Killing spinors from classical r-matrices
Publisher DOI
Abstract
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.
Date Issued
2018-08-24
Publication Type
Article
Subject(s)
Language(s)
en
Author(s)
Yoshida, Kentaroh |
Journal
Journal of physics. A - mathematical and theoretical
Publisher
Institute of Physics Publishing IOP
ISSN
1751-8113
Access(Rights)
restricted