An Introduction to Generalised Dualities and their Applications to Holography and Integrability

Daniel C. Thompson

doi:10.22323/1.347.0099

An Introduction to Generalised Dualities and their Applications to Holography and Integrability

Daniel C. Thompson

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

These pedagogical lectures given at the Corfu Summer Institute 2018 review two generalised notions of T-duality, non-Abelian T-duality and Poisson-Lie duality, and their applications. We explain how each of these has seen recent application in the context of holography. Non-Abelian T-duality has been used to construct new holographic dual geometries. Poisson-Lie duality has been used to construct new integrable string sigma-models including the $\eta$- and $\lambda$-deformations of the $AdS_5\times S^5$ superstring thought to encode quantum group deformations of holography. We also comment on the doubled worldsheet description that makes such dualities manifest.

Original language	English
Article number	099
Number of pages	61
Journal	Proceedings of Science
Volume	347
DOIs	https://doi.org/10.22323/1.347.0099
Publication status	Published - 19 Sept 2019
Event	Dualities and Generalized Geometries Corfu - Duration: 3 Sept 2018 → 8 Sept 2018

Bibliographical note

Proceedings to Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity", Review article/Introductory lectures, 61pages

Keywords

hep-th

Access to Document

10.22323/1.347.0099

Handle.net

Persistent link

FWOAL903: Duality, Geometry and Spacetime
Sevrin, A. (Administrative Promotor), Blair, C. (Co-Promotor) & Thompson, D. (Co-Promotor)
1/01/19 → 31/12/22
Project: Fundamental
SRP8: Strategic Research Programme: High-Energy Physics at the VUB
D'Hondt, J. (Administrative Promotor), Van Eijndhoven, N. (Co-Promotor), Craps, B. (Co-Promotor) & Buitink, S. (Co-Promotor)
1/11/12 → 31/10/24
Project: Fundamental

Cite this

@article{ef3cb83b103b4deb90d50a23eed09263,

title = "An Introduction to Generalised Dualities and their Applications to Holography and Integrability",

abstract = " These pedagogical lectures given at the Corfu Summer Institute 2018 review two generalised notions of T-duality, non-Abelian T-duality and Poisson-Lie duality, and their applications. We explain how each of these has seen recent application in the context of holography. Non-Abelian T-duality has been used to construct new holographic dual geometries. Poisson-Lie duality has been used to construct new integrable string sigma-models including the $\eta$- and $\lambda$-deformations of the $AdS_5\times S^5$ superstring thought to encode quantum group deformations of holography. We also comment on the doubled worldsheet description that makes such dualities manifest. ",

keywords = "hep-th",

author = "Thompson, {Daniel C.}",

note = "Proceedings to Corfu Summer Institute 2018 {"}School and Workshops on Elementary Particle Physics and Gravity{"}, Review article/Introductory lectures, 61pages; Dualities and Generalized Geometries Corfu ; Conference date: 03-09-2018 Through 08-09-2018",

year = "2019",

month = sep,

day = "19",

doi = "10.22323/1.347.0099",

language = "English",

volume = "347",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "SISSA",

}

TY - JOUR

T1 - An Introduction to Generalised Dualities and their Applications to Holography and Integrability

AU - Thompson, Daniel C.

N1 - Proceedings to Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity", Review article/Introductory lectures, 61pages

PY - 2019/9/19

Y1 - 2019/9/19

N2 - These pedagogical lectures given at the Corfu Summer Institute 2018 review two generalised notions of T-duality, non-Abelian T-duality and Poisson-Lie duality, and their applications. We explain how each of these has seen recent application in the context of holography. Non-Abelian T-duality has been used to construct new holographic dual geometries. Poisson-Lie duality has been used to construct new integrable string sigma-models including the $\eta$- and $\lambda$-deformations of the $AdS_5\times S^5$ superstring thought to encode quantum group deformations of holography. We also comment on the doubled worldsheet description that makes such dualities manifest.

AB - These pedagogical lectures given at the Corfu Summer Institute 2018 review two generalised notions of T-duality, non-Abelian T-duality and Poisson-Lie duality, and their applications. We explain how each of these has seen recent application in the context of holography. Non-Abelian T-duality has been used to construct new holographic dual geometries. Poisson-Lie duality has been used to construct new integrable string sigma-models including the $\eta$- and $\lambda$-deformations of the $AdS_5\times S^5$ superstring thought to encode quantum group deformations of holography. We also comment on the doubled worldsheet description that makes such dualities manifest.

KW - hep-th

U2 - 10.22323/1.347.0099

DO - 10.22323/1.347.0099

M3 - Article

SN - 1824-8039

VL - 347

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 099

T2 - Dualities and Generalized Geometries Corfu

Y2 - 3 September 2018 through 8 September 2018

ER -

An Introduction to Generalised Dualities and their Applications to Holography and Integrability

Abstract

Bibliographical note

Keywords

Access to Document

Handle.net

Fingerprint

Projects

FWOAL903: Duality, Geometry and Spacetime

SRP8: Strategic Research Programme: High-Energy Physics at the VUB

Cite this