Fluxes in exceptional field theory and threebrane sigma-models

Chatzistavrakidis, Athanasios; Jonke, Larisa; Lüst, Dieter; Szabo, Richard J.

doi:10.1007/jhep05(2019)055

Cited by 16 publications

(17 citation statements)

References 111 publications

(254 reference statements)

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“…Employing the AKSZ construction, the authors constructed examples of four-dimensional topological field theories. In a similar spirit, yet another example of this kind was found in [33] with an underlying Poisson structure and a 4vector R satisfying [Π, R] = 0. Here we are interested in cases that go beyond both above approaches, in that we do not have a vanilla QP structure due to the twist by a 5-form H, and for the same reason [Π, R] = 0.…”

Section: Jhep09(2021)045mentioning

confidence: 69%

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Topological field theories induced by twisted R-Poisson structure in any dimension

Chatzistavrakidis

2021

J. High Energ. Phys.

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We construct a class of topological field theories with Wess-Zumino term in spacetime dimensions ≥ 2 whose target space has a geometrical structure that suitably generalizes Poisson or twisted Poisson manifolds. Assuming a field content comprising a set of scalar fields accompanied by gauge fields of degree (1, p − 1, p) we determine a generic Wess-Zumino topological field theory in p + 1 dimensions with background data consisting of a Poisson 2-vector, a (p + 1)-vector R and a (p + 2)-form H satisfying a specific geometrical condition that defines a H-twisted R-Poisson structure of order p + 1. For this class of theories we demonstrate how a target space covariant formulation can be found by means of an auxiliary connection without torsion. Furthermore, we study admissible deformations of the generic class in special spacetime dimensions and find that they exist in dimensions 2, 3 and 4. The two-dimensional deformed field theory includes the twisted Poisson sigma model, whereas in three dimensions we find a more general structure that we call bi-twisted R-Poisson. This extends the twisted R-Poisson structure of order 3 by a non-closed 3-form and gives rise to a topological field theory whose covariant formulation requires a connection with torsion and includes a twisted Poisson sigma model in three dimensions as a special case. The relation of the corresponding structures to differential graded Q-manifolds based on the degree shifted cotangent bundle T*[p]T*[1]M is discussed, as well as the obstruction to them being QP-manifolds due to the Wess-Zumino term.

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Section: Jhep09(2021)045mentioning

confidence: 69%

“…For this reason, the type of topological field theories we present here truly require the above choice of M in order to be realised. This was also discussed in a special four-dimensional case in [33]. The fields of the theory are now obtained as pull-backs of the four types of graded coordinates according to…”

Section: Jhep09(2021)045mentioning

confidence: 99%

Topological field theories induced by twisted R-Poisson structure in any dimension

Chatzistavrakidis

2021

J. High Energ. Phys.

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“…From this one concludes that the full set of Bianchi identities of exceptional field theory must include connections and their derivatives understood as proper field strengths. Some progress in this direction has been made in [35] where dynamical fluxes of the scalar sector of the SL(5) ExFT has been analyzed by considering Courant brackets of the Type II fluxes. The ideas described above provide extension of their results to the full ExFT including fluxes of the tensor sector.…”

Section: Discussionmentioning

confidence: 99%

Gauge Field Fluxes and Bianchi Identities in Extended Field Theories

Musaev

2019

Theor Math Phys

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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 compactification schemes and provide consistency constraints for cosmological model building. Analysis of reduction of (10+10)-dimensional DFT into (D+d+d)dimensional split DFT allows to consider all Bianchi identities of the theory in the form analogous to the ExFT approach. Here we review in details and elaborate on these ideas.

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“…For n ≤ 9, T −1 (e n ) is the so-called embedding tensor representation [57,85] in supergravity in 11 − n dimensions [80]. T −1 is therefore the natural representation for the generalised fluxes in exceptional geometry [86][87][88]. We shall label the generators of T −1 by t I and they transform as…”

Section: Jhep06(2021)185mentioning

confidence: 99%

A master exceptional field theory

Bossard

Kleinschmidt

Sezgin

2021

J. High Energ. Phys.

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We construct a pseudo-Lagrangian that is invariant under rigid E11 and transforms as a density under E11 generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on E11 exceptional field theory and the inclusion of constrained fields that transform in an indecomposable E11-representation together with the E11 coset fields. We show that, in combination with gauge-invariant and E11-invariant duality equations, this pseudo-Lagrangian reduces to the bosonic sector of non-linear eleven-dimensional supergravity for one choice of solution to the section condi- tion. For another choice, we reobtain the E8 exceptional field theory and conjecture that our pseudo-Lagrangian and duality equations produce all exceptional field theories with maximal supersymmetry in any dimension. We also describe how the theory entails non-linear equations for higher dual fields, including the dual graviton in eleven dimensions. Furthermore, we speculate on the relation to the E10 sigma model.

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Fluxes in exceptional field theory and threebrane sigma-models

Cited by 16 publications

References 111 publications

Topological field theories induced by twisted R-Poisson structure in any dimension

Topological field theories induced by twisted R-Poisson structure in any dimension

Gauge Field Fluxes and Bianchi Identities in Extended Field Theories

A master exceptional field theory

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