The complete AdS_3 x S^3 x T^4 worldsheet S-matrix

Riccardo Borsato; Olof Ohlsson Sax; Alessandro Sfondrini; Bogdan Stefanski jr

doi:10.1007/JHEP10(2014)066

The complete AdS_3 x S^3 x T^4 worldsheet S-matrix

Riccardo Borsato
, Olof Ohlsson Sax
, Alessandro Sfondrini
, Bogdan Stefanski jr

Sub String Theory, Cosmology and Elementary Particles

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We derive the non-perturbative worldsheet S matrix for fundamental excitations of Type IIB superstring theory on AdS_3 x S^3 x T^4 with Ramond-Ramond flux. To this end, we study the off-shell symmetry algebra of the theory and its representations. We use these to determine the S matrix up to scalar factors and we derive the crossing equations that these scalar factors satisfy. Our treatment automatically includes fundamental massless excitations, removing a long-standing obstacle in using integrability to study the AdS_3/CFT_2 correspondence. The present paper contains a detailed derivation of results first announced in arXiv:1403.4543.

Original language	English
Journal	Journal of High Energy Physics
Volume	66
DOIs	https://doi.org/10.1007/JHEP10(2014)066
Publication status	Published - 2 Jun 2014

Bibliographical note

76 pages. 2 figures. v2: added references and fixed some typos

Keywords

hep-th

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10.1007/JHEP10(2014)066

art%3A10.1007%2FJHEP10%282014%29066Final published version, 1.24 MB

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title = "The complete AdS\_3 x S\textasciicircum{}3 x T\textasciicircum{}4 worldsheet S-matrix",

abstract = "We derive the non-perturbative worldsheet S matrix for fundamental excitations of Type IIB superstring theory on AdS\_3 x S\textasciicircum{}3 x T\textasciicircum{}4 with Ramond-Ramond flux. To this end, we study the off-shell symmetry algebra of the theory and its representations. We use these to determine the S matrix up to scalar factors and we derive the crossing equations that these scalar factors satisfy. Our treatment automatically includes fundamental massless excitations, removing a long-standing obstacle in using integrability to study the AdS\_3/CFT\_2 correspondence. The present paper contains a detailed derivation of results first announced in arXiv:1403.4543.",

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author = "Riccardo Borsato and Sax, \{Olof Ohlsson\} and Alessandro Sfondrini and jr, \{Bogdan Stefanski\}",

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AU - Borsato, Riccardo

AU - Sax, Olof Ohlsson

AU - Sfondrini, Alessandro

AU - jr, Bogdan Stefanski

N1 - 76 pages. 2 figures. v2: added references and fixed some typos

PY - 2014/6/2

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N2 - We derive the non-perturbative worldsheet S matrix for fundamental excitations of Type IIB superstring theory on AdS_3 x S^3 x T^4 with Ramond-Ramond flux. To this end, we study the off-shell symmetry algebra of the theory and its representations. We use these to determine the S matrix up to scalar factors and we derive the crossing equations that these scalar factors satisfy. Our treatment automatically includes fundamental massless excitations, removing a long-standing obstacle in using integrability to study the AdS_3/CFT_2 correspondence. The present paper contains a detailed derivation of results first announced in arXiv:1403.4543.

AB - We derive the non-perturbative worldsheet S matrix for fundamental excitations of Type IIB superstring theory on AdS_3 x S^3 x T^4 with Ramond-Ramond flux. To this end, we study the off-shell symmetry algebra of the theory and its representations. We use these to determine the S matrix up to scalar factors and we derive the crossing equations that these scalar factors satisfy. Our treatment automatically includes fundamental massless excitations, removing a long-standing obstacle in using integrability to study the AdS_3/CFT_2 correspondence. The present paper contains a detailed derivation of results first announced in arXiv:1403.4543.

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U2 - 10.1007/JHEP10(2014)066

DO - 10.1007/JHEP10(2014)066

M3 - Article

SN - 1126-6708

VL - 66

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

ER -

The complete AdS_3 x S^3 x T^4 worldsheet S-matrix

Abstract

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