The plane-wave limit of AdS3×S3×S3×S1

Dei, Andrea; Gaberdiel, Matthias R.; Sfondrini, Alessandro

doi:10.1007/jhep08(2018)097

Cited by 20 publications

(26 citation statements)

References 67 publications

(98 reference statements)

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“…Additionally, it is worth noting that there are ways of fixing light-cone gauge that break all manifest supersymmetry, which nonetheless need to be considered to reproduce the whole spectrum of the model, as it can be seen e.g. from a pp-wave analysis [63].…”

Section: Jhep02(2019)072mentioning

confidence: 99%

“…ref. [63]. We introduce these quantities, as well as fix our notations for the background and string action, in section 2.…”

Section: Jhep02(2019)072mentioning

confidence: 99%

“…We list the spins of the bosonic excitations W, X, Y, Z and of their conjugate, as well as of the eight physical fermions of the Green-Schwarz string, see ref. [63]. Spins are quantised in integers and half-integers for bosons and fermions, respectively.…”

Section: The Perturbative S Matrixmentioning

confidence: 99%

“…which are quantised, we take the masses of bosons and fermions to be the same as in the pp-wave limit [63], see table 1. Let us emphasise once more that, when ϑ = ϕ, the masses of the bosons and those of the fermions are different.…”

Section: All-loop S Matrix and Asymptotic Bethe Ansatzmentioning

confidence: 99%

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Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model

Dei¹,

Sfondrini²

2019

J. High Energ. Phys.

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We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS AdS 3 ×S 3 ×S 3 ×S 1. We show that it is proportional to the identity and that it takes the same form as for AdS 3 × S 3 × T 4 and for flat space. Based on this, we make a conjecture for the exact worldsheet S matrix and derive the mirror thermodynamic Bethe ansatz (TBA) equations describing the spectrum. Despite a non-trivial vacuum energy, they can be solved in closed form and coincide with a simple set of Bethe ansatz equations-again much like AdS 3 × S 3 × T 4 and flat space. This suggests that the model may have an integrable spin-chain interpretation. Finally, as a check of our proposal, we compute the spectrum from the worldsheet CFT in the case of highest-weight representations of the underlying Kač-Moody algebras, and show that the mirror-TBA prediction matches it on the nose.

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Section: Jhep02(2019)072mentioning

confidence: 99%

“…ref. [63]. We introduce these quantities, as well as fix our notations for the background and string action, in section 2.…”

Section: Jhep02(2019)072mentioning

confidence: 99%

Section: The Perturbative S Matrixmentioning

confidence: 99%

Section: All-loop S Matrix and Asymptotic Bethe Ansatzmentioning

confidence: 99%

See 2 more Smart Citations

Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model

Dei¹,

Sfondrini²

2019

J. High Energ. Phys.

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“…Such a B-field plays an important role in particular in AdS3/CFT2[67][68][69] where they allow for a particularly simple exact S matrix[24,25,27,70].…”

mentioning

confidence: 99%

TT¯ deformations as TsT transformations

Sfondrini

Tongeren

2020

Phys. Rev. D

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The relationship between T T deformations and the uniform light-cone gauge, first noted in arXiv:1804.01998, provides a powerful generating technique for deformed models. We recall this construction, distinguishing between changes of the gauge frame, which do not affect the theory, and genuine deformations. We investigate the geometric interpretation of the latter and argue that they affect the global features of the geometry before gauge fixing. Exploiting a formal relation between uniform light-cone gauge and static gauge in a T-dual frame, we interpret such a change as a TsT transformation involving the two light-cone coordinates. In the static-gauge picture, the T T CDD factor then has a natural interpretation as a Drinfel'd-Reshetikhin twist of the worldsheet S matrix. To illustrate these ideas, we find the geometries yielding a T T deformation of the worldsheet S matrix of pp-wave and Lin-Lunin-Maldacena backgrounds. arXiv:1908.09299v2 [hep-th]

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Free fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT

Leeuw

Paletta

Pribytok

et al. 2021

J. High Energ. Phys.

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In this paper we first demonstrate explicitly that the new models of integrable nearest-neighbour Hamiltonians recently introduced in PRL 125 (2020) 031604 [36] satisfy the so-called free fermion condition. This both implies that all these models are amenable to reformulations as free fermion theories, and establishes the universality of this condition. We explicitly recast the transfer matrix in free fermion form for arbitrary number of sites in the 6-vertex sector, and on two sites in the 8-vertex sector, using a Bogoliubov transformation. We then put this observation to use in lower-dimensional instances of AdS/CFT integrable R-matrices, specifically pure Ramond-Ramond massless and massive AdS3, mixed-flux relativistic AdS3 and massless AdS2. We also attack the class of models akin to AdS5 with our free fermion machinery. In all cases we use the free fermion realisation to greatly simplify and reinterpret a wealth of known results, and to provide a very suggestive reformulation of the spectral problem in all these situations.

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The plane-wave limit of AdS3×S3×S3×S1

Cited by 20 publications

References 67 publications

Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model

Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model

TT¯ deformations as TsT transformations

Free fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT

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