Work

Generalized supergravity equations for the WZW model

Year: 2024

Type: article

Abstract: Generalized supergravity equations (GSEs) were originally proposed as a modification of the standard IIB supergravity equations to satisfy the background of η -deformed A d S 5 × S 5 introduced by Arutyunov et al. In this study, we proceed to write down the GSEs for the Wess-Zumino-Witten (WZW) models based on Lie groups . First, we simplify the GSEs for the WZW model by imposing the conditions for vanishing of the one-loop beta function equations. Then, by introducing an Ansatz for the Killing vector field I , it is shown that the Killing equation L I G μ ν = 0 is held. In addition, we introduce a generalized Killing vector such that the existence of a solution to the GSEs requires that this vector be light-like. In this way, we solve the simplified GSEs for the WZW models constructed on Lie groups up to dimension five. Unfortunately, two of the groups do not have light-like vectors and therefore do not admit the GSEs.

Source: Physics Letters B

DOI: 10.1016/j.physletb.2024.139159

Authors: Ali Eghbali, Simin Ghasemi-Sorkhabi, Adel Rezaei-Aghdam

Institution: Azarbaijan Shahid Madani University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Azarbaijan Shahid Madani University

Award: G4047321443