<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math>
 deformation of the compactified boson and its interpretation in lattice gauge theory

Beratto, Emanuele; Billó, Marco; Caselle, Michele

doi:10.1103/physrevd.102.014504

Cited by 9 publications

(6 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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.

View full text Add to dashboard Cite

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.

show abstract

Section: Jhep11(2020)086mentioning

confidence: 99%

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

Santilli

Szabo

Tierz

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…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 nonrelativistic 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: Introductionmentioning

confidence: 99%

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

Santilli,

Szabo,

Tierz

2020

Preprint

View full text Add to dashboard Cite

We derive the 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 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 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 Tdeformation decreases the contribution of the Boltzmann entropy.

show abstract

“…Technically it is a quasilinear equation, meaning that the PDE can be written in the form a(x, y, u)ux + b(x, y, u)uy = c(x, y, u), not truly nonlinear. 10 For general solutions with nonzero momenta, see for example section 3 of [50].…”

Section: Jhep09(2021)082mentioning

confidence: 99%

T $$ \overline{T} $$ deformation in SCFTs and integrable supersymmetric theories

Ebert

Sun

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

We calculate the $$ \mathcal{S} $$ S -multiplets for two-dimensional Euclidean $$ \mathcal{N} $$ N = (0, 2) and $$ \mathcal{N} $$ N = (2, 2) superconformal field theories under the T$$ \overline{T} $$ T ¯ deformation at leading order of perturbation theory in the deformation coupling. Then, from these $$ \mathcal{N} $$ N = (0, 2) deformed multiplets, we calculate two- and three-point correlators. We show the $$ \mathcal{N} $$ N = (0, 2) chiral ring’s elements do not flow under the T$$ \overline{T} $$ T ¯ deformation. Specializing to integrable supersymmetric seed theories, such as $$ \mathcal{N} $$ N = (2, 2) Landau-Ginzburg models, we use the thermodynamic Bethe ansatz to study the S-matrices and ground state energies. From both an S-matrix perspective and Melzer’s folding prescription, we show that the deformed ground state energy obeys the inviscid Burgers’ equation. Finally, we show that several indices independent of D-term perturbations including the Witten index, Cecotti-Fendley-Intriligator-Vafa index and elliptic genus do not flow under the T$$ \overline{T} $$ T ¯ deformation.

show abstract

TT¯ deformation of the compactified boson and its interpretation in lattice gauge theory

Cited by 9 publications

References 53 publications

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

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

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

T $$ \overline{T} $$ deformation in SCFTs and integrable supersymmetric theories

Contact Info

Product

Resources

About