Confining strings, infinite statistics, and integrability

Donahue, John C.; Dubovsky, Sergei

doi:10.1103/physrevd.101.081901

Cited by 11 publications

(18 citation statements)

References 64 publications

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“…Note that the dashed line in (5.7) that attaches the defect operator O defect to L, can be a non-simple (composite) line but it does not include the identity line in its decomposition into simple lines. 22 Therefore, when the line L is a closed loop, the last term in (5.7) becomes a tadpole which vanishes and we recover equation (5.5). The vanishing of tadpole was proved in [44] by assuming that all the topological lines act on the local operators faithfully.…”

Section: Jhep03(2021)103supporting

confidence: 64%

“…In this paper we focus on the massless adjoint theory or the theory with a small mass. There are also many interesting questions about the theory at large mass which have been recently studied in[22,23].2 Many applications of anomalies involving one-form symmetries have been studied recently in diverse dimensions and situations. See[2,5,6,9,[24][25][26][27][28][29][30][31][32][33] for some examples and additional references.…”

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confidence: 99%

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Symmetries and strings of adjoint QCD2

Komargodski

Ohmori

Roumpedakis

et al. 2021

J. High Energ. Phys.

170

149

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We revisit the symmetries of massless two-dimensional adjoint QCD with gauge group SU(N). The dynamics is not sufficiently constrained by the ordinary symmetries and anomalies. Here we show that the theory in fact admits ∼ 22N non-invertible symmetries which severely constrain the possible infrared phases and massive excitations. We prove that for all N these new symmetries enforce deconfinement of the fundamental quark. When the adjoint quark has a small mass, m ≪ gYM, the theory confines and the non-invertible symmetries are softly broken. We use them to compute analytically the k-string tension for N ≤ 5. Our results suggest that the k-string tension, Tk, is Tk ∼ |m| sin(πk/N) for all N. We also consider the dynamics of adjoint QCD deformed by symmetric quartic fermion interactions. These operators are not generated by the RG flow due to the non-invertible symmetries, thus violating the ordinary notion of naturalness. We conjecture partial confinement for the deformed theory by these four-fermion interactions, and prove it for SU(N ≤ 5) gauge theory. Comparing the topological phases at zero and large mass, we find that a massless particle ought to appear on the string for some intermediate nonzero mass, consistent with an emergent supersymmetry at nonzero mass. We also study the possible infrared phases of adjoint QCD allowed by the non-invertible symmetries, which we are able to do exhaustively for small values of N. The paper contains detailed reviews of ideas from fusion category theory that are essential for the results we prove.

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Section: Jhep03(2021)103supporting

confidence: 64%

mentioning

confidence: 99%

Symmetries and strings of adjoint QCD2

Komargodski

Ohmori

Roumpedakis

et al. 2021

J. High Energ. Phys.

170

149

View full text Add to dashboard Cite

show abstract

“…A very interesting property of the zigzag model is that it leads to the shock wave phase shift (2), which also describes massless T T deformed theories. However, it looks likely that the physics of the zigzag model is somewhat different.…”

Section: Discussionmentioning

confidence: 99%

“…This is exactly the situation considered in the present paper. We show here how to quantize the zigzag model, which is a relativistic N -body maximally superintegrable mechanical system recently identified in [2,3]. As we will see, even though the classical zigzag model is embarrassingly simple, it is surprisingly subtle to construct its proper quantization.…”

Section: Introductionmentioning

confidence: 89%

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Quantization of the Zigzag Model

Donahue,

Dubovsky

2022

Preprint

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The zigzag model is a relativistic integrable N -body system describing the leading high-energy semiclassical dynamics on the worldsheet of long confining strings in massive adjoint two-dimensional QCD. We discuss quantization of this model. We demonstrate that to achieve a consistent quantization of the model it is necessary to account for the non-trivial geometry of phase space. The resulting Poincaré invariant integrable quantum theory is a close cousin of T T deformed models.

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Quantization of the zigzag model

Donahue

Dubovsky

2022

J. High Energ. Phys.

Self Cite

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The zigzag model is a relativistic integrable N-body system describing the leading high-energy semiclassical dynamics on the worldsheet of long confining strings in massive adjoint two-dimensional QCD. We discuss quantization of this model. We demonstrate that to achieve a consistent quantization of the model it is necessary to account for the non-trivial geometry of phase space. The resulting Poincaré invariant integrable quantum theory is a close cousin of $$ T\overline{T} $$ T T ¯ deformed models.

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Confining strings, infinite statistics, and integrability

Cited by 11 publications

References 64 publications

Symmetries and strings of adjoint QCD2

Symmetries and strings of adjoint QCD2

Quantization of the Zigzag Model

Quantization of the zigzag model

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