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% Abstract TEMPLATE for Conference on Rings and Polynomials in Graz 2025
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\title{Supersymmetric Null and Timelike Warped $AdS$ and Strings in $D=3$, $N=2$ Gauged Supergravity and Their Uplift to $D=6$}

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\author{Ceren Ayşe {\sc Deral}}

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\noindent
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% abstract
We classify and construct supersymmetric solutions of D=3, N=2 gauged
supergravity extended with a Fayet-Iliopoulos term \cite{Abou-Zeid:2001inc}. Null and timelike warped AdS spacetimes are seen among them. From the first one, a well-defined black hole can be obtained via periodic identification.
We also find charged string solutions that interpolate between two supersymmetric AdS or Minkowski extrema of the scalar potential, one of which corresponds to a horizon with a singularity behind it, and the other determines the asymptotic geometry.
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\noindent
% email: 
ceren.deral@bogazici.edu.tr
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\vspace{3ex}
\noindent
% institution (including address):
Boğaziçi University \\
34342 Bebek Beşiktaş \\
Istanbul Türkiye \\

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% references
% If you need to give references use the following bibitems


\begin{thebibliography}{9}
%\cite{Abou-Zeid:2001inc}
\bibitem{Abou-Zeid:2001inc}
M.~Abou-Zeid and H.~Samtleben,
%``Chern-Simons vortices in supergravity,''
Phys. Rev. D \textbf{65}, 085016 (2002)
%doi:10.1103/PhysRevD.65.085016
[arXiv:hep-th/0112035 [hep-th]].
%19 citations counted in INSPIRE as of 05 Dec 2025
%\cite{Deger:2002hv}
\bibitem{Deger:2002hv}
N.~S.~Deger,
%``Renormalization group flows from D = 3, N=2 matter coupled gauged supergravities,''
JHEP \textbf{11}, 025 (2002)
%doi:10.1088/1126-6708/2002/11/025
[arXiv:hep-th/0209188 [hep-th]].
%27 citations counted in INSPIRE as of 05 Dec 2025
%\cite{Deger:2016vrn}
\bibitem{Deger:2016vrn}
N.~S.~Deger and G.~Moutsopoulos,
%``Supersymmetric solutions of $N=(2,0)$ Topologically Massive Supergravity,''
Class. Quant. Grav. \textbf{33}, no.15, 155006 (2016)
%doi:10.1088/0264-9381/33/15/155006
[arXiv:1602.07263 [hep-th]].
%15 citations counted in INSPIRE as of 05 Dec 2025
\bibitem{Tod1}
K.~P.~Tod,
%``All Metrics Admitting Supercovariantly Constant Spinors,''
Phys. Lett. B \textbf{121}, 241-244 (1983)
%doi:10.1016/0370-2693(83)90797-9
%314 citations counted in INSPIRE as of 10 Jan 2025
%\cite{Tod:1995jf}
\bibitem{Tod2}
K.~P.~Tod,
%``More on supercovariantly constant spinors,''
Class. Quant. Grav. \textbf{12}, 1801-1820 (1995)
%doi:10.1088/0264-9381/12/7/020
%98 citations counted in INSPIRE as of 10 Jan 2025
\bibitem{Ceren-null}
N.~S.~Deger, C.~A.~Deral, A.~Saha and \"O.~Sar\i{}o\u{g}lu,
%``Rotating AdS$_{3}$\texttimes{} S$^{3}$ and dyonic strings from 3-dimensions,''
JHEP \textbf{10}, 185 (2024)
%doi:10.1007/JHEP10(2024)185
%[arXiv:2408.03197 [hep-th]].
%2 citations counted in INSPIRE as of 10 Jan 2025
\bibitem{Deger:2024obg}
N.~S.~Deger and C.~A.~Deral,
%``Timelike supersymmetric solutions of D=3, N=4 supergravity,''
Phys. Rev. D \textbf{111}, no.4, 4 (2025)
% doi:10.1103/PhysRevD.111.046007
[arXiv:2411.04437 [hep-th]].
%2 citations counted in INSPIRE as of 05 Dec 2025
\bibitem{Deger:2025vni}
N.~S.~Deger and C.~A.~Deral,
%``Supersymmetric Null and Timelike Warped AdS and Strings in D=3, N=2 Gauged Supergravity,''
[arXiv:2510.25652 [hep-th]].
%0 citations counted in INSPIRE as of 05 Dec 2025

\end{thebibliography}

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