Twistor fishnets

Adamo, Tim; Jaitly, Sumer

doi:10.1088/1751-8121/ab5f88

Cited by 13 publications

(17 citation statements)

References 85 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

See 2 more Smart Citations

Thermodynamic Bethe Ansatz for Biscalar Conformal Field Theories in any Dimension

et al. 2020

View full text Add to dashboard Cite

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 .

show abstract

mentioning

confidence: 99%

“…In fact, if not for the energy, Eqs. (22) and (24), as well as the ones in Eq. (15) which stay untouched, are identical to those for the OðD þ 2Þ σ model.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Thermodynamic Bethe Ansatz for Biscalar Conformal Field Theories in any Dimension

et al. 2020

View full text Add to dashboard Cite

show abstract

“…The model was discovered a few years ago by Gurdogan and Kazakov [2] and since then it is being extensively studied [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22], although the majority of the considerations concern the phase where the conformal symmetry is not broken. The reasons the FCFT has attracted considerable attention are manyfold.…”

Section: Intoduction and Motivationmentioning

confidence: 99%

Aspects of spontaneous breaking of conformal invariance in the Fishnet CFT

Karananas¹

2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

View full text Add to dashboard Cite

“…10) where B(a, b) = Γ(a)Γ(b)/Γ(a + b). In summary we have two sets of Regge poles depending on β 1± .…”

mentioning

confidence: 99%

Regge amplitudes in generalized fishnet and chiral fishnet theories

Chowdhury

Haldar

Sen

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We extend the analysis of [1] to study the Regge trajectories of the Mellin amplitudes of the 0- and 1-magnon correlators of the generalized Fishnet theory in d dimensions and one type of correlators of chiral fishnet theory in 4 dimensions. We develop a systematic procedure to perturbatively study the Regge trajectories and subsequently perform the spectral integral. Our perturbative method is very generic and in principle can be applied to correlators whose perturbative Regge trajectories obey some structural conditions which we list down. Our d dimensional results reduce to previously known results in d = 4 for 0-magnon and 1-magnon. As a non-trivial check, we show that the results for 1-magnon correlator in d = 8, when evaluated using the exact techniques in [1, 2] are in perfect agreement with our d dimensional perturbative results. We also perturbatively compute the Regge trajectories and Regge-Mellin amplitudes of the chiral fishnet correlator $$ \left\langle \mathrm{Tr}\left[{\phi}_1\left({x}_1\right){\phi}_1\left({x}_2\right)\right]\mathrm{Tr}\left[{\phi}_1^{\dagger}\left({x}_3\right){\phi}_1^{\dagger}\left({x}_4\right)\right]\right\rangle $$ Tr ϕ 1 x 1 ϕ 1 x 2 Tr ϕ 1 † x 3 ϕ 1 † x 4 using the techniques developed in this paper. Since this correlator has two couplings κ and ω, we have obtained closed-form results in the limit κ → 0, ω → 0 with κ/ω held constant. We verify this computation with an independent method of computing the same and obtain perfect agreement.

show abstract

Twistor fishnets

Cited by 13 publications

References 85 publications

Thermodynamic Bethe Ansatz for Biscalar Conformal Field Theories in any Dimension

Thermodynamic Bethe Ansatz for Biscalar Conformal Field Theories in any Dimension

Aspects of spontaneous breaking of conformal invariance in the Fishnet CFT

Regge amplitudes in generalized fishnet and chiral fishnet theories

Contact Info

Product

Resources

About