Abstract
AdS7 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 AdS7 vacua dual to nonperturbative F-theory configurations. Finally, we propose a holographic a-theorem for six-dimensional Higgs branch RG flows.
Highlights
Six-dimensional superconformal field theories (SCFT’s ) have received a great deal of attention in recent years
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
We provide further compelling evidence for the advocated duality between the AdS7 vacua of [27, 30], the brane configurations of [3, 4], and a vast class of (1, 0) SCFT’s. To obtain such a result we had to generalize the simple combinatorial formalism of [1] in order to construct more general AdS7 vacua featuring orientifold sources. (The possiblity of having vacua with an O8-plane source was suggested in [30] but left unexplored. [52] recently constructed a first concrete example which is dual to the so-called massive E-string theory.) As an interesting byproduct of this, we exhibit for the first time the supergravity duals to some of the “formal” massive IIA brane setups of [32], which are characterized by the same a conformal anomaly as certain nonperturbative F-theory configurations
Summary
Six-dimensional superconformal field theories (SCFT’s ) have received a great deal of attention in recent years. There it was shown that the a conformal anomaly of (1, 0) theories engineered by NS5-D6-D8 brane configurations in type IIA perfectly agrees with the supergravity result computed using the massive AdS7 vacua of [27, 30] Emboldened by this nontrivial result, we extend the six-dimensional holographic a anomaly match to cases where orientifolds are present.. [52] recently constructed a first concrete example which is dual to the so-called massive E-string theory.) As an interesting byproduct of this, we exhibit for the first time the supergravity duals to some of the “formal” massive IIA brane setups of [32], which are characterized by the same a conformal anomaly as certain nonperturbative F-theory configurations We argue that these type IIA AdS7 solutions can be understood as gravity duals to the Ftheory quivers, complementing a very scarce class of AdS vacua of type IIB with varying and monodromic axiodilaton.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
