Correlation functions of CFTs on a torus with a 
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 deformation

He, Song; Sun, Yuan

doi:10.1103/physrevd.102.026023

Cited by 53 publications

(34 citation statements)

References 75 publications

(133 reference statements)

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“…As a result, more physical quantities can be computed. It would be interesting to compute physical quantities such as the spectrum [1,2], partition functions [95][96][97][98][99][100], and correlation functions [22,[101][102][103][104][105][106][107] more explicitly in these cases.…”

Section: Jhep04(2021)186mentioning

confidence: 99%

Geometrizing non-relativistic bilinear deformations

Hansen

Jiang

2021

J. High Energ. Phys.

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We define three fundamental solvable bilinear deformations for any massive non-relativistic 2d quantum field theory (QFT). They include the $$ \mathrm{T}\overline{\mathrm{T}} $$ T T ¯ deformation and the recently introduced hard rod deformation. We show that all three deformations can be interpreted as coupling the non-relativistic QFT to a specific Newton-Cartan geometry, similar to the Jackiw-Teitelboim-like gravity in the relativistic case. Using the gravity formulations, we derive closed-form deformed classical Lagrangians of the Schrödinger model with a generic potential. We also extend the dynamical change of coordinate interpretation to the non-relativistic case for all three deformations. The dynamical coordinates are then used to derive the deformed classical Lagrangians and deformed quantum S-matrices.

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Section: Jhep04(2021)186mentioning

confidence: 99%

Geometrizing non-relativistic bilinear deformations

Hansen

Jiang

2021

J. High Energ. Phys.

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“…Moreover, the original exact boundary action of Chern-Simons AdS 3 gravity can be applied to compute the four-point functions in the light-light and heavy-light limit [35]. Recently, many studies have been devoted to the correlators in general TT deformed CFTs [44][45][46][47][48]. It would be interesting to compute correlators in our deformed model and compare them with these results.…”

Section: One-loop Torus Partition Functionmentioning

confidence: 99%

$$T\bar{T}$$ deformation of chiral bosons and Chern–Simons $$\hbox {AdS}_3$$ gravity

Ouyang

Shu

2020

Eur. Phys. J. C

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We study the $$T\bar{T}$$ T T ¯ deformation of the chiral bosons and show the equivalence between the chiral bosons of opposite chiralities and the scalar fields at the Hamiltonian level under the deformation. We also derive the deformed Lagrangian of more generic theories which contain an arbitrary number of chiral bosons to all orders. By using these results, we derive the $$T\bar{T}$$ T T ¯ deformed boundary action of the $$\hbox {AdS}_3$$ AdS 3 gravity theory in the Chern–Simons formulation. We compute the deformed one-loop torus partition function, which satisfies the $$T\bar{T}$$ T T ¯ flow equation up to the one-loop order. Finally, we calculate the deformed stress–energy tensor of a solution describing a BTZ black hole in the boundary theory, which coincides with the boundary stress–energy tensor derived from the BTZ black hole with a finite cutoff.

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“…Generalized T T -deformations were discussed in [26][27][28], while the extensions to higher-dimensional field theories is considered by [29] using holography, and more recently in [30] from direct analysis of the renormalization group flow equation. Other facets of the perturbation by the T T operator considered recently include the study of the modular properties of the partition functions of deformed theories [31,32], the extension of the T T -deformation to non-relativistic systems [33], and correlation functions in conformal field theories on curved manifolds [34,35]. A bridge between the Polyakov loop and the T T -deformation of a bosonic field theory has been established in [36].…”

Section: Jhep11(2020)086mentioning

confidence: 99%

$$ T\overline{T} $$-deformation of q-Yang-Mills theory

Santilli

Szabo

Tierz

2020

J. High Energ. Phys.

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We derive the $$ T\overline{T} $$ T T ¯ -perturbed version of two-dimensional q-deformed Yang-Mills theory on an arbitrary Riemann surface by coupling the unperturbed theory in the first order formalism to Jackiw-Teitelboim gravity. We show that the $$ T\overline{T} $$ T T ¯ -deformation results in a breakdown of the connection with a Chern-Simons theory on a Seifert manifold, and of the large N factorization into chiral and anti-chiral sectors. For the U(N) gauge theory on the sphere, we show that the large N phase transition persists, and that it is of third order and induced by instantons. The effect of the $$ T\overline{T} $$ T T ¯ -deformation is to decrease the critical value of the ’t Hooft coupling, and also to extend the class of line bundles for which the phase transition occurs. The same results are shown to hold for (q, t)-deformed Yang-Mills theory. We also explicitly evaluate the entanglement entropy in the large N limit of Yang-Mills theory, showing that the $$ T\overline{T} $$ T T ¯ -deformation decreases the contribution of the Boltzmann entropy.

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Correlation functions of CFTs on a torus with a TT¯ deformation

Cited by 53 publications

References 75 publications

Geometrizing non-relativistic bilinear deformations

Geometrizing non-relativistic bilinear deformations

$$T\bar{T}$$ deformation of chiral bosons and Chern–Simons $$\hbox {AdS}_3$$ gravity

$$ T\overline{T} $$-deformation of q-Yang-Mills theory

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