On quantum deformations of AdS$_{3}$ × S$^{3}$ × T$^{4}$ and mirror duality - INSPIRE

On quantum deformations of AdS $_{3}$ × S $^{3}$ × T $^{4}$ and mirror duality

Fiona K. Seibold
(
- Zurich, ETH and
- Imperial Coll., London
)
,
Stijn J. van Tongeren
(
- Humboldt U., Berlin
)
,
Yannik Zimmermann
(
- Humboldt U., Berlin
)

Jul 6, 2021

36 pages

Published in:

JHEP 09 (2021) 110

Published: Sep 17, 2021

e-Print:

2107.02564 [hep-th]

DOI:

10.1007/JHEP09(2021)110

Report number:

Imperial-TP-FS-2021-01,
HU-EP-21/19

View in:

reference search11 citations

Citations per year

Abstract: (Springer)

We consider various integrable two-parameter deformations of the AdS

_{3}

× S

^{3}

× T

^{4}

superstring with quantum group symmetry. Working on the string worldsheet in light-cone gauge and to quadratic order in fermions, we obtain their common massive tree-level two-body S matrix, which matches the expansion of the conjectured exact q-deformed S matrix. We then analyze the behavior of the exact S matrix under mirror transformation — a double Wick rotation on the worldsheet — and find that it satisfies a mirror duality relation analogous to the distinguished q-deformed AdS

_{5}

× S

^{5}

S matrix in the one parameter deformation limit. Finally, we show that the fermionic q-deformed AdS

_{5}

× S

^{5}

S matrix also satisfies such a relation.

Quantum Groups
String Duality
Sigma Models
AdS-CFT Correspondence
transformation: mirror
S-matrix
deformation
light cone gauge
tree approximation
superstring

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Figures(0)

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