Bi-η and bi-λ deformations of ℤ$_{4}$ permutation supercosets - INSPIRE

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Bi-η and bi-λ deformations of ℤ $_{4}$ permutation supercosets

Ben Hoare
(
- Durham U.
)
,
Nat Levine
(
- LPENS, Paris and
- ENS, Paris, IPM
)
,
Fiona K. Seibold
(
- Imperial Coll., London
)

Dec 16, 2022

35 pages

Published in:

JHEP 04 (2023) 024

Published: Apr 5, 2023

e-Print:

2212.08625 [hep-th]

DOI:

10.1007/JHEP04(2023)024

Report number:

Imperial-TP-FS-2022-03

View in:

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Abstract: (Springer)

Integrable string sigma models on AdS

_{3}

backgrounds with 16 supersymmetries have the distinguishing feature that their superisometry group is a direct product. As a result the deformation theory of these models is particularly rich since the two supergroups in the product can be deformed independently. We construct bi-η and bi-λ deformations of two classes of ℤ

_{4}

permutation supercoset sigma models, which describe sectors of the Green-Schwarz and pure-spinor string worldsheet theories on type II AdS

_{3}

backgrounds with pure R-R flux. We discuss an important limit of these models when one supergroup is undeformed. The associated deformed supergravity background should preserve 8 supersymmetries and is expected to have better properties than the full bi-deformation. As a step towards investigating the quantum properties of these models, we study the two-loop RG flow of the bosonic truncation of the bi-λ deformation.

Note:

35 pages, published version

Integrable Field Theories
Sigma Models
String Duality
renormalization group: flow
supergravity: background
supersymmetry: 8
supergravity: deformation
anti-de Sitter
sigma model
flux

References(92)

Figures(0)

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