AdS7/CFT6 with orientifolds

Abstract

AdS 7 solutions of massive type IIA have been classified, and are dual to a large class of six-dimensional (1, 0) SCFT's whose tensor branch deformations are described by linear quivers of SU groups. Quivers and AdS vacua depend solely on the group theory data of the NS5-D6-D8 brane configurations engineering the field theories. This has allowed for a direct holographic match of their a conformal anomaly. In this paper we extend the match to cases where O6 and O8-planes are present, thereby introducing SO and USp groups in the quivers. In all of them we show that the a anomaly computed in supergravity agrees with the holographic limit of the exact field theory result, which we extract from the anomaly polynomial. As a byproduct we construct special AdS 7 vacua dual to nonperturbative F-theory configurations. Finally, we propose a holographic a-theorem for six-dimensional Higgs branch RG flows.

Supersymmetric solutions of matter-coupled 7D N=2 gauged supergravity

“…The corresponding AdS 7 vacua are dual to N = (1, 0) SCFTs, see for example [4,5]. Some of these SCFTs can be obtained from an orbifold of the N = (2, 0) SCFTs [6,7], and recently, an interest in N = (1, 0) SCFTs has been increased by many new results, see [8,9,10,11,12] for an incomplete list. N = 2 gauged supergravity has been constructed for a long time in [13,14,15].…”

General prescription for globalU(1)’s in 6D SCFTs

“…Tr ρ F 2 = Ind ρ TrF 2 , (A.8) with x ρ , y ρ , c ρ , and Ind ρ known group theory constants. c ρ here is defined as in Table 1, and throughout this paper the values of x ρ , y ρ , and Ind ρ agree with the conventions of [26,27,29]. 18…”

“…A prominent example illustrating the power of such methods is the recent classification of six-dimensional superconformal field theories (6D SCFTs) via Ftheory [4,5] (see also [6,7]). This provides a remarkably flexible approach to constructing 6D SCFTs which encompasses essentially all other methods (see [8][9][10][11][12][13][14][15][16][17][18][19][20][21] for a partial list of older references, references [22][23][24][25][26] for recent holographic examples, and [27] for a review).With these results in place, it is natural to ask what detailed features of 6D SCFTs can be extracted from the associated geometries. One piece of information which is readily available from an F-theory model is the tensor branch of the 6D SCFT moduli space, as this is encoded directly in terms of Kähler deformations of the base of an F-theory model.…”

Holographic duals of 6d RG flows

“…The G = SO(2k) can be obtained by suitably orientifolding (2.16); this adds two O6-planes to the endpoints of I; the holographic anomaly match also works in this case [25]. (An additional possibility is to have an O8 [25,26]; this however corresponds to theories outside the class (2.1). )…”