Derivation of the action and symmetries of the q-deformed AdS5 × S
                            5 superstring

Delduc, F.; Magro, Marc; Vicedo, Benoit

doi:10.1007/jhep10(2014)132

Cited by 170 publications

(383 citation statements)

References 52 publications

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“…η −1 ds 2 = r 2 (1−x 2 ) 1+η 2 (1−r 2 )(1−r 2 x 2 ) (dφ 1 −dφ 3 ) 2 +(1−r 2 )dφ 2 2 + r 2 x 2 1+η 2 (1−r 2 x 2 ) dφ 2 3 + 1 1+η 2 (1−r 2 )(1−r 2 x 2 ) ((1−x 2 )dr−r(1−r 2 )xdx) 2 (1−r 2 )(1−x 2 )(1−r 2 x 2 ) + 1 1+η 2 (1−r 2 x 2 ) (xdr+rdx) 2 1−r 2 x 2 , η −1 B = ηr 1+η 2 (1−r 2 )(1−r 2 x 2 ) (dφ 1 −dφ 3 )∧((1−x 2 )dr−r(1−r 2 )xdx) + ηrx 1+η 2 (1−r 2 x 2 ) dφ 3 ∧(xdr+rdx) . (B.7)…”

Section: (B3)mentioning

confidence: 99%

“…Two of the most well-studied deformations are associated to q deformations of the isometry algebra psu 2,2|4 . These are the η deformation [1,2] and the λ deformation [3]. The former is a deformation of the Green-Schwarz type IIB superstring [4][5][6][7] written as a sigma model on the supercoset [8,9] PSU 2,2|4 SO 1,4 × SO 5 , (…”

Section: Introductionmentioning

confidence: 99%

“…The η deformation of the AdS 5 ×S 5 superstring [1,2] generalises a certain integrable deformation of the principal chiral model [10,11] and of the symmetric space sigma model [12], often referred to as Yang-Baxter sigma models due to their explicit dependence on a nonsplit solution of the modified classical Yang-Baxter equation. The model depends on two parameters: an overall coupling h, which plays the role of the effective string tension, and the deformation parameter η.…”

Section: Introductionmentioning

confidence: 99%

“…After the deformation only the Cartan subalgebra of the original isometry algebra remains a symmetry. However, the other charges are not lost; rather they are hidden, satisfying the relations of the q deformed isometry algebra, where q ∈ R is a function of the string tension and η [2,13,14].…”

Section: Introductionmentioning

confidence: 99%

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Poisson-Lie duals of the η deformed symmetric space sigma model

Hoare

Seibold

2017

J. High Energ. Phys.

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Poisson-Lie dualising the η deformation of the G/H symmetric space sigma model with respect to the simple Lie group G is conjectured to give an analytic continuation of the associated λ deformed model. In this paper we investigate when the η deformed model can be dualised with respect to a subgroup G 0 of G. Starting from the first-order action on the complexified group and integrating out the degrees of freedom associated to different subalgebras, we find it is possible to dualise when G 0 is associated to a subDynkin diagram. Additional U 1 factors built from the remaining Cartan generators can also be included. The resulting construction unifies both the Poisson-Lie dual with respect to G and the complete abelian dual of the η deformation in a single framework, with the integrated algebras unimodular in both cases. We speculate that extending these results to the path integral formalism may provide an explanation for why the η deformed AdS 5 × S 5 superstring is not one-loop Weyl invariant, that is the couplings do not solve the equations of type IIB supergravity, yet its complete abelian dual and the λ deformed model are.

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Section: (B3)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Poisson-Lie duals of the η deformed symmetric space sigma model

Hoare

Seibold

2017

J. High Energ. Phys.

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“…2 An important application of the Yang-Baxter sigma model description is integrable deformations of the AdS 5 × S 5 superstring. A q-deformation with a classical r-matrix satisfying the mcybe has been studied in [36,37]. Jordanian deformations based on the cybe have been proposed in [38].…”

Section: Jhep10(2015)185mentioning

confidence: 99%

Yang-Baxter deformations of Minkowski spacetime

Matsumoto

Orlando

Reffert

et al. 2015

J. High Energ. Phys.

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We study Yang-Baxter deformations of 4D Minkowski spacetime. The YangBaxter sigma model description was originally developed for principal chiral models based on a modified classical Yang-Baxter equation. It has been extended to coset curved spaces and models based on the usual classical Yang-Baxter equation. On the other hand, for flat space, there is the obvious problem that the standard bilinear form degenerates if we employ the familiar coset Poincaré group/Lorentz group. Instead we consider a slice of AdS 5 by embedding the 4D Poincaré group into the 4D conformal group SO(2, 4) . With this procedure we obtain metrics and B-fields as Yang-Baxter deformations which correspond to well-known configurations such as T-duals of Melvin backgrounds, Hashimoto-Sethi and Spradlin-Takayanagi-Volovich backgrounds, the T-dual of Grant space, pp-waves, and T-duals of dS 4 and AdS 4 . Finally we consider a deformation with a classical r-matrix of Drinfeld-Jimbo type and explicitly derive the associated metric and B-field which we conjecture to correspond to a new integrable system.

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Superstring Actions in $$AdS_5\times S^5$$ and $$AdS_4\times \mathbb {CP}^3$$ Spaces

Vescovi

2017

Springer Theses

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Derivation of the action and symmetries of the q-deformed AdS5 × S 5 superstring

Cited by 170 publications

References 52 publications

Poisson-Lie duals of the η deformed symmetric space sigma model

Poisson-Lie duals of the η deformed symmetric space sigma model

Yang-Baxter deformations of Minkowski spacetime

Superstring Actions in $$AdS_5\times S^5$$ and $$AdS_4\times \mathbb {CP}^3$$ Spaces

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