A note on Faddeev-Popov action for doubled-yet-gauged particle and graded Poisson geometry

Basile, Thomas; Joung, Euihun; Park, Jeong-Hyuck

doi:10.1007/jhep02(2020)022

Cited by 9 publications

(7 citation statements)

References 107 publications

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“…This seems to imply that a photon would not merely follow a null geodesic, but would be also influenced by the dilaton φ, e.g. [55]. Further analysis on the action (44), using methods such as Eikonal approximation [56], is desirable.…”

Section: Discussionmentioning

confidence: 99%

Stringy Newton gravity with H -flux

2020

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A Symmetry Principle has been shown to augment unambiguously the Einstein Field Equations, promoting the whole closed-string massless NS-NS sector to stringy graviton fields. Here we consider its weak field approximation, take a non-relativistic limit, and derive the stringy augmentation of Newton Gravity:Not only the mass density ρ but also the current density K is intrinsic to matter. Sourcing H which is of NS-NS H-flux origin, K is nontrivial if the matter is 'stringy'. H contributes quadratically to the Newton potential, but otherwise is decoupled from the point particle dynamics, i.e.ẍ = −∇Φ. We define 'stringization' analogous to magnetization and discuss regular as well as monopole-like singular solutions.

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Section: Discussionmentioning

confidence: 99%

Stringy Newton gravity with H -flux

2020

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“…Note that there has been other related work looking at double field theory from a world sheet perspective in [20][21][22][23] and also [24]. Of particular overlap with the approach in this paper is the work [25,26].…”

Section: Jhep06(2021)059mentioning

confidence: 94%

Double field theory and geometric quantisation

Alfonsi

Berman

2021

J. High Energ. Phys.

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We examine various properties of double field theory and the doubled string sigma model in the context of geometric quantisation. In particular we look at T-duality as the symplectic transformation related to an alternative choice of polarisation in the construction of the quantum bundle for the string. Following this perspective we adopt a variety of techniques from geometric quantisation to study the doubled space. One application is the construction of the “double coherent state” that provides the shortest distance in any duality frame and a “stringy deformed” Fourier transform.

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“…Very intriguingly this formalism led to novel non‐Riemannian backgrounds in [22, 66] and [25]. Recently a BRST formulation for the action of a particle on the doubled‐yet‐gauged space has been proposed by [11] and related to the NQP‐geometry involved by other proposals.…”

Section: Review Of Proposals For Dft Geometrymentioning

confidence: 99%

The Puzzle of Global Double Field Theory: Open Problems and the Case for a Higher Kaluza‐Klein Perspective

Alfonsi

2021

Fortschritte der Physik

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The history of the geometry of Double Field Theory is the history of string theorists' effort to tame higher geometric structures. In this spirit, the first part of this paper will contain a brief overview on the literature of geometry of DFT, focusing on the attempts of a global description. In [1] we proposed that the global doubled space is not a manifold, but the total space of a bundle gerbe. This would mean that DFT is a field theory on a bundle gerbe, in analogy with ordinary Kaluza‐Klein Theory being a field theory on a principal bundle. In this paper we make the original construction by [1] significantly more immediate. This is achieved by introducing an atlas for the bundle gerbe. This atlas is naturally equipped with 2d‐dimensional local charts, where d is the dimension of physical spacetime. We argue that the local charts of this atlas should be identified with the usual coordinate description of DFT. In the last part we will discuss aspects of the global geometry of tensor hierarchies in this bundle gerbe picture. This allows to identify their global non‐geometric properties and explain how the picture of non‐abelian String‐bundles emerges. We interpret the abelian T‐fold and the Poisson‐Lie T‐fold as global tensor hierarchies.

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A note on Faddeev-Popov action for doubled-yet-gauged particle and graded Poisson geometry

Cited by 9 publications

References 107 publications

Stringy Newton gravity with H -flux

Stringy Newton gravity with H -flux

Double field theory and geometric quantisation

The Puzzle of Global Double Field Theory: Open Problems and the Case for a Higher Kaluza‐Klein Perspective

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