi-direct product of a group with one of its representations leads to a field theory defined on a generalised space-time equipped with a generalised vielbein. We give formulae, which…

High Energy Physics - Theory · Physics 2015-06-19 Alexander G. Tumanov , Peter West

We consider supersymmetric deformations of gauge theories in various dimensions obtained from a String Theory realisation of branes embedded in flux backgrounds. In particular we obtain deformations which take the form of Wilson line…

High Energy Physics - Theory · Physics 2018-08-01 Neil Lambert , Domenico Orlando , Susanne Reffert , Yuta Sekiguchi

It is the aim of this paper to transfer to generalised geometry tools employed in the study of semi-Riemannian immersions, specializing at times to semi-Riemannian hypersurfaces. Given an exact Courant algebroid $E \to M$ and an immersion…

Differential Geometry · Mathematics 2025-07-17 Vicente Cortés , Oskar Schiller

We give a new, connected-sum-like construction of Riemannian metrics with special holonomy G_2 on compact 7-manifolds. The construction is based on a gluing theorem for appropriate elliptic partial differential equations. As a prerequisite,…

Differential Geometry · Mathematics 2007-05-23 Alexei Kovalev

Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and N=8 supersymmetry. The gauge theories are defined by a Lagrangian and are based on an infinite set of 3-algebras, constructed as…

High Energy Physics - Theory · Physics 2009-02-02 Sergio Benvenuti , Diego Rodriguez-Gomez , Erik Tonni , Herman Verlinde

The various nesting and pairing instabilities of the generalized Van Hove scenario can be classified via an SO(8) spectrum-generating algebra. An SO(6) subgroup is an approximate symmetry group of the model, having two 6-dimensional…

Superconductivity · Physics 2007-05-23 R. S. Markiewicz , M. T. Vaughn

We present the supersymmetric extension of the recently constructed E$_{8(8)}$ exceptional field theory -- the manifestly U-duality covariant formulation of the untruncated ten- and eleven-dimensional supergravities. This theory is…

High Energy Physics - Theory · Physics 2016-11-03 Arnaud Baguet , Henning Samtleben

Within the 4-dimensional conformal algebra, the presence of two translation operators implies the existence of 3 distinct metrics of definite Weyl weight constructible from the translational gauge fields. If we demand that each of these…

High Energy Physics - Theory · Physics 2008-02-06 James T. Wheeler

The prolongation structure of a two-by-two problem is formulated very generally in terms of exterior differential forms on a standard representation of Pauli matrices. The differential system is general without making reference to any…

Mathematical Physics · Physics 2014-06-12 Paul Bracken

A new family of $D=4$ $\mathcal{N}=8$ gauged supergravities is introduced, consisting in a mixture of Scherk-Schwarz and dyonic CSO gaugings that involves the trombone scaling symmetry. A specific theory in this class is shown to admit…

High Energy Physics - Theory · Physics 2026-04-16 Martin Pico , Oscar Varela

We analyze gauge symmetry enhancements $SO(16)\to E_8$ on eight D7-branes and $SO(14)\times U(1)\to E_8$ on seven D7-branes from open strings. String configurations which we present in this paper are closely related to the ones given by…

High Energy Physics - Theory · Physics 2016-08-25 Yosuke Imamura

We study the properties of section conditions of the E7(7) exceptional field theory from the perspective of superparticle model in N=8 D=4 superspace enlarged by additional bosonic coordinates related to the central charge of the maximal…

High Energy Physics - Theory · Physics 2016-02-17 Igor Bandos

The exceptional holonomy groups are G2 in 7 dimensions, and Spin(7) in 8 dimensions. Riemannian manifolds with these holonomy groups are Ricci-flat. This is a survey paper on exceptional holonomy, in two parts. Part I introduces the…

Differential Geometry · Mathematics 2007-05-23 Dominic Joyce

We present a new formulation of curved projective superspace. The 4D N=2 supermanifold M^{4|8} (four bosonic and eight Grassmann coordinates) is extended by an auxiliary SU(2) manifold, which involves introducing a vielbein and related…

High Energy Physics - Theory · Physics 2015-10-14 Daniel Butter

This thesis firstly investigates whether D=11 supergravity can be lifted to a higher dimensional theory without introducing additional bosonic fields by interpreting the E(7(7))-symmetry of N=8 d=4 supergravity as part of a coordinate…

High Energy Physics - Theory · Physics 2009-02-10 Christian Hillmann

In this review articel we study the gaugings of extended supergravity theories in various space-time dimensions. These theories describe the low-energy limit of non-trivial string compactifications. For each theory under consideration we…

High Energy Physics - Theory · Physics 2008-11-26 Martin Weidner

Locally supersymmetric systems in odd dimensions whose Lagrangians are Chern-Simons forms for supersymmetric extensions of anti-de Sitter gravity are discussed. The construction is illustrated for D=7 and 11. In seven dimensions the theory…

High Energy Physics - Theory · Physics 2009-12-30 Ricardo Troncoso , Jorge Zanelli
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