Ben Hoare
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View article: Twists of trigonometric sigma models
Twists of trigonometric sigma models Open
A bstract We introduce the ℤ N -twisted trigonometric sigma models, a new class of integrable deformations of the principal chiral model. Starting from 4d Chern-Simons theory on a cylinder, the models are constructed by introducing a ℤ N b…
View article: Supersymmetry and integrability of the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ superstring
Supersymmetry and integrability of the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ superstring Open
We construct a 1-parameter family of Ramond-Ramond fluxes supporting the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ metric with constant dilaton and preserving 8 of the 16 supercharges of the undeformed background. O…
View article: Twists of trigonometric sigma models
Twists of trigonometric sigma models Open
We introduce the $\mathbb{Z}_N$-twisted trigonometric sigma models, a new class of integrable deformations of the principal chiral model. Starting from 4d Chern-Simons theory on a cylinder, the models are constructed by introducing a $\mat…
View article: Gauging the diamond: integrable coset models from twistor space
Gauging the diamond: integrable coset models from twistor space Open
A bstract Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimensions. Along with anti-self-dual Yang-Mills and four-…
View article: Gauging The Diamond: Integrable Coset Models from Twistor Space
Gauging The Diamond: Integrable Coset Models from Twistor Space Open
Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimensions. Along with anti-self-dual Yang-Mills and four-dimensiona…
View article: Integrable deformations from twistor space
Integrable deformations from twistor space Open
Integrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations. Based on ideas of Costello, it has been proposed in work of …
View article: Inequivalent light-cone gauge-fixings of strings on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>AdS</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msup><mml:mi>S</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> backgrounds
Inequivalent light-cone gauge-fixings of strings on backgrounds Open
Light-cone gauge-fixed sigma models on AdSn×Sn backgrounds play an important role in the integrability formulation of the AdS/CFT correspondence. The string spectrum of the sigma model is gauge independent, however the Hamiltonian and scat…
View article: Elliptic deformations of the AdS3 × S3 × T4 string
Elliptic deformations of the AdS3 × S3 × T4 string Open
A bstract With the aim of investigating the existence of an integrable elliptic deformation of strings on AdS 3 × S 3 × T 4 , we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic sigma model on AdS 3 × S 3 in …
View article: Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories
Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories Open
Symmetric space sine-Gordon theories are two-dimensional massive integrable field theories, generalising the sine-Gordon and complex sine-Gordon theories. To study their integrability properties on the real line, it is necessary to introdu…
View article: Inequivalent light-cone gauge-fixings of strings on $AdS_n \times S^n$ backgrounds
Inequivalent light-cone gauge-fixings of strings on $AdS_n \times S^n$ backgrounds Open
Light-cone gauge-fixed sigma-models on $AdS_n\times S^n$ backgrounds play an important role in the integrability formulation of the AdS/CFT correspondence. The string spectrum of the sigma-model is gauge-independent, however the Hamiltonia…
View article: Elliptic deformations of the $\mathsf{AdS}_3 \times \mathsf{S}^3 \times \mathsf{T}^4$ string
Elliptic deformations of the $\mathsf{AdS}_3 \times \mathsf{S}^3 \times \mathsf{T}^4$ string Open
With the aim of investigating the existence of an integrable elliptic deformation of strings on $\mathsf{AdS}_3 \times \mathsf{S}^3 \times \mathsf{T}^4$, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic si…
View article: Integrable Deformations from Twistor Space
Integrable Deformations from Twistor Space Open
Integrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations. Based on ideas of Costello, it has been proposed in work of …
View article: Towards a quadratic Poisson algebra for the subtracted classical monodromy of Symmetric Space Sine-Gordon theories
Towards a quadratic Poisson algebra for the subtracted classical monodromy of Symmetric Space Sine-Gordon theories Open
Symmetric Space Sine-Gordon theories are two-dimensional massive integrable field theories, generalising the Sine-Gordon and Complex Sine-Gordon theories. To study their integrability properties on the real line, it is necessary to introdu…
View article: Bi-η and bi-λ deformations of ℤ4 permutation supercosets
Bi-η and bi-λ deformations of ℤ4 permutation supercosets Open
A bstract Integrable string sigma models on AdS 3 backgrounds with 16 supersymmetries have the distinguishing feature that their superisometry group is a direct product. As a result the deformation theory of these models is particularly ri…
View article: Supersphere non-linear sigma model on the lattice
Supersphere non-linear sigma model on the lattice Open
Two-dimensional O(N)
\n non-linear sigma models are exactly solvable theories and have many applications, from statistical mechanics to their use as QCD toy models. We consider a supersymmetric extension, the non-linear sigma model on the …
View article: Supersphere non-linear sigma model on the lattice
Supersphere non-linear sigma model on the lattice Open
Two-dimensional $O(N)$ non-linear sigma models are exactly solvable theories and have many applications, from statistical mechanics to their use as QCD toy models. We consider a supersymmetric extension, the non-linear sigma model on the s…
View article: Bi-$\\eta$ and bi-$\\lambda$ deformations of $\\mathbb{Z}_4$ permutation\n supercosets
Bi-$\\eta$ and bi-$\\lambda$ deformations of $\\mathbb{Z}_4$ permutation\n supercosets Open
Integrable string sigma models on AdS$_3$ backgrounds with 16 supersymmetries\nhave the distinguishing feature that their superisometry group is a direct\nproduct. As a result the deformation theory of these models is particularly\nrich si…
View article: Integrable supersymmetric deformations of $\rm AdS_3 \times S^3 \times T^4$
Integrable supersymmetric deformations of $\rm AdS_3 \times S^3 \times T^4$ Open
We construct a family of type IIB string backgrounds that are deformations of $\rm AdS_3 \times S^3 \times T^4$ with a "squashed" $\rm AdS_3 \times S^3$ metric supported by a combination of NSNS and RR fluxes. They have global $\rm SU(1,1)…
View article: Integrable deformations of sigma models
Integrable deformations of sigma models Open
In this pedagogical review we introduce systematic approaches to deforming integrable two-dimensional sigma models. We use the integrable principal chiral model and the conformal Wess–Zumino–Witten model as our starting points and explore …
View article: Dual description of η-deformed OSP sigma models
Dual description of η-deformed OSP sigma models Open
We study the dual description of the η-deformed OSP(N|2m) sigma model in the asymptotically free regime (N > 2m + 2). Compared to the case of classical Lie groups, for supergroups there are inequivalent η-deformations corresponding to diff…
View article: Yang–Baxter deformations of the principal chiral model plus Wess–Zumino term
Yang–Baxter deformations of the principal chiral model plus Wess–Zumino term Open
A large class of integrable deformations of the principal chiral model, known as the Yang–Baxter deformations, are governed by skew-symmetric R -matrices solving the (modified) classical Yang–Baxter equation. We carry out a systematic inve…
View article: Integrable sigma models and 2-loop RG flow
Integrable sigma models and 2-loop RG flow Open
Following arXiv:1907.04737, we continue our investigation of the relation between the renormalizability (with finitely many couplings) and integrability in 2d σ- models. We focus on the “λ-model,” an integrable model associated to a group …
View article: On the massless tree-level S-matrix in 2d sigma models
On the massless tree-level S-matrix in 2d sigma models Open
Motivated by the search for new integrable string models, we study the\nproperties of massless tree-level S-matrices for 2d sigma models expanded near\nthe trivial vacuum. We find that, in contrast to the standard massive case,\nthere is n…
View article: Supergravity backgrounds of the η-deformed AdS2 × S2 × T6 and AdS5 × S5 superstrings
Supergravity backgrounds of the η-deformed AdS2 × S2 × T6 and AdS5 × S5 superstrings Open
We construct supergravity backgrounds for the integrable η-deformations of the AdS2 × S2 × T6 and AdS5 × S5 superstring sigma models. The η-deformation is governed by an R-matrix that solves the non-split modified classical Yang-Baxter equ…
View article: Three-parameter integrable deformation of ℤ4 permutation supercosets
Three-parameter integrable deformation of ℤ4 permutation supercosets Open
A three-parameter integrable deformation of ℤ4 permutation supercosets is constructed. These supercosets are of the form Fˆ/F0 where F0 is the bosonic diagonal subgroup of the product supergroup Fˆ=Gˆ×Gˆ. They include the AdS3 × S3 and AdS…
View article: Poisson-Lie duals of the $η$-deformed $\mathrm{AdS}_2 \times \mathrm{S}^2 \times \mathrm{T}^6$ superstring
Poisson-Lie duals of the $η$-deformed $\mathrm{AdS}_2 \times \mathrm{S}^2 \times \mathrm{T}^6$ superstring Open
We investigate Poisson-Lie duals of the $η$-deformed $\mathrm{AdS}_2 \times \mathrm{S}^2 \times \mathrm{T}^6$ superstring. The $η$-deformed background satisfies a generalisation of the type II supergravity equations. We discuss three Poiss…