Symmetry defects and orbifolds of two-dimensional Yang–Mills theory

Müller, Lukas; Szabo, Richard J.; Szegedy, Lóránt

doi:10.1007/s11005-021-01476-0

Cited by 1 publication

(2 citation statements)

References 30 publications

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“…Another aspect worth pursuing is the inclusion of defects. Here we show how to T T -deform twodimensional Yang-Mills theory with defects [85].…”

Section: Defectsmentioning

confidence: 99%

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

Santilli,

Szabo,

Tierz

2020

Preprint

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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.

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“…Another aspect worth pursuing is the inclusion of defects. Here we show how to T T -deform twodimensional Yang-Mills theory with defects [85].…”

Section: Defectsmentioning

confidence: 99%

“…Let P −→ Σ be a principal G-bundle and D −→ Σ an Out(G)-bundle on Σ, where Out(G) is the group of outer automorphisms of the Lie group G. Following [85] we define the D-twisted G-bundle P −→ Σ , which is a G -bundle with structure group…”

Section: Defectsmentioning

confidence: 99%

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

Santilli,

Szabo,

Tierz

2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Symmetry defects and orbifolds of two-dimensional Yang–Mills theory

Cited by 1 publication

References 30 publications

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

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

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