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JHEP, 2014, Issue 4, 002, 23 pages (Mi jhep14)  

$S$-matrix for strings on $\eta$-deformed $\mathrm{AdS_5\times S^5}$

G. Arutyunovab, R. Borsatoba, S. Frolovcdefg

a Institute for Theoretical Physics, Utrecht University, Utrecht, The Netherlands
b Spinoza Institute, Utrecht University, Utrecht, The Netherlands
c Hamilton Mathematics Institute, Trinity College, Dublin 2, Ireland
d Institut für Physik, Humboldt-Universität zu Berlin, Berlin, Germany
e Institut für Mathematik, Humboldt-Universität zu Berlin, Berlin, Germany
f School of Mathematics, Trinity College, Dublin 2, Ireland
g Steklov Mathematical Institute, Moscow

Abstract: We determine the bosonic part of the superstring sigma model Lagrangian on $\eta$-deformed $\mathrm{AdS_5\times S^5}$, and use it to compute the perturbative world-sheet scattering matrix of bosonic particles of the model. We then compare it with the large string tension limit of the $q$-deformed $\mathrm{S}$-matrix and find exact agreement.

Funding Agency Grant Number
Netherlands Organization for Scientific Research VICI 680-47-602
European Research Council 246974
Deutsche Forschungsgemeinschaft SFB 647
Science Foundation Ireland 09/RFP/PHY2142
G. A. and R. B. acknowledge support by the Netherlands Organization for Scientific Research (NWO) under the VICI grant 680-47-602. The work by G. A. and R. B. is also a part of the ERC Advanced grant research programme No. 246974, "Supersymmetry: a window to non-perturbative physics" and of the D-ITP consortium, a program of the NWO that is funded by the Dutch Ministry of Education, Culture and Science (OCW). S. F. is supported by a DFG grant in the framework of the SFB 647 "Raum - Zeit - Materie. Analytische und Geometrische Strukturen" and by the Science Foundation Ireland under Grant 09/RFP/PHY2142.


DOI: https://doi.org/10.1007/JHEP04(2014)002

Full text: https:/.../10.1007%2FJHEP04%282014%29002

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Received: 30.01.2014
Accepted:04.03.2014
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