Twisted compactification of \(N=2\) 5D SCFTs to three and two dimensions from \(F(4)\) gauged supergravity

DOI10.1007/JHEP09(2015)034zbMATH Open1388.83838arXiv1507.01515OpenAlexW3105992683MaRDI QIDQ2635794

Author name not available (Why is that?)

Publication date: 31 May 2018

Published in: (Search for Journal in Brave)

Abstract: We study supersymmetric

A d S_{4} i m e s S i g m a_{2}

and

A d S_{3} i m e s S i g m a_{3}

solutions in half-maximal gauged supergravity in six dimensions with

S U (2)_{R} i m e s S U (2)

gauge group. The gauged supergravity is obtained by coupling three vector multiplets to the pure

F (4)

gauged supergravity. The

S U (2)_{R}

R-symmetry together with the

S O (3) s i m S U (2)

symmetry of the vector multiplets are gauged. The resulting gauged supergravity admits supersymmetric

A d S_{6}

critical points with

S O (4) s i m S U (2) i m e s S U (2)

and

S O (3) s i m S U (2)_{e x t r m d i a g}

symmetries. The former corresponds to five-dimensional

N = 2

superconformal field theories (SCFTs) with

E_{1} s i m S U (2)

symmetry. We find new classes of supersymmetric

A d S_{4} i m e s S i g m a_{2}

and

A d S_{3} i m e s S i g m a_{3}

solutions with

S i g m a_{2, 3}

being

S^{2, 3}

and

H^{2, 3}

. These solutions describe SCFTs in three and two dimensions obtained from twisted compactifications of the aforementioned five-dimensional SCFTs with different numbers of unbroken supersymmetry and various types of global symmetries.

Full work available at URL: https://arxiv.org/abs/1507.01515

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