Brane Wess-Zumino terms from AKSZ and exceptional generalised geometry as an -algebroid

AS Arvanitakis - arXiv preprint arXiv:1804.07303, 2018 - arxiv.org
We reinterpret the generalised Lie derivative of M-theory $ E_6 $ generalised geometry as
hamiltonian flow on a graded symplectic supermanifold. The hamiltonian acts as the …

On exceptional QP-manifolds

D Osten - Journal of High Energy Physics, 2024 - Springer
A bstract The connection between two recent descriptions of tensor hierarchies—namely,
infinity-enhanced Leibniz algebroids, given by Bonezzi & Hohm and Lavau & Palmkvist, and …

Higher quantum geometry and non-geometric string theory

RJ Szabo - arXiv preprint arXiv:1803.08861, 2018 - arxiv.org
We present a concise overview of the physical and mathematical structures underpinning
the appearence of nonassociative deformations of geometry in non-geometric string theory …

Brane current algebras and generalised geometry from QP manifolds. Or,“when they go high, we go low”

AS Arvanitakis - Journal of High Energy Physics, 2021 - Springer
A bstract We construct a Poisson algebra of brane currents from a QP-manifold, and show
their Poisson brackets take a universal geometric form. This generalises a result of Alekseev …

Fluxes in exceptional field theory and threebrane sigma-models

A Chatzistavrakidis, L Jonke, D Lüst… - Journal of High Energy …, 2019 - Springer
A bstract 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 …

Double Field Theory for the A/B‐Models and Topological S‐Duality in Generalized Geometry

Z Kökényesi, A Sinkovics, RJ Szabo - Fortschritte der Physik, 2018 - Wiley Online Library
We study AKSZ‐type BV constructions for the topological A‐and B‐models within a double
field theory formulation that incorporates backgrounds with geometric and non‐geometric …

Brane wrapping, Alexandrov-Kontsevich-Schwarz-Zaboronsky sigma models, and manifolds

AS Arvanitakis, D Tennyson - Physical Review D, 2023 - APS
We introduce a technique to realize brane wrapping and double dimensional reduction in
the context of Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) topological sigma …

Romans massive QP manifolds

AS Arvanitakis, E Malek, D Tennyson - Universe, 2022 - mdpi.com
We introduce QP manifolds that capture the generalised geometry of type IIA string
backgrounds with Ramond–Ramond fluxes and Romans mass. Each of these is associated …

Algebroids, AKSZ Constructions and Doubled Geometry

VE Marotta, RJ Szabo - Complex Manifolds, 2021 - degruyter.com
We give a self-contained survey of some approaches aimed at a global description of the
geometry underlying double field theory. After reviewing the geometry of Courant algebroids …

Generalising Courant algebroids to M-theory

AS Arvanitakis - arXiv preprint arXiv:1904.12361, 2019 - arxiv.org
We introduce M-theoretic generalisations of the notion of (exact) Courant algebroid, and
summarise their connections to generalised geometry, U-duality, and the physics of strings …