Constraining integrable AdS/CFT with factorized scattering

Wulff, Linus

doi:10.1007/jhep04(2019)133

Cited by 20 publications

(24 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Despite this issue, this solution has some interesting properties that make it stand out from others belonging to this class of geometries. For instance, it was shown to be an integrable background [19] as opposed to the generic "smooth" non-singular solutions of the large class of Gaiotto-Maldacena geometries [20,21]. A detailed study of the field theory dual of the Sfetsos-Thompson solution including a completion to the geometry can be found in [18].…”

Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Spin-2 excitations in Gaiotto-Maldacena solutions

Ίτσιος

Penín

Zacarías

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

In this paper we study spin-2 excitations for a class of N = 2 supersymmetric solutions of type-IIA supergravity found by Gaiotto and Maldacena. The mass spectrum of these excitations can be derived by solving a second order partial differential equation. As specific examples of this class we consider the Abelian and non-Abelian T-dual versions of the AdS 5 × S 5 and we study the corresponding mass spectra. For the modes that do not "feel" the (non-)Abelian T-duality transformation we provide analytic formulas for the masses, while for the rest we were only able to derive the spectra numerically. The numerical values that correspond to large masses are compared with WKB approximate formulas. We also find a lower bound for the masses. Finally, we study the field theoretical implications of our results and propose dual spin-2 operators. a

show abstract

Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Spin-2 excitations in Gaiotto-Maldacena solutions

Ίτσιος

Penín

Zacarías

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…(2.43) is integrable (at least classically in its bosonic sector) as a consequence of the canonical transformation corresponding to non-Abelian T-duality. However, there is good evidence (numerical and analytic) that once the quiver is resolved with a flavour group as above this geometry, or indeed the generic GM geometry, ceases to be integrable [108] (see also [109] for further recent remarks on non-integrability in GM geometries).…”

Section: Seed Solutionmentioning

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

“…On another approach, S-matrix factorization on the worldsheet theory of the string was used to provide certain conditions of non-integrability, [27][28][29][30], while very recently a reconciliation began to arise between both non-integrability tools, [31].…”

Section: Introductionmentioning

confidence: 99%

Non-integrability on AdS3 supergravity backgrounds

Filippas

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We investigate classical integrability on two recently discovered classes of backgrounds in massive IIA supergravity. These vacua are of the form AdS 3 × S 2 × R × CY 2 , they preserve small N = (0, 4) supersymmetry and are associated with D8−D6−D4−D2 Hanany-Witten brane setups. We choose an appropriate string embedding and use differential Galois theory on its associated Hamiltonian system, intending to produce the conditions under which Liouvillian solutions may occur. By constraining the parameters of the system according to the consistency of the associate brane setups we prove that no such conditions exist, yielding the complete non-integrability of these vacua. That is, up to the trivial cases where the background reduces to the Abelian and non-Abelian T-dual of AdS 3 × S 3 × T 4 .

show abstract

Constraining integrable AdS/CFT with factorized scattering

Cited by 20 publications

References 54 publications

Spin-2 excitations in Gaiotto-Maldacena solutions

Spin-2 excitations in Gaiotto-Maldacena solutions

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

Non-integrability on AdS3 supergravity backgrounds

Contact Info

Product

Resources

About