Generalised Garfinkle-Vachaspati transform with dilaton

• Published in: Classical and quantum gravity Vol. 36; no. 12; pp. 125008 - 125032
• Main Authors: Chakrabarti, Subhroneel, Mishra, Deepali, Srivastava, Yogesh K, Virmani, Amitabh
• Format: Journal Article
• Language: English
• Published: IOP Publishing 20.06.2019
• Subjects: black hole in string theory; D1-D5 system; travelling wave deformations
• ISSN: 0264-9381; 1361-6382
• DOI: 10.1088/1361-6382/ab1f18

The generalised Garfinkle-Vachaspati transform (GGV) introduced in our previous work (Mishra et al 2018 Gen. Relativ. Gravit. 50 155) is a powerful technique to add hair modes to a class of known D1-D5 solutions. The richest and most interesting examples of D1-D5 geometries involve dilaton and this calls for an extension of the procedure to accommodate for the presence of the dilaton field. In this paper we present such an extended version of the GGV transform. We explore this generalisation in ten-dimensions with the R-R or NS-NS 2-form field and relate the two set-ups via S-duality. In the context of the D1-D5 system, this generalisation allows us to add travelling wave deformations on solutions beyond minimal six-dimensional supergravity lifted to IIB supergravity. We work out travelling wave deformations involving the torus directions on a class of supersymmetric D1-D5-P geometries. We also explore applications of our technique to the F1-P system.