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We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on…

High Energy Physics - Theory · Physics 2021-07-14 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

Superspace is considered as space of parameters of the supercoherent states defining the basis for oscillator-like unitary irreducible representations of the generalized superconformal group SU(2m,2n/2N) in the field of quaternions H. The…

High Energy Physics - Theory · Physics 2016-06-06 Diego Julio Cirilo-Lombardo , Victor N. Pervushin

Supersymmetric models with extended group structure beyond the standard model are revisited in the framework of general gauge mediation. Sum rules for sfermion masses are shown to depend genuinely on the group structure, which can serve as…

High Energy Physics - Phenomenology · Physics 2015-02-12 Mingxing Luo , Sibo Zheng

We consider generalized diffeomorphisms on an extended mega-space associated to the U-duality group of gauged maximal supergravity in four dimensions, E_7. Through the bein for the extended metric we derive dynamical (field-dependent)…

High Energy Physics - Theory · Physics 2015-06-15 G. Aldazabal , M. Graña , D. Marqués , J. A. Rosabal

In this letter, we reconsider the delicate issue of symmetry and supersymmetry breakings for gauge theories with gauge-field mixings. The purpose is to study generalyzed potentials in the presence of more than a single gauge potential. In…

High Energy Physics - Theory · Physics 2007-05-23 Cristine N. Ferreira , Helder Chavez , Jose A. Helayel-Neto

We study the general gaugings of N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories are of the form SU(2)_R X G, where SU(2)_R is the…

High Energy Physics - Theory · Physics 2011-02-09 Murat Gunaydin , Marco Zagermann

We define the notion of Y-algebroids, generalising the Lie, Courant, and exceptional algebroids that have been used to capture the local symmetry structure of type II string theory and M-theory compactifications to $D \geq 5$ dimensions.…

High Energy Physics - Theory · Physics 2024-12-02 Ondrej Hulik , Emanuel Malek , Fridrich Valach , Daniel Waldram

Special generic maps are higher dimensional versions of Morse functions with exactly two singular points, characterizing spheres topologically except 4-dimensional cases and 4-dimensional standard spheres. The class of such maps also…

Algebraic Topology · Mathematics 2022-07-15 Naoki Kitazawa

It is shown that four-dimensional generalized symmetric spaces can be naturally equipped with some additional structures defined by means of their curvature operators. As an application, those structures are used to characterize generalized…

Differential Geometry · Mathematics 2013-08-30 E. Calviño-Louzao , E. García-Río , M. E. Vázquez-Abal , R. Vázquez-Lorenzo

We study a generalization of higher gauge theory which makes use of generalized geometry and seems to be closely related to double field theory. The local kinematical data of this theory is captured by morphisms of graded manifolds between…

High Energy Physics - Theory · Physics 2016-04-13 Patricia Ritter , Christian Saemann , Lennart Schmidt

We study the global geometry of a general class of spacetimes of relevance to the supersymmetric $AdS_3/CFT_2$ correspondence in eleven-dimensional supergravity. Specifically, we study spacetimes admitting a globally-defined…

High Energy Physics - Theory · Physics 2008-11-26 Pau Figueras , Oisin A. P. Mac Conamhna , Eoin O Colgain

In seven dimensions any spin manifold admits an SU(2) structure and therefore very general M-theory compactifications have the potential to allow for a reduction to N=4 gauged supergravity. We perform this general SU(2) reduction and give…

High Energy Physics - Theory · Physics 2015-11-05 Hagen Triendl

In the context of generalised geometry we investigate reductions to $SU(m)\times SU(m)$ together with an integrability condition which in dimension 6 describes the geometry of type II supergravity compactifications.

Differential Geometry · Mathematics 2015-06-26 Claus Jeschek , Frederik Witt

Explicit supersymmetry breaking is studied in higher dimensional theories by having boundaries respect only a subgroup of the bulk symmetry. If the boundary symmetry is the maximal subgroup allowed by the boundary conditions imposed on the…

High Energy Physics - Theory · Physics 2009-09-29 Lawrence J. Hall , Yasunori Nomura , Takemichi Okui , Steven J. Oliver

In the framework of started in Ref.[1] construction procedure of the general superfield quantization method for gauge theories in Lagrangian formalism the rules for Hamiltonian formulation of general superfield theory of fields (GSTF) are…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Reshetnyak

We use exceptional field theory as a tool to work out the full non-linear reduction ansaetze for the AdS$_5\times S^5$ compactification of IIB supergravity and its non-compact counterparts in which the sphere $S^5$ is replaced by the…

High Energy Physics - Theory · Physics 2015-09-16 Arnaud Baguet , Olaf Hohm , Henning Samtleben

We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in ring-like regions. As expected from general QFT…

High Energy Physics - Theory · Physics 2022-05-25 Valentin Benedetti , Horacio Casini , Javier M. Magan

We formulate the locally supersymmetric E$_{7(7)}$ exceptional field theory in a $(4+56|32)$ dimensional superspace, corresponding to a 4D $N\!=\!8$ "external" superspace augmented with an "internal" 56-dimensional space. This entails the…

High Energy Physics - Theory · Physics 2019-01-30 Daniel Butter , Henning Samtleben , Ergin Sezgin

This review is devoted to some aspects of non-linear Supersymmetry in four dimensions that can be efficiently described via nilpotent superfields, in both rigid and curved Superspace. Our focus is mainly on the partial breaking of rigid…

High Energy Physics - Theory · Physics 2015-07-23 S. Ferrara , A. Sagnotti

We begin an investigation of supersymmetric theories based on exceptional groups. The flat directions are most easily parameterized using their correspondence with gauge invariant polynomials. Symmetries and holomorphy tightly constrain the…

High Energy Physics - Theory · Physics 2016-08-24 Steven B. Giddings , John M. Pierre