Towards the All-Loop Worldsheet $S$ Matrix for ${\mathrm{AdS}}_{3}\ifmmode\times\else\texttimes\fi{}{S}^{3}\ifmmode\times\else\texttimes\fi{}{T}^{4}$

Towards the All-Loop Worldsheet $S$ Matrix for ${AdS}_{3} \times S^{3} \times T^{4}$

Riccardo Borsato, Olof Ohlsson Sax, Alessandro Sfondrini, and Bogdan Stefański, Jr.

Phys. Rev. Lett. 113, 131601 – Published 22 September 2014

Abstract

We obtain the all-loop worldsheet $S$ matrix for fundamental excitations on ${AdS}_{3} \times S^{3} \times T^{4}$ by studying the off-shell symmetry algebra of the superspace action in light cone gauge. The massless modes, unaccounted for in earlier works, are automatically included in our treatment. Their exact dispersion relation is found to be nonrelativistic, of giant-magnon form, and their scattering is naturally well defined. This opens the way to a complete investigation of ${AdS}_{3} / {CFT}_{2}$ integrability.

Received 21 April 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.131601

Authors & Affiliations

Riccardo Borsato^1,*, Olof Ohlsson Sax^2,†, Alessandro Sfondrini^1,3,‡, and Bogdan Stefański, Jr.^4,§

¹Institute for Theoretical Physics and Spinoza Institute, Utrecht University, 3508 TD Utrecht, Netherlands
²The Blackett Laboratory, Imperial College, London SW7 2AZ, United Kingdom
³Institut für Mathematik and Institut für Physik, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, 12489 Berlin, Germany
⁴Centre for Mathematical Science, City University London, Northampton Square, London EC1V 0HB, United Kingdom

^*R.Borsato@uu.nl
^†o.olsson-sax@imperial.ac.uk
^‡Alessandro.Sfondrini@physik.hu-berlin.de
^§Bogdan.Stefanski.1@city.ac.uk

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Vol. 113, Iss. 13 — 26 September 2014

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Physical Review Letters

Towards the All-Loop Worldsheet S Matrix for AdS3×S3×T4

Riccardo Borsato, Olof Ohlsson Sax, Alessandro Sfondrini, and Bogdan Stefański, Jr.

Phys. Rev. Lett. 113, 131601 – Published 22 September 2014

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Towards the All-Loop Worldsheet $S$ Matrix for ${AdS}_{3} \times S^{3} \times T^{4}$