Twisted compactifications of 6D field theories from maximal 7D gauged supergravity

Abstract

AbstractWe study supersymmetric $$AdS_n\times \Sigma ^{7-n}$$AdSn×Σ7-n, $$n=2,3,4,5$$n=2,3,4,5 solutions in seven-dimensional maximal gauged supergravity with $$CSO(p,q,5-p-q)$$CSO(p,q,5-p-q) and $$CSO(p,q,4-p-q)$$CSO(p,q,4-p-q) gauge groups. These gauged supergravities are consistent truncations of eleven-dimensional supergravity and type IIB theory on $$H^{p,q}\circ T^{5-p-q}$$Hp,q∘T5-p-q and $$H^{p,q}\circ T^{4-p-q}$$Hp,q∘T4-p-q, respectively. Apart from recovering the previously known $$AdS_n\times \Sigma ^{7-n}$$AdSn×Σ7-n solutions in SO(5) gauge group, we find novel classes of $$AdS_5\times S^2$$AdS5×S2, $$AdS_3\times S^2\times \Sigma ^2$$AdS3×S2×Σ2 and $$AdS_3\times CP^2$$AdS3×CP2 solutions in non-compact SO(3, 2) gauge group together with a class of $$AdS_3\times CP^2$$AdS3×CP2 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 $$AdS_7$$AdS7 vacuum to the $$AdS_n\times \Sigma ^{7-n}$$AdSn×Σ7-n fixed points and singular geometries in the form of curved domain walls with $$Mkw_{n-1}\times \Sigma ^{7-n}$$Mkwn-1×Σ7-n slices. In many cases, the singularities are physically acceptable and can be interpreted as non-conformal phases of $$(n-1)$$(n-1)-dimensional SCFTs obtained from twisted compactifications of $$N=(2,0)$$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 $$AdS_n\times \Sigma ^{7-n}$$AdSn×Σ7-n fixed points and curved domain walls while, in $$CSO(p,q,4-p-q)$$CSO(p,q,4-p-q) gauge group, RG flows interpolating between asymptotically locally flat domain walls and curved domain walls are given.