On de Sitter spacetime and string theory

P Berglund, T Hübsch, D Minic - International Journal of Modern …, 2023 - World Scientific
We review various aspects of de Sitter spacetime in string theory: its status as an Effective
Field Theory spacetime solution, its relation to the vacuum energy problem in string theory …

Born sigma-models for para-Hermitian manifolds and generalized T-duality

VE Marotta, RJ Szabo - Reviews in Mathematical Physics, 2021 - World Scientific
We give a covariant realization of the doubled sigma-model formulation of duality-symmetric
string theory within the general framework of para-Hermitian geometry. We define a notion of …

Double field theory and membrane sigma-models

A Chatzistavrakidis, L Jonke, FS Khoo… - Journal of High Energy …, 2018 - Springer
A bstract We investigate geometric aspects of double field theory (DFT) and its formulation
as a doubled membrane sigma-model. Starting from the standard Courant algebroid over …

Drinfel'd double of bialgebroids for string and M theories: dual calculus framework

A Çatal-Özer, K Doğan, C Yetişmişoğlu - Journal of High Energy Physics, 2024 - Springer
A bstract We extend the notion of Lie bialgebroids for more general bracket structures used
in string and M theories. We formalize the notions of calculus and dual calculi on algebroids …

Basic curvature & the Atiyah cocycle in gauge theory

A Chatzistavrakidis, L Jonke - Journal of Physics A: Mathematical …, 2024 - iopscience.iop.org
Motivated from target space covariant formulations of topological sigma models and from a
graded-geometric approach to higher gauge theory, we study connections on Lie and …

Global aspects of doubled geometry and pre-rackoid

N Ikeda, S Sasaki - Journal of Mathematical Physics, 2021 - pubs.aip.org
The integration problem of a C-bracket and a Vaisman (metric, pre-DFT) algebroid that are
geometric structures of double field theory (DFT) is analyzed. We introduce a notion of a pre …

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 …

D-Branes in para-Hermitian geometries

VE Marotta, RJ Szabo - Universe, 2022 - mdpi.com
We introduce T-duality invariant versions of D-branes in doubled geometry using a global
covariant framework based on para-Hermitian geometry and metric algebroids. We define D …

The algebroid structure of double field theory

A Chatzistavrakidis, L Jonke, FS Khoo… - arXiv preprint arXiv …, 2019 - arxiv.org
By doubling the target space of a canonical Courant algebroid and subsequently projecting
down to a specific subbundle, we identify the data of double field theory (DFT) and hence …

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 …