Master symmetry in the AdS
                            5 × S
                            5 pure spinor string

Chandı́a, Osvaldo; Linch, William D.; Vallilo, Brenno Carlini

doi:10.1007/jhep01(2017)024

Cited by 6 publications

(5 citation statements)

References 33 publications

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“…The master symmetry discussed for symmetric space models in reference [4] was extended shortly afterwards to the pure spinor description of the superstring in AdS 5ˆS 5 [41]. Indeed, the generalization to semisymmetric space models is straightforward, as we shall see below.…”

Section: Master Symmetrymentioning

confidence: 99%

“…Here, we generalize the discussion to a class of models known as semisymmetric space models. In addition to reviewing the construction of the conserved charges, we also introduce the master symmetry for these models, which was formulated for the pure spinor superstring in reference [41]. Moreover, we construct an infinite tower of so-called bonus symmetry charges.…”

Section: Introductionmentioning

confidence: 99%

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Symmetries of Maldacena-Wilson Loops from Integrable String Theory

Münkler

2018

Springer Theses

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This thesis discusses hidden symmetries within N " 4 supersymmetric Yang-Mills theory or its AdS/CFT dual, string theory in AdS 5ˆS 5 . Here, we focus on the Maldacena-Wilson loop, which is a suitable object for this study since its vacuum expectation value is finite for smooth contours and the conjectured duality to scattering amplitudes provides a conceptual path to transfer its symmetries to other observables. Its strong-coupling description via minimal surfaces in AdS 5 allows to construct the symmetries from the integrability of the underlying classical string theory. This approach has been utilized before to derive a strong-coupling Yangian symmetry of the Maldacena-Wilson loop and describe equiareal deformations of minimal surfaces in AdS 3 . These two findings are connected and extended in the present thesis.In order to discuss the symmetries systematically, we first discuss the symmetry structure of the underlying string model. The discussion can be generalized to the discussion of generic symmetric space models. For these, we find that the symmetry which generates the equiareal deformations of minimal surfaces in AdS 3 has a central role in the symmetry structure of the model: It acts as a raising operator on the infinite tower of conserved charges, thus generating the spectral parameter, and can be employed to construct all symmetry variations from the global symmetry of the model. It is thus referred to as the master symmetry of symmetric space models. Additionally, the algebra of the symmetry variations and the conserved charges is worked out.For the concrete case of minimal surfaces in AdS 5 , we discuss the deformation of the four-cusp solution, which provides the dual description of the four-gluon scattering amplitude. This marks the first step toward transferring the master symmetry to scattering amplitudes. Moreover, we compute the master and Yangian symmetry variations of generic, smooth boundary curves. The results leads to a couplingdependent generalization of the master symmetry, which constitutes a symmetry of the Maldacena-Wilson loop at any value of the coupling constant. Our discussion clarifies why previous attempts to transfer the deformations of minimal surfaces in AdS 3 to weak coupling were unsuccessful. We discuss several attempts to transfer the Yangian symmetry to weak or arbitrary coupling, but ultimately conclude that a Yangian symmetry of the Maldacena-Wilson loop seems not to be present.The situation changes when we consider Wilson loops in superspace, which are the natural supersymmetric generalizations of the Maldacena-Wilson loop. Substantial evidence for the Yangian invariance of their vacuum expectation value has been provided at weak coupling and the description of the operator as well as its weak-coupling Yangian invariance were subsequently established in parallel to the work on this thesis. We discuss the strong-coupling counterpart of this finding, where the Wilson loop in superspace is described by minimal surfaces in the superspace of type IIB superstring theory i...

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Section: Master Symmetrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Symmetries of Maldacena-Wilson Loops from Integrable String Theory

Münkler

2018

Springer Theses

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“…Note that in the limit R → ∞ the algebra defined by these generators is iso(1, 4) ⊕ iso (5). This is expected to be enhanced to the full iso (1,9) since new conserved currents will appear as R → ∞.…”

Section: Bmn Limit Of the Psu(2 2|4) Algebramentioning

confidence: 99%

“…An attempt to describe a massive state was made in [6], however some contributions were incorrectly ignored [7]. Although the pure spinor sigma model is classically integrable [8,9] and some quantum aspects have been studied [10,11] there are no techniques available to help computing the spectrum. It is possible that the formalism developed in [12] and applied in [13,14] could be generalized to the case of AdS pure spinor string.…”

Section: Introductionmentioning

confidence: 99%

Vertex operators for the plane wave pure spinor string

Chandı́a

Vallilo

2018

J. High Energ. Phys.

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“…A formal construction for the integrated vertex operator in this case was done in [13] using the string Lax pair [14][15][16]. The explicit form of the integrated vertex operator was not considered in this reference.…”

Section: Introductionmentioning

confidence: 99%