Killing spinors from classical r-matrices

Orlando, Domenico; Reffert, Susanne; Sekiguchi, Yuta; Yoshida, Kentaroh (2018). Killing spinors from classical r-matrices. Journal of physics. A - mathematical and theoretical, 51(39), p. 395401. Institute of Physics Publishing IOP 10.1088/1751-8121/aad8c2

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The Yang–Baxter deformation (yb deformation) is a systematic way of performing integrable deformations of 2D symmetric non-linear sigma models. The deformations can be labeled by classical r-matrices satisfying the classical yb equation. This yb deformation is also applicable to type IIB superstring theory defined on AdS. In this case, a simple class of yb deformations is associated with TsT transformations of string backgrounds. The data of this transformation is encoded in an antisymmetric bi-vector Θ (which is often called β field or non-commutativity parameter). In this article, we give a simple recipe for obtaining the explicit expression for the Killing spinors of the TsT transformed background starting from Θ. We moreover discuss the M-theory equivalent of the TsT transformation, allowing us to also give Killing spinors of 11D backgrounds. We discuss examples of TsT transformed backgrounds starting from flat space, and . We find that in this way we can relate the Ω-deformation to yb deformations.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Orlando, Domenico; Reffert, Susanne and Sekiguchi, Yuta

Subjects:

500 Science > 530 Physics

ISSN:

1751-8113

Publisher:

Institute of Physics Publishing IOP

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

30 Aug 2018 14:57

Last Modified:

29 Oct 2019 07:11

Publisher DOI:

10.1088/1751-8121/aad8c2

ArXiv ID:

1805.00948

BORIS DOI:

10.7892/boris.119675

URI:

https://boris.unibe.ch/id/eprint/119675

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