Master symmetry for holographic Wilson loops

Klose, Thomas; Loebbert, Florian; Münkler, Hagen

doi:10.1103/physrevd.94.066006

Cited by 16 publications

(32 citation statements)

References 30 publications

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“…This paper is organized as follows: in section 2, we give a short review of the pure spinor string in AdS 5 × S 5 including its flat current using a notation that will be useful in the subsequent sections. In section 3, we extend the master symmetry discussed in [13] to the pure spinor string. In section 4, we derive how the existence of the first Yangian charge is a consequence of the master symmetry and the global psu(2, 2|4) symmetry.…”

Section: Jhep01(2017)024mentioning

confidence: 99%

“…Following Klose, Loebbert, and Münkler [13], we can define a flat deformation of the Maurer-Cartan current by…”

Section: Master Symmetrymentioning

confidence: 99%

“…With this, we are finally in the position to define the "master symmetry" [13] δg(z,z) := χ (1) (z,z)g(z,z).…”

Section: Jhep01(2017)024mentioning

confidence: 99%

“…Nevertheless, we follow reference [13] and try to use Noether procedure to calculate the current associated to the master symmetry anyway. We include a local parameter ǫ(z,z) in the transformation of ĝ δg = ǫ(z,z)χ (1) g.…”

Section: Jhep01(2017)024mentioning

confidence: 99%

“…Since this string is a generalization of the usual Z 2 coset to a super-coset with Z 4 symmetry, the ability to lift this symmetry to the super-coset is non-trivial. In this note, we go one step further and show that the pure spinor string in AdS 5 × S 5 admits an extension of the master symmetryδ described by Klose, Loebbert, and Münkler [13]. This symmetry complements the Yangian symmetry, acting as a raising operator on the classical Yangian charges.…”

Section: Introductionmentioning

confidence: 99%

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

Chandı́a

Linch

Vallilo

2017

J. High Energ. Phys.

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Section: Jhep01(2017)024mentioning

confidence: 99%

“…Following Klose, Loebbert, and Münkler [13], we can define a flat deformation of the Maurer-Cartan current by…”

Section: Master Symmetrymentioning

confidence: 99%

“…With this, we are finally in the position to define the "master symmetry" [13] δg(z,z) := χ (1) (z,z)g(z,z).…”

Section: Jhep01(2017)024mentioning

confidence: 99%

Section: Jhep01(2017)024mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Chandı́a

Linch

Vallilo

2017

J. High Energ. Phys.

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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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Introduction

Münkler¹

2018

Springer Theses

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Master symmetry for holographic Wilson loops

Cited by 16 publications

References 30 publications

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

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

Symmetries of Maldacena-Wilson Loops from Integrable String Theory

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