Integrable λ-deformations: squashing coset CFTs and AdS5 × S5

Demulder, Saskia; Sfetsos, Konstadinos; Thompson, Daniel C.

doi:10.1007/jhep07(2015)019

Cited by 79 publications

(140 citation statements)

References 89 publications

(164 reference statements)

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“…Indeed, the computation of the corresponding RG flow equations using gravitational methods was performed in [2,3] and is in agreement with results from field theoretical methods [8][9][10]. Furthermore, it was shown that these models, named generically as λ-deformed, can be embedded in specific cases of low dimensionality to supergravity [11][12][13][14][15], while their relation to η-deformations for group and coset spaces introduced in [16][17][18] and [19][20][21] respectively, via Poisson-Lie T-duality [22] and appropriate analytic continuations, was uncovered in [23][24][25][26][27]. More recently, the computation of the all-loop correlators for the…”

Section: Jhep03(2017)083supporting

confidence: 70%

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A new class of integrable deformations of CFTs

Georgiou

Sfetsos

2017

J. High Energ. Phys.

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108

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We construct a new class of integrable σ-models based on current algebra theories for a general semisimple group G by utilizing a left-right asymmetric gauging. Their action can be thought of as the all-loop effective action of two independent WZW models for G both at level k, perturbed by current bilinears mixing the different WZW models. A non-perturbative symmetry in the couplings parametric space is revealed. We perform the Hamiltonian analysis of the action and demonstrate integrability in several cases. We extend our construction to deformations of G/H CFTs and show integrability when G/H is a symmetric space. Our method resembles that used for constructing the λ-deformed integrable σ-models, but the results are distinct and novel.

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Section: Jhep03(2017)083supporting

confidence: 70%

“…The example provided in section 4 seems to be resonably simple for that purpose. The analog works of embedding λ-deformations to supergravity in [11][12][13][14][15] should be very helpful in that direc-…”

Section: Discussionmentioning

confidence: 99%

A new class of integrable deformations of CFTs

Georgiou

Sfetsos

2017

J. High Energ. Phys.

Self Cite

108

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“…It is worth noting that there is a simple analytic continuation that takes the AdS 5 deformation to the S 5 deformation. Interestingly, just as for λ-deformations [77,78], it can be shown that the dilaton equation forces the same deformation parameter in AdS 5 and S 5 . Since η-deformations correspond to scaling limits of λ-deformations [79] this is not too surprising.…”

Section: η-Deformations and Mcybementioning

confidence: 91%

I in generalized supergravity

Araujo¹,

Colgáin²,

Sakamoto³

et al. 2017

Eur. Phys. J. C

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We showed in previous work that for homogeneous Yang-Baxter (YB) deformations of AdS 5 ×S 5 the open string metric and coupling and as a result the closed string density e −2 √ g remain undeformed. In this work, in addition to extending these results to the deformation associated with the modified CYBE or η-deformation, we identify the Page forms as the open string counterpart for RR fields and demonstrate case by case that the non-zero Page forms remain invariant under YB deformations. We give a physical meaning to the Killing vector I of generalized supergravity and show for all YB deformations: (1) I appears as a current for the center of mass motion on the worldvolume of a D-brane probing the background, (2) I is equal to the divergence of the noncommutativity parameter, (3) I exhibits "holographic" behavior where the radial component of I vanishes at the AdS boundary and (4) in pure spinor formalism I is related to a certain state in the BRST cohomology.

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“…The η-deformation [10,11,41,42], which is an example of YB-deformations, is related to another integrable deformation called the λ-deformation [55,[97][98][99][100] via the PL T-duality [101,102]. This relation has been further generalized by intriguing works [103,104].…”

Section: Jhep12(2017)108mentioning

confidence: 99%

T -folds from Yang-Baxter deformations

Fernandez-Melgarejo

Sakamoto

Sakatani

et al. 2017

J. High Energ. Phys.

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Yang-Baxter (YB) deformations of type IIB string theory have been well studied from the viewpoint of classical integrability. Most of the works, however, are focused upon the local structure of the deformed geometries and the global structure still remains unclear. In this work, we reveal a non-geometric aspect of YB-deformed backgrounds as Tfold by explicitly showing the associated O(D, D; Z) T -duality monodromy. In particular, the appearance of an extra vector field in the generalized supergravity equations (GSE) leads to the non-geometric Q-flux. In addition, we study a particular solution of GSE that is obtained by a non-Abelian T -duality but cannot be expressed as a homogeneous YB deformation, and show that it can also be regarded as a T -fold. This result indicates that solutions of GSE should be non-geometric quite in general beyond the YB deformation.

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Integrable λ-deformations: squashing coset CFTs and AdS5 × S5

Cited by 79 publications

References 89 publications

A new class of integrable deformations of CFTs

A new class of integrable deformations of CFTs

I in generalized supergravity

T -folds from Yang-Baxter deformations

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