The one-loop spectral problem of strongly twisted $$ \mathcal{N} $$ = 4 Super Yang-Mills theory

Ipsen, Asger C.; Staudacher, Matthias; Zippelius, Leonard

doi:10.1007/jhep04(2019)044

Cited by 22 publications

(48 citation statements)

References 33 publications

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“…Then we use the generalized gluing conditions (6.18) to fix the parameters in (6.5). In both cases we found perfect agreement with the Asymptotic Bethe Ansatz (ABA) of [9][10][11] at weak coupling. In this section we fix the twist parameters as λ 1 = e i/3 , λ 2 = e −i/3 , λ 3 = e i/2 , λ 4 = e −i/2 .…”

Section: Numerical Testssupporting

confidence: 63%

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The holographic dual of strongly γ-deformed $$ \mathcal{N} $$ = 4 SYM theory: derivation, generalization, integrability and discrete reparametrization symmetry

Gromov

Sever

2020

J. High Energ. Phys.

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Recently, we constructed the first-principle derivation of the holographic dual of N = 4 SYM in the double-scaled γ-deformed limit directly from the CFT side. The dual fishchain model is a novel integrable chain of particles in AdS 5 . It can be viewed as a discretized string and revives earlier string-bit approaches. The original derivation was restricted to the operators built out of one of two types of scalar fields. In this paper, we extend our results to the general operators having any number of scalars of both types, except for a very special case when their numbers are equal. Interestingly, the extended model reveals a new discrete reparametrization symmetry of the "world-sheet", preserving all integrals of motion. We use integrability to formulate a closed system of equations, which allows us to solve for the spectrum of the model in full generality, and present non-perturbative numerical results. We show that our results are in agreement with the Asymptotic Bethe Ansatz of the fishnet model up to the wrapping order at weak coupling.

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Section: Numerical Testssupporting

confidence: 63%

“…3) 10 We remind that M denotes the number of magnons andM number of anti-magnons. The u(1) charges in these notations are J1 = J, J2 = M −M .…”

Section: T-functions and Baxter Tq Relationmentioning

confidence: 99%

The holographic dual of strongly γ-deformed $$ \mathcal{N} $$ = 4 SYM theory: derivation, generalization, integrability and discrete reparametrization symmetry

Gromov

Sever

2020

J. High Energ. Phys.

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show abstract

“…It stands out as a striking example of a nonsupersymmetric and yet integrable planar CFT in four dimensions, with an exactly marginal coupling [3,4] and a nontrivial moduli space of vacua [5]. Because of these features, it has attracted a growing interest over the last few years [2,[6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Moreover, unlike its supersymmetric parent, the theory can be defined in any dimension D [23,24], called here FCFT D , with the Lagrangian…”

mentioning

confidence: 99%

“…There are other types of operators worth being studied, including spinning operators (i.e., with derivatives) and the conjugate scalarsZ;X. While it should be possible to include the former within the excited state TBA formalism, the latter are more elusive, and relate to the logarithmic property of the fishnet CFTs [15,18,66].…”

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confidence: 99%

Thermodynamic Bethe Ansatz for Biscalar Conformal Field Theories in any Dimension

et al. 2020

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We present the TBA equations for the exact spectrum of multi-magnon local operators in the D-dimensional bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of fishnet planar graphs of multiwheel and multispiral type. These graphs probe the two key building blocks of the TBA approach, the magnon dispersion relation and scattering matrix, which we obtain by diagonalizing suitable graph-building operators. We also obtain the dual version of the TBA equations, which relates, in the continuum limit, D-dimensional graphs to two-dimensional sigma models in AdS Dþ1 .

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“…The conserved charges in models 1 and 2 are nilpotent. Nilpotency of the Hamiltonian is a feature of fishnet models as well [17].…”

Section: Class 1 Andmentioning

confidence: 99%

Classifying integrable spin-1/2 chains with nearest neighbour interactions

Leeuw¹,

Pribytok²,

Ryan³

2019

J. Phys. A: Math. Theor.

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We classify all fundamental integrable spin chains with two-dimensional local Hilbert space which have regular R-matrices of difference form. This means that the R-matrix underlying the integrable structures is of the form R(u, v) = R(u − v) and reduces to the permutation operator at some particular point. We find a total of 14 independent solutions, 8 of which correspond to well-known eight or lower vertex models. The remaining 6 models appear to be new and some have peculiar properties such as not being diagonalizable or being nilpotent. Furthermore, for even R-matrices, we find a bijection between solutions of the Yang-Baxter equation and the graded Yang-Baxter equation which extends our results to the graded two-dimensional case.

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The one-loop spectral problem of strongly twisted $$ \mathcal{N} $$ = 4 Super Yang-Mills theory

Cited by 22 publications

References 33 publications

The holographic dual of strongly γ-deformed $$ \mathcal{N} $$ = 4 SYM theory: derivation, generalization, integrability and discrete reparametrization symmetry

The holographic dual of strongly γ-deformed $$ \mathcal{N} $$ = 4 SYM theory: derivation, generalization, integrability and discrete reparametrization symmetry

Thermodynamic Bethe Ansatz for Biscalar Conformal Field Theories in any Dimension

Classifying integrable spin-1/2 chains with nearest neighbour interactions

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