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Tensor hierarchy of Exceptional Field Theories contains gauge fields satisfying certain Bianchi identities with source part governing interaction with standard and exotic branes. These are responsible for tadpole cancellation in…

高能物理 - 理论 · 物理学 2019-10-02 Edvard T. Musaev

Starting from a higher Courant bracket associated to exceptional generalized geometry, we provide a systematic derivation of all types of fluxes and their Bianchi identities for four-dimensional compactifications of M-theory. We show that…

高能物理 - 理论 · 物理学 2019-06-05 Athanasios Chatzistavrakidis , Larisa Jonke , Dieter Lust , Richard J. Szabo

In this work the exceptional field theory formulation of supergravity with SL(5) gauge group is considered. This group appears as a U-duality group of $D=7$ maximal supergravity. In the formalism presented the hidden global duality group is…

高能物理 - 理论 · 物理学 2016-03-23 Edvard T. Musaev

We construct the scalar potential for the exceptional field theory based on the affine symmetry group E$_9$. The fields appearing in this potential live formally on an infinite-dimensional extended spacetime and transform under E$_9$…

高能物理 - 理论 · 物理学 2019-03-27 Guillaume Bossard , Franz Ciceri , Gianluca Inverso , Axel Kleinschmidt , Henning Samtleben

The Bianchi identities for bosonic fluxes in supergravity can receive higher derivative quantum and string corrections, the most well known being that of Heterotic theory $d H = \tfrac{1}{4}\alpha'(\text{tr } F^2 - \text{tr } R^2)$. Less…

高能物理 - 理论 · 物理学 2019-11-06 André Coimbra

We study how exotic branes, i.e. branes whose tensions are proportional to $g_s^{-\alpha}$, with $\alpha>2$, are realised in Exceptional Field Theory (EFT). The generalised torsion of the Weitzenb\"ock connection of the…

高能物理 - 理论 · 物理学 2018-08-14 Ilya Bakhmatov , David Berman , Axel Kleinschmidt , Edvard Musaev , Ray Otsuki

We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying…

高能物理 - 理论 · 物理学 2015-02-23 Gerardo Aldazabal , Mariana Graña , Diego Marqués , José A. Rosabal

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…

高能物理 - 理论 · 物理学 2015-04-08 Edvard T. Musaev

We formulate the full bosonic SL(5) exceptional field theory in a coordinate-invariant manner. Thereby we interpret the 10-dimensional extended space as a manifold with $\mathrm{SL}(5)\times\mathbb{R}^+$-structure. We show that the algebra…

高能物理 - 理论 · 物理学 2017-04-05 Pascal du Bosque , Falk Hassler , Dieter Lust , Emanuel Malek

Exceptional field theories are the manifestly duality covariant formulations of the target space theories of string/M-theory in the low-energy limit (supergravity) or for certain truncations. These theories feature a rich system of…

高能物理 - 理论 · 物理学 2019-06-19 Olaf Hohm , Henning Samtleben

We show how the gauge and field structure of the tensor hierarchies in Double and $E_{7(7)}$ Exceptional Field Theory fits into $L_\infty$ algebras. Special attention is paid to redefinitions, the role of covariantly constrained fields and…

高能物理 - 理论 · 物理学 2019-02-07 Yago Cagnacci , Tomas Codina , Diego Marques

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…

高能物理 - 理论 · 物理学 2019-01-30 Daniel Butter , Henning Samtleben , Ergin Sezgin

We construct exceptional field theory for the duality group SL(3)$\times$SL(2). The theory is defined on a space with 8 `external' coordinates and 6 `internal' coordinates in the $(3,2)$ fundamental representation, leading to a…

高能物理 - 理论 · 物理学 2015-06-23 Olaf Hohm , Yi-Nan Wang

We use a geometric approach to construct a flux formulation for the SL(5) U-duality manifest exceptional field theory. The resulting formalism is well-suited for studying gauged supergravities with geometric and non-geometric fluxes. Here…

高能物理 - 理论 · 物理学 2015-12-11 Chris D. A. Blair , Emanuel Malek

Exceptional theories are a group of one-parameter scalar field theories with (enhanced) vanishing soft limits in the S-matrix elements. They include the nonlinear sigma model (NLSM), Dirac-Born-Infeld scalars and the special Galileon…

高能物理 - 理论 · 物理学 2019-05-01 Zhewei Yin

Using the superembedding approach, the full supersymmetric effective field theory of the D9-brane, super Born-Infeld theory, is fixed by the so called $\mathcal{F}$-constraint. The odd-odd components of the theory's super field strength,…

高能物理 - 理论 · 物理学 2009-11-07 Sven F. Kerstan

Fields in supersymmetric gauge theories may be seen as elements in a spinorial cohomology. We elaborate on this subject, specialising to maximally supersymmetric theories, where the superspace Bianchi identities, after suitable conventional…

高能物理 - 理论 · 物理学 2009-11-07 Martin Cederwall , Bengt E. W. Nilsson , Dimitrios Tsimpis

We study the tensor gauge fields ("notophs") of ungauged N=8 D=4 supergravity in superspace. These are described by 2-form potentials in the adjoint representation of G=E(7(+7)). The consistency of the natural candidates for the superspace…

高能物理 - 理论 · 物理学 2015-06-08 Igor Bandos , Tomas Ortın

Five dimensional field theories with exceptional gauge groups are engineered from degenerations of Calabi-Yau threefolds. The structure of the Coulomb branch is analyzed in terms of relative K\"ahler cones. For low number of flavors, the…

高能物理 - 理论 · 物理学 2009-10-31 Duiliu-Emanuel Diaconescu , Rami Entin

We present a flux formulation of Double Field Theory, in which geometric and non-geometric fluxes are dynamical and field-dependent. Gauge consistency imposes a set of quadratic constraints on the dynamical fluxes, which can be solved by…

高能物理 - 理论 · 物理学 2015-06-15 David Geissbuhler , Diego Marques , Carmen Nunez , Victor Penas
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