BRST symmetry of doubled membrane sigma-models

Chatzistavrakidis, Athanasios; Grewcoe, Clay James; Jonke, Larisa; Khoo, Fech Scen; Szabo, Richard J.

doi:10.22323/1.347.0147

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2021

2023

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Cited by 3 publications

References 28 publications

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

Arvanitakis,

Tennyson

2023

Phys. Rev. D

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

Arvanitakis,

Tennyson

2023

Phys. Rev. D

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Algebroids, AKSZ Constructions and Doubled Geometry

Marotta

Szabo

2021

Complex Manifolds

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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 and their incarnations in the AKSZ construction, we develop the theory of metric algebroids including their graded geometry. We use metric algebroids to give a global description of doubled geometry, incorporating the section constraint, as well as an AKSZ-type construction of topological doubled sigma-models. When these notions are combined with ingredients of para-Hermitian geometry, we demonstrate how they reproduce kinematical features of double field theory from a global perspective, including solutions of the section constraint for Riemannian foliated doubled manifolds, as well as a natural notion of generalized T-duality for polarized doubled manifolds. We describe the L ∞-algebras of symmetries of a doubled geometry, and briefly discuss other proposals for global doubled geometry in the literature.

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Higher dimensional Lie algebroid sigma model with WZ term

Ikeda¹

2021

Preprint

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We generalize the (n + 1)-dimensional twisted R-Poisson topological sigma model with flux on a target Poisson manifold to a Lie algebroid. Analyzing consistency of constraints in the Hamiltonian formalism and the gauge symmetry in the Lagrangian formalism, geometric conditions of the target space to make the topological sigma model consistent are identified. The geometric condition is an universal compatibility condition of a Lie algebroid with the multi-symplectic structure. This condition is a generalization of the momentum map theory of a Lie group and is regarded as a generalization of the momentum section condition of the Lie algebroid.

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BRST symmetry of doubled membrane sigma-models

Cited by 3 publications

References 28 publications

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

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

Algebroids, AKSZ Constructions and Doubled Geometry

Higher dimensional Lie algebroid sigma model with WZ term

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