# Integrable S-matrices, massive and massless modes and the AdS2 × S2 superstring

@article{Hoare2014IntegrableSM, title={Integrable S-matrices, massive and massless modes and the AdS2 × S2 superstring}, author={Ben Hoare and Antonio Pittelli and Alessandro Torrielli}, journal={Journal of High Energy Physics}, year={2014}, volume={2014}, pages={1-41} }

A bstractWe derive the exact S-matrix for the scattering of particular representations of the centrally-extended psu1|12$$ \mathfrak{p}\mathfrak{s}\mathfrak{u}{\left(1\Big|1\right)}^2 $$ Lie superalgebra, conjectured to be related to the massive modes of the light-cone gauge string theory on AdS2 × S2 × T6. The S-matrix consists of two copies of a centrally-extended psu1|1$$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(1\Big|1\right) $$ invariant S-matrix and is in agreement with the tree-level…

## 44 Citations

### Poisson-Lie duals of the η-deformed AdS2 × S2 × T6 superstring

- MathematicsJournal of High Energy Physics
- 2018

A bstractWe investigate Poisson-Lie duals of the η-deformed AdS2 ×S2 ×T6 superstring. The η-deformed background satisfies a generalisation of the type II supergravity equations. We discuss three…

### The S-matrix algebra of the AdS 2 × S 2 superstring

- Mathematics, Physics
- 2016

In this paper we find the Yangian algebra responsible for the integrability of the AdS2 × S×T 6 superstring in the planar limit. We demonstrate the symmetry of the corresponding exact S-matrix in the…

### Geometry of massless scattering in integrable superstring

- MathematicsJournal of High Energy Physics
- 2019

A bstractWe consider the action of the q-deformed Poincaré superalgebra on the massless non-relativistic R-matrix in ordinary (undeformed) integrable AdS2 × S2 × T6 type IIB superstring theory. The…

### Spectrum and Quantum Symmetries of the ${\rm AdS}_5 \times {\rm S}^5$ Superstring

- Physics
- 2015

The the duality between ${\cal N}=4$ SYM and the AdS$_5\times\;$S$^5$ superstring appears to enjoy quantum integrability in the planar limit, which allowed to devise powerful methods ostensibly…

### The full Quantum Spectral Curve for AdS4/CFT3

- Physics, Mathematics
- 2017

A bstractThe spectrum of planar N$$ \mathcal{N} $$ = 6 superconformal Chern-Simons theory, dual to type IIA superstring theory on AdS4 × CP3, is accessible at finite coupling using integrability.…

### The S-matrix algebra of the AdS2 X S2 superstring

- Mathematics, Physics
- 2015

In this paper we find the Yangian algebra responsible for the integrability of the AdS2 X S2 X T^6 superstring in the planar limit. We demonstrate the symmetry of the corresponding exact S-matrix in…

### q-Poincaré invariance of the AdS3/CFT2 R-matrix

- Mathematics
- 2018

We consider the exact R-matrix of AdS3/CFT2, which is the building block for describing
the scattering of worldsheet excitations of the light-cone gauge-fixed backgrounds AdS3 ×
S3 × T4 and AdS3 ×…

### One- and two-loop checks for the AdS3 × S3 × T 4 superstring with mixed flux

- Physics
- 2015

We compute the one-loop worldsheet S-matrix for the superstring in AdS3 × S3 × T 4 supported by a combination of RR and NSNS flux in the massive sector. In the appropriate regularization scheme it…

### Prepared for submission to JHEP Geometry of Massless Scattering in Integrable Superstring

- Mathematics
- 2019

We consider the action of the q-deformed Poincaré superalgebra on the massless non-relativistic R-matrix in ordinary (undeformed) integrable AdS2×S×T 6 type IIB superstring theory. The boost…

## References

SHOWING 1-10 OF 87 REFERENCES

### Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS5×S5 superstring theory

- Physics
- 2011

### AdS3 × S3 × M4 string S-matrices from unitarity cuts

- Mathematics
- 2014

A bstractContinuing the program initiated in arXiv:1304.1798 we investigate unitarity methods applied to two-dimensional integrable field theories. The one-loop computation is generalized to…

### On string theory on AdS3×S3×T4 with mixed 3-form flux: Tree-level S-matrix

- Physics, Mathematics
- 2013

### On string S-matrix, bound states and TBA

- Physics
- 2007

The study of finite J effects for the light-cone AdS5???S5 superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It…

### Anti-de Sitter space and holography

- Physics
- 1998

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of…

### The AdS 5 ×S 5 superstring worldsheet S matrix and crossing symmetry

- Computer Science
- 2006

An algebraic way to implement crossing relations for the AdS{sub 5}xS{sup 5} superstring worldsheet S matrix is proposed and generalized rapidities living on the universal cover of the parameter space which is constructed through an auxillary, coupling-constant dependent, elliptic curve.

### Classical and quantum integrability in AdS2/CFT1

- Physics
- 2013

A bstractWe investigate the type IIA string on AdS2 × S2 × T6 supported by RR-flux which describes the gravitational side of the AdS2/CFT1 correspondence. While the four-dimensional part AdS2 × S2…

### Finite-gap equations for strings on AdS3 × S3 × T4 with mixed 3-form flux

- Mathematics
- 2014

A bstractWe study superstrings on AdS3 × S3 × T4 supported by a combination of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz three form fluxes, and write down a set of finite-gap equations that…