Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory

Mori, Haruka; Sasaki, Shin; Shiozawa, Kenta

doi:10.1063/1.5108783

Cited by 20 publications

(28 citation statements)

References 114 publications

(290 reference statements)

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“…A new formulation of DFT on group manifolds (called DFT WZW ) has been developed in [20][21][22], and in the recent works [23,24], the PL T -duality has been studied in the framework of DFT WZW . In more recent papers [7,25], the non-Abelian T -duality and the PL T -duality have been discussed by using another approach, called the gauged DFT [26][27][28][29][30][31] (see also [32,33] for recent discussion on the Drinfel'd double and related aspects in DFT). Thus, DFT is now not restricted to Abelian T -duality but can be applied also to the non-Abelian extensions.…”

Section: Introductionmentioning

confidence: 99%

U -duality extension of Drinfel’d double

Sakatani

2020

Progress of Theoretical and Experimental Physics

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Abstract A family of algebras $\mathcal{E}_n$ that extends the Lie algebra of the Drinfel’d double is proposed. This allows us to systematically construct the generalized frame fields $E_A{}^I$ which realize the proposed algebra by means of the generalized Lie derivative, i.e., $\hat{\pounds}_{E_A}E_B{}^I =-\mathcal{F}_{AB}{}^C\,E_C{}^I$. By construction, the generalized frame fields include a twist by a Nambu–Poisson tensor. A possible application to the non-Abelian extension of $U$-duality and a generalization of the Yang–Baxter deformation are also discussed.

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Section: Introductionmentioning

confidence: 99%

U -duality extension of Drinfel’d double

Sakatani

2020

Progress of Theoretical and Experimental Physics

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“…The formulation of Double Field Theory on group manifolds, including its relation with Poisson-Lie symmetries, has been studied in ref.s [75,76]. For recent results see ref.s [77,78]. This is the second of a series of two papers.…”

Section: Introductionmentioning

confidence: 99%

T-dualities and Doubled Geometry of the Principal Chiral Model

Marotta

Pezzella

Vitale

2019

J. High Energ. Phys.

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The Principal Chiral Model (PCM) defined on the group manifold of SU (2) is here investigated with the aim of getting a further deepening of its relation with Generalized Geometry and Doubled Geometry. A one-parameter family of equivalent Hamiltonian descriptions is analysed, and cast into the form of Born geometries. Then O(3, 3) duality transformations of the target phase space are performed and we show that the resulting dual models are defined on the group SB(2, C) which is the Poisson-Lie dual of SU (2) in the Iwasawa decomposition of the Drinfel'd double SL(2, C). A parent action with doubled degrees of freedom and configuration space SL(2, C) is then defined that reduces to either one of the dually related models, once suitable constraints are implemented.

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“…where the doubled space is the tangent bundle of some manifold, can be found in [15]. Group manifolds such as Drinfel'd doubles can also be viewed from a para-Hermitian perspective and provide another class of examples [15,16,17].…”

Section: Resultsmentioning

confidence: 99%

Born Geometry in a Nutshell

Rudolph¹,

Svoboda²

2019

Proceedings of Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2018)

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We give a concise summary of the para-Hermitian geometry that describes a doubled target space fit for a covariant description of T-duality in string theory. This provides a generalized differentiable structure on the doubled space and leads to a kinematical setup which allows for the recovery of the physical spacetime. The picture can be enhanced to a Born geometry by including dynamical structures such as a generalized metric and fluxes which are related to the physical background fields in string theory. We then discuss a generalization of the Levi-Civita connection in this setting-the Born connection-and a twisting of the kinematical structure in the presence of fluxes.

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Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory

Cited by 20 publications

References 114 publications

U -duality extension of Drinfel’d double

U -duality extension of Drinfel’d double

T-dualities and Doubled Geometry of the Principal Chiral Model

Born Geometry in a Nutshell

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