From QCD Strings to WZW

Donahue, John C.; Dubovsky, Sergei; Hernández-Chifflet, Guzmán; Monin, Sergey

doi:10.1007/jhep03(2019)120

Cited by 4 publications

(3 citation statements)

References 60 publications

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“…However, the analysis of lattice data provides a number of tantalizing hints supporting this program. This motivated a proposal for an integrable approximation-the Axionic String Ansatz (ASA)-both at D = 3 and D = 4 [4,17,25,26].…”

Section: Introductionmentioning

confidence: 99%

Confining strings, infinite statistics, and integrability

Donahue

Dubovsky

2020

Phys. Rev. D

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We study confining strings in massive adjoint two-dimensional chromodynamics. Off-shell, as a consequence of zigzag formation, the resulting worldsheet theory provides a non-trivial dynamical realization of infinite quon statistics. Taking the high energy limit we identify a remarkably simple and novel integrable relativistic N -body system. Its symmetry algebra contains an additional "shadow" Poincaré subalgebra. This model describes the N -particle subsector of a TT -deformed massless fermion.

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Section: Introductionmentioning

confidence: 99%

Confining strings, infinite statistics, and integrability

Donahue

Dubovsky

2020

Phys. Rev. D

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“…Another possible motivation is related to the search for new integrable 2d σ-models using S-matrix based criteria as in the massive case. If one expands near a trivial σmodel vacuum in flat 2d space one gets massless scattering amplitudes which, in general, suffer from IR ambiguities [4,51]. If instead one considers the σ-model on AdS 2 then its coordinate-space boundary correlators are better defined and one may try to find the analogs of the standard integrability constraints (S-matrix factorization and no particle creation) directly in terms of them.…”

Section: Discussionmentioning

confidence: 99%

Boundary correlators in WZW model on AdS2

Beccaria

Jiang

Tseytlin

2020

J. High Energ. Phys.

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Boundary correlators of elementary fields in some 2d conformal field theories defined on AdS 2 have a particularly simple structure. For example, the correlators of the Liouville scalar happen to be the same as the correlators of the chiral component of the stress tensor on a plane restricted to the real line. Here we show that an analogous relation is true also in the WZW model: boundary correlators of the WZW scalars have the same structure as the correlators of chiral Kac-Moody currents. This is checked at the level of the tree and one-loop Witten diagrams in AdS 2. We also compute some tree-level correlators in a generic σ-model defined on AdS 2 and show that they simplify only in the WZW case where an extra Kac-Moody symmetry appears. In particular, the terms in 4point correlators having logarithmic dependence on 1d cross-ratio cancel only at the WZW point. One motivation behind this work is to learn how to compute AdS 2 loop corrections in 2d models with derivative interactions related to the study of correlators of operators on Wilson loops in string theory in AdS.

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“…Another possible motivation is related to the search for new integrable 2d σ-models using S-matrix based criteria as in the massive case. If one expands near a trivial σ-model vacuum in flat 2d space one gets massless scattering amplitudes which, in general, suffer from IR ambiguities [4,51]. If instead one considers the σ-model on AdS 2 then its coordinate-space boundary correlators are better defined and one may try to find the analogs of the standard integrability constraints (S-matrix factorization and no particle creation) directly in terms of them.…”

Section: Discussionmentioning

confidence: 99%

Boundary correlators in WZW model on AdS$_2$

Beccaria,

Jiang,

Tseytlin

2020

Preprint

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Boundary correlators of elementary fields in some 2d conformal field theories defined on AdS 2 have a particularly simple structure. For example, the correlators of the Liouville scalar happen to be the same as the correlators of the chiral component of the stress tensor on a plane restricted to the real line. Here we show that an analogous relation is true also in the WZW model: boundary correlators of the WZW scalars have the same structure as the correlators of chiral Kac-Moody currents. This is checked at the level of the tree and one-loop Witten diagrams in AdS 2 . We also compute some tree-level correlators in a generic σ-model defined on AdS 2 and show that they simplify only in the WZW case where an extra Kac-Moody symmetry appears. In particular, the terms in 4-point correlators having logarithmic dependence on 1d cross-ratio cancel only at the WZW point. One motivation behind this work is to learn how to compute AdS 2 loop corrections in 2d models with derivative interactions related to the study of correlators of operators on Wilson loops in string theory in AdS.

show abstract

From QCD Strings to WZW

Cited by 4 publications

References 60 publications

Confining strings, infinite statistics, and integrability

Confining strings, infinite statistics, and integrability

Boundary correlators in WZW model on AdS2

Boundary correlators in WZW model on AdS$_2$

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