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Doubled aspects of generalised dualities and integrable deformations · Around

2018

Doubled aspects of generalised dualities and integrable deformations

Demulder, Saskia, Hassler, Falk, Thompson, Daniel C.

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The worldsheet theories that describe Poisson-Lie T-dualisable $\sigma$-models on group manifolds as well as integrable $\eta$, $\lambda$ and $\beta$-deformations provide examples of ${\cal E}$-models.

Here we show how such ${\cal E}$-models can be given an elegant target space description within Double Field Theory by specifying explicitly generalised frame fields forming an algebra under the generalised Lie derivative.
With this framework we can extract simple criteria for the R/R fields and the dilaton that extend the ${\cal E}$-model conditions to type II backgrounds.
In particular this gives conditions for a type II background to be Poisson-Lie T-dualisable.

Built on

J. Scherk and J. H. Schwarz, Spontaneous Breaking of Supersymmetry Through Dimensional Reduction
1979
Earlier work this paper cites.
J. Scherk and J. H. Schwarz, How to Get Masses from Extra Dimensions
1979
Earlier work this paper cites.
A. A. Tseytlin, Duality Symmetric Formulation of String World Sheet Dynamics
1990
Earlier work this paper cites.
A. A. Tseytlin, Duality symmetric closed string theory and interacting chiral scalars
1991
Earlier work this paper cites.
M. Rocek and E. P. Verlinde, Duality, quotients, and currents
1992
Earlier work this paper cites.
X. C. de la Ossa and F. Quevedo, Duality symmetries from nonAbelian isometries in string theory
1993
Earlier work this paper cites.
hep-th/9410046
M. J. Duff, Kaluza-Klein theory in perspective · 1994
Earlier work this paper cites.
C. Klimčík and P. Ševera, Dual nonAbelian duality and the Drinfeld double
1995
Earlier work this paper cites.
Y. Lozano, NonAbelian duality and canonical transformations
1995
Earlier work this paper cites.
C. Klimčík and P. Ševera, Poisson-Lie T duality and loop groups of Drinfeld doubles
1996
Earlier work this paper cites.
C. Klimčík and P. Ševera, NonAbelian momentum winding exchange
1996
Earlier work this paper cites.
K. Sfetsos, Poisson-Lie T duality and supersymmetry
1997
Earlier work this paper cites.
R. Minasian and G. W. Moore, K theory and Ramond-Ramond charge
1997
Earlier work this paper cites.
K. Sfetsos, Canonical equivalence of nonisometric sigma models and Poisson-Lie T duality
1998
Earlier work this paper cites.
E. Witten, D-branes and K theory
1998
Earlier work this paper cites.
A. Stern, Hamiltonian approach to Poisson Lie T - duality
1999
Earlier work this paper cites.
K. Hori, D-branes, T duality, and index theory
1999
Earlier work this paper cites.
S. F. Hassan, T duality, space-time spinors and RR fields in curved backgrounds
2000
Earlier work this paper cites.
C. Klimčík, Yang-Baxter sigma models and dS/AdS T duality
2002
Earlier work this paper cites.
Y. Kosmann-Schwarzbach, Quasi, twisted, and all that… in Poisson geometry and Lie algebroid theory
2003
Earlier work this paper cites.
M. Cvetic, G. W. Gibbons, H. Lu, and C. N. Pope, Consistent group and coset reductions of the bosonic string
2003
Earlier work this paper cites.
J. Shelton, W. Taylor, and B. Wecht, Nongeometric flux compactifications
2005
Earlier work this paper cites.
C. M. Hull, Doubled Geometry and T-Folds
2007
Earlier work this paper cites.
C. M. Hull and R. A. Reid-Edwards, Non-geometric backgrounds, doubled geometry and generalised T-duality
Original
2009
Earlier work this paper cites.
C. Hull and B. Zwiebach, Double Field Theory
Original
2009
Earlier work this paper cites.
M. Grana, R. Minasian, M. Petrini, and D. Waldram, T-duality, Generalized Geometry and Non-Geometric Backgrounds
Original
2009
Earlier work this paper cites.
C. Klimcik, On integrability of the Yang-Baxter sigma-model
Original
2009
Earlier work this paper cites.
S. D. Avramis, J.-P. Derendinger, and N. Prezas, Conformal chiral boson models on twisted doubled tori and non-geometric string vacua
Original
2010
Earlier work this paper cites.

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