RG flows for λ-deformed CFTs

Sagkrioti, Eftychia; Σιάμπος, Κωνσταντίνος; Sfetsos, Konstadinos

doi:10.1016/j.nuclphysb.2018.03.013

Cited by 20 publications

(48 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The spin connection and the torsion for the action (5.1) have been found in Eqs. (2.14) and (2.16) of [53]. For an isotropic coupling λ ab = λδ ab read…”

Section: Discussionmentioning

confidence: 99%

“…For the two-loop computation, we are going to need the torsionfull spin connection .10) and in terms of components is given by [53]…”

Section: Discussionmentioning

confidence: 99%

“…To proceed we analyze the left-hand side of (A.16), which equals to The one-loop contribution β (1) was analyzed in [53] and we shall present the end result β (1)…”

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

An exact symmetry in λ-deformed CFTs

Georgiou

Sagkrioti

Sfetsos

et al. 2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider λ-deformed current algebra CFTs at level k, interpolating between an exact CFT in the UV and a PCM in the IR. By employing gravitational techniques, we derive the two-loop, in the large k expansion, β-function. We find that this is covariant under a remarkable exact symmetry involving the coupling λ, the level k and the adjoint quadratic Casimir of the group. Using this symmetry and CFT techniques, we are able to compute the Zamolodchikov metric, the anomalous dimension of the bilinear operator and the Zamolodchikov C-function at two-loops in the large k expansion, as exact functions of the deformation parameter. Finally, we extend the above results to λ-deformed parafermionic algebra coset CFTs which interpolate between exact coset CFTs in the UV and a symmetric coset space in the IR.

show abstract

“…The spin connection and the torsion for the action (5.1) have been found in Eqs. (2.14) and (2.16) of [53]. For an isotropic coupling λ ab = λδ ab read…”

Section: Discussionmentioning

confidence: 99%

“…For the two-loop computation, we are going to need the torsionfull spin connection .10) and in terms of components is given by [53]…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

An exact symmetry in λ-deformed CFTs

Georgiou

Sagkrioti

Sfetsos

et al. 2020

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Next we compute the β-function equations for the couplings λ and s. We will follow the background-type method initiated for the λ-deformed models in [22] and applied in full generality in [24]. We choose a particular configuration of the group elements in order to compute the running of couplings.…”

Section: The Rg Flow Equationsmentioning

confidence: 99%

Exact results from the geometry of couplings and the effective action

et al. 2019

View full text Add to dashboard Cite

We invent a method that exploits the geometry in the space of couplings and the known all-loop effective action, in order to calculate the exact in the couplings anomalous dimensions of composite operators for a wide class of integrable σ-models. These involve both self and mutually interacting current algebra theories. We work out the details for important classes of such operators. In particular, we consider the operators built solely from an arbitrary number of currents of the same chirality, the composite operators which factorize into a chiral and an anti-chiral part, as well as those made up of three currents of mixed chirality. Remarkably enough, the anomalous dimensions of the former two sets of operators turn out to vanish. In our approach, loop computations are completely avoided.

show abstract

“…This kind of anisotropic, or XXZ, λ -model has been studied in [195,49,196,197]. Other more general types of λ -models including products of interacting WZW factors have been developed in a sequence of works [198,199,200,201].…”

Section: Multi-parameter λ -Modelsmentioning

confidence: 99%

An Introduction to Generalised Dualities and their Applications to Holography and Integrability

Thompson¹

2019

Proceedings of Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2018)

View full text Add to dashboard Cite

These pedagogical lectures given at the Corfu Summer Institute 2018 review two generalised notions of T-duality, non-Abelian T-duality and Poisson-Lie duality, and their applications. We explain how each of these has seen recent application in the context of holography. Non-Abelian T-duality has been used to construct new holographic dual geometries. Poisson-Lie duality has been used to construct new integrable string sigma-models including the η-and λ -deformations of the AdS 5 × S 5 superstring thought to encode quantum group deformations of holography. We also comment on the doubled worldsheet description that makes such dualities manifest. duality serves to interchange a conservation law, that associated to the U(1) global symmetry of the compact boson θ of radius R, with the Bianchi identity for the dual bosonθ :( 1.3) Just as with bosonisation the connection between the two variables involves derivatives, i.e. the map between variables is a non-local one. Also akin to the Abelian bosonisation, the dual theory can be established through an analogous path integral manipulation 1 known as the Buscher procedure [22,23]. Given the close analogy between T-duality and Abelian bosonisation one might wonder if there is a T-duality equivalent to non-Abelian bosonisation. More specifically, in string theory we are immediately prompted to ask if there is an extension of T-duality to the case of a non-Abelian set of isometries, or even if there are still more exotic notions of T-duality? A secondary question is then, if such dualities exist, what are they useful for? The remainder of these lectures seek to outline some answers to these two questions.Our journey will involve exploring a hierarchy of possible dualities in the following string theory scenarios:

show abstract

RG flows for λ-deformed CFTs

Cited by 20 publications

References 45 publications

An exact symmetry in λ-deformed CFTs

An exact symmetry in λ-deformed CFTs

Exact results from the geometry of couplings and the effective action

An Introduction to Generalised Dualities and their Applications to Holography and Integrability

Contact Info

Product

Resources

About