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We propose a non-associative phase space algebra for M-theory backgrounds with locally non-geometric fluxes based on the non-associative algebra of octonions. Our proposal is based on the observation that the non-associative algebra of the…

高能物理 - 理论 · 物理学 2017-02-03 Murat Gunaydin , Dieter Lust , Emanuel Malek

We explore the origins of non-geometric fluxes within the context of M theory described as a matrix model. Building upon compactifications of Matrix theory on non-commutative tori and twisted tori, we formulate the conditions which describe…

高能物理 - 理论 · 物理学 2015-06-05 Athanasios Chatzistavrakidis , Larisa Jonke

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

Non-geometry has been introduced when considering a new type of string backgrounds, for which stringy symmetries serve as transition functions between patches of the target space. Then, some terms in the potential of four-dimensional gauged…

高能物理 - 理论 · 物理学 2015-10-29 David Andriot

We synthesize and extend the previous ideas about appearance of both noncommutative and Finsler geometry in string theory with nonvanishing B--field and/or anholonomic (super) frame structures \cite{vstring,vstr2,vnonc,vncf}. There are…

高能物理 - 理论 · 物理学 2007-05-23 Sergiu I. Vacaru

In this paper we discuss non-commutative and non-associative geometries that emerge in the context of non-geometric closed string backgrounds. T-duality and doubled field theory plays an important role in formulating the corresponding…

高能物理 - 理论 · 物理学 2012-05-28 Dieter Lust

In these proceedings, we discuss non-commutativity in closed string theory. In analogy to the open-string sector, for closed strings we first motivate a cyclic double commutator to be evaluated for backgrounds with geometric or…

高能物理 - 理论 · 物理学 2012-04-13 Erik Plauschinn

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

Violating the strong constraint of double field theory, non-geometric fluxes were argued to give rise to noncommutative/nonassociative structures. We derive in a rather pedestrian physicist way a differential geometry on the simplest…

高能物理 - 理论 · 物理学 2016-08-03 Ralph Blumenhagen , Michael Fuchs

This review provides an introduction to non-geometric backgrounds in string theory. Starting from a discussion of T-duality, geometric and non-geometric torus-fibrations are reviewed, generalised geometry and its relation to non-geometric…

高能物理 - 理论 · 物理学 2019-04-17 Erik Plauschinn

Using F-theory/heterotic duality, we describe a framework for analyzing non-geometric T2-fibered heterotic compactifications to six- and four-dimensions. Our results suggest that among T2-fibered heterotic string vacua, the non-geometric…

高能物理 - 理论 · 物理学 2010-10-29 Jock McOrist , David R. Morrison , Savdeep Sethi

We give a basic review of some recent developments in local supersymmetry breaking in 4-dimensional effective theories coming from compactifications of string and M-theory in the presence of non-trivial form and geometrical fluxes.

高能物理 - 理论 · 物理学 2017-08-23 Gianguido Dall'Agata , Sergio Ferrara

We have shown that a particular class of non-local free field theory has conformal symmetry in arbitrary dimensions. Using the local field theory counterpart of this class, we have found the Noether currents and Ward identities of the…

高能物理 - 理论 · 物理学 2015-05-27 M. A. Rajabpour

We systematically develop the metric aspects of nonassociative differential geometry tailored to the parabolic phase space model of constant locally non-geometric closed string vacua, and use it to construct preliminary steps towards a…

高能物理 - 理论 · 物理学 2018-04-04 Paolo Aschieri , Marija Dimitrijevic Ciric , Richard J. Szabo

We discuss the relation between generalised fluxes and mixed-symmetry potentials. We first consider the NS fluxes, and point out that the `non-geometric' $R$ flux is dual to a mixed-symmetry potential with a set of nine antisymmetric…

高能物理 - 理论 · 物理学 2015-09-01 E. A. Bergshoeff , V. A. Penas , F. Riccioni , S. Risoli

We examine the flux structures defined by NS-NS superpotentials of Type IIA and Type IIB string theories compactified on a particular class of internal spaces which include non-geometric flux contributions due to T duality or mirror…

高能物理 - 理论 · 物理学 2010-03-02 George James Weatherill

In this paper we propose ten-dimensional realizations of the non-geometric fluxes Q and R. In particular, they appear in the NSNS Lagrangian after performing a field redefinition that takes the form of a T-duality transformation. Double…

高能物理 - 理论 · 物理学 2015-06-04 David Andriot , Olaf Hohm , Magdalena Larfors , Dieter Lust , Peter Patalong

Symmetry transformations of the space-time fields of string theory are generated by certain similarity transformations of the stress-tensor of the associated conformal field theories. This observation is complicated by the fact that, as we…

高能物理 - 理论 · 物理学 2011-07-19 Mark Evans , Ioannis Giannakis , D. V. Nanopoulos

We consider a class of (orbifolds of) M-theory compactifications on $S^{d} \times T^{7-d}$ with gauge fluxes yielding minimally supersymmetric STU-models in 4D. We present a group-theoretical derivation of the corresponding flux-induced…

高能物理 - 理论 · 物理学 2015-05-20 Ulf Danielsson , Giuseppe Dibitetto

Dual superconformal invariance has recently emerged as a hidden symmetry of planar scattering amplitudes in N=4 super Yang-Mills theory. This symmetry can be made manifest by expressing amplitudes in terms of `momentum twistors', as opposed…

高能物理 - 理论 · 物理学 2009-11-18 Lionel Mason , David Skinner
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