Type IIA embeddings of D = 5 minimal gauged supergravity via non-Abelian T-duality

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作者
K. C. Matthew Cheung
Rahim Leung
机构
[1] Imperial College London,The Blackett Laboratory
关键词
String Duality; Supergravity Models; AdS-CFT Correspondence;
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摘要
In this paper, we construct explicit Type IIA uplifts of D = 5 minimal gauged supergravity by T-dualising known Type IIB uplifts on N5 = S5, T1,1 and Yp,q along their SU(2) isometries. When the D = 5 gauge field is set to zero, our uplifts recover precisely the known non-Abelian T-duals of the AdS5× N5 solutions. As an application, we obtain new supersymmetric AdS3× Σ × M5 solutions in Type IIA, where Σ=WCPn−n+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \Sigma ={\mathbbm{WCP}}_{\left[{n}_{-},{n}_{+}\right]}^1 $$\end{document} is a weighted projective space. Existing holographic results of T-dualised AdS solutions suggest that our solutions capture features of d = 2 SCFTs with N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = (0, 2) supersymmetry.
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