7752 1912.04807 10.1140/epjc/s10052-020-7752-x 201 24 Twisted compactifications of 6D field theories from maximal 7D gauged supergravity Regular Article - Theoretical Physics 1 49 2020 2 19 2020 1 17 2020 2 18 2020 3 4 The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. Funded by SCOAP3 Parinya Karndumri parinya.ka@hotmail.com Patharadanai Nuchino danai.nuchino@hotmail.com 0000 0001 0244 7875 grid.7922.e String Theory and Supergravity Group, Department of Physics, Faculty of Science Chulalongkorn University 254 Phayathai Road Pathumwan Bangkok 10330 Thailand Abstract We study supersymmetric

A d S_{n} \times Σ^{7 - n}

n = 2, 3, 4, 5

solutions in seven-dimensional maximal gauged supergravity with

C S O (p, q, 5 - p - q)

and

C S O (p, q, 4 - p - q)

gauge groups. These gauged supergravities are consistent truncations of eleven-dimensional supergravity and type IIB theory on

H^{p, q} \circ T^{5 - p - q}

and

H^{p, q} \circ T^{4 - p - q}

, respectively. Apart from recovering the previously known

A d S_{n} \times Σ^{7 - n}

solutions in SO(5) gauge group, we find novel classes of

A d S_{5} \times S^{2}

A d S_{3} \times S^{2} \times Σ^{2}

and

A d S_{3} \times C P^{2}

solutions in non-compact SO(3, 2) gauge group together with a class of

A d S_{3} \times C P^{2}

solutions in SO(4, 1) gauge group. In SO(5) gauge group, we extensively study holographic RG flow solutions interpolating from the SO(5) supersymmetric

A d S_{7}

vacuum to the

A d S_{n} \times Σ^{7 - n}

fixed points and singular geometries in the form of curved domain walls with

M k w_{n - 1} \times Σ^{7 - n}

slices. In many cases, the singularities are physically acceptable and can be interpreted as non-conformal phases of

(n - 1)

-dimensional SCFTs obtained from twisted compactifications of

N = (2, 0)

SCFT in six dimensions. In SO(3, 2) and SO(4, 1) gauge groups, we give a large number of RG flows between the new

A d S_{n} \times Σ^{7 - n}

fixed points and curved domain walls while, in

C S O (p, q, 4 - p - q)

gauge group, RG flows interpolating between asymptotically locally flat domain walls and curved domain walls are given.