PIRSA:13100108

All AdS7 solutions of type II supergravity

Tomasiello, A. (2013). All AdS7 solutions of type II supergravity. Perimeter Institute. https://pirsa.org/13100108

Tomasiello, Alessandro. All AdS7 solutions of type II supergravity. Perimeter Institute, Oct. 18, 2013, https://pirsa.org/13100108 

          @misc{ pirsa_PIRSA:13100108,
            doi = {10.48660/13100108},
            url = {https://pirsa.org/13100108},
            author = {Tomasiello, Alessandro},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {All AdS7 solutions of type II supergravity},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {oct},
            note = {PIRSA:13100108 see, \url{https://pirsa.org}}
          }

Alessandro Tomasiello

University of Milano-Bicocca

Talk number
PIRSA:13100108
Collection
Talk Type
Subject
Abstract
In M-theory, the only AdS7 supersymmetric solutions are AdS7 × S4 and its orbifolds. In this talk, I will describe a classification of AdS7 supersymmetric solutions in type II supergravity. While in IIB none exist, in IIA with Romans mass (which does not lift to M-theory) there are many new ones. The classification starts from a pure spinor approach reminiscent of generalized complex geometry. Without the need for any Ansatz, the method determines uniquely the form of the metric and fluxes, up to solving a system of ODEs. Namely, the metric on M3 is that of an S2 fibered over an interval; this is consistent with the Sp(1) R-symmetry of the holographically dual (1,0) theory. One can obtain numerically many solutions, with D8 and/or D6 brane sources; topologically, the internal manifold M3 = S^3.